Gravity effects of polyhedral bodies with linearly varying density M. G. D.Urso Vol. 120 pages 349-372 DOI 10.1007/s10569-014-9578-z Keywords: Gravitational potential - Gradient - Singularities - Polyhedra - Eros Evolution of the L1 halo family in the radial solar sail circular restricted three-body problem Patricia Verrier, Thomas Waters, Jan Sieber Vol. 120 pages 373-400 DOI 10.1007/s10569-014-9575-2 Keywords: CRTBP - Solar sails - Periodic orbits - Halo orbits - Numerical continuation - Families of periodic orbits - Solar radiation pressure Lunar capture in the planar restricted three-body problem Yi Qi, Shijie Xu Vol. 120 pages 401-422 DOI 10.1007/s10569-014-9582-3 Keywords: Near-optimal lunar capture - Gravitational capture - KAM tori - Restricted three body problem - Earth.Moon transfer - Low energy transfer Partial reduction and Delaunay/Deprit variables Lei Zhao Vol. 120 pages 423-432 DOI 10.1007/s10569-014-9584-1 Keywords: Partial reduction - Delaunay coordinates - Deprit coordinates - Symplectic cross-section - N-body problem - Elimination of the nodes Constructing ballistic capture orbits in the real Solar System model Z.-F. Luo, F. Topputo, F. Bernelli-Zazzera and G.-J. Tang Vol. 120 pages 433-450 Erratum 451-452 DOI 10.1007/s10569-014-9580-5 Keywords: Ballistic capture - Restricted three-body problem - Real Solar System model - Stability index - Post-capture stability Connection between Hill stability and weak stability in the elliptic restricted three-body problem Zoltán Makó Vol. 120 pages 233-248 DOI 10.1007/s10569-014-9577-0 Keywords: Weak stability boundary - Weak capture - Hill stability - Elliptic restricted three-body problem Cylindrical isomorphic mapping applied to invariant manifold dynamics for Earth.Moon Missions Marco Giancotti, Mauro Pontani and Paolo Teofilatto Vol. 120 pages 249-268 DOI 10.1007/s10569-014-9563-6 Keywords: Planar circular restricted three body problem - Invariant manifolds - Isomorphic map - Heteroclinic connections - End-of-life strategies - Image trajectories Families of periodic orbits in Hill.s problem with solar radiation pressure: application to Hayabusa 2 Marco Giancotti, Stefano Campagnola, Yuichi Tsuda, Jun.ichiro Kawaguchi Vol. 120 pages 269-286 DOI 10.1007/s10569-014-9564-5 Keywords: Hayabusa 2 - Hill.s Problem - Solar radiation pressure - Periodic orbits - Stability - Numerical continuation Sun.Earth L1 and L2 to Moon transfers exploiting natural dynamics Willem Johan van der Weg, M.Vasile Vol. 120 pages 287-308 DOI 10.1007/s10569-014-9581-4 Keywords: Coupled circular restricted three-body problem - Libration point - Weak capture - Lunar impact - Lunar capture - Solar radiation pressure - Survivability Combined low-thrust propulsion and invariant manifold trajectories to capture NEOs in the Sun.Earth circular restricted three-body problem G. Mingotti, J. P. Sánchez, C. R. McInnes Vol. 120 pages 309-336 DOI 10.1007/s10569-014-9589-9 Keywords: Near-Earth object capture - Invariant manifolds - Low-thrust propulsion - Special dedicated sets - Optimal control problem - Libration point periodic orbit (LPO) - Distant prograde periodic orbit (DPO) - Easily retrievable objects (EROs) - Asteroid retrieval candidates Tether orientation control for lunar elevator Alexander A. Burov, Anna D. Guerman and Ivan I. Kosenko Vol. 120 pages 337-347 DOI 10.1007/s10569-014-9579-y Keywords: Tether system - Space elevator - Lunar elevator - Tether orientation control - Moon exploration - Asteroid exploration Escape dynamics and fractal basin boundaries in the planar Earth.Moon system Sheila C. de Assis, Maisa O. Terra Vol. 120 pages 105-130 DOI 10.1007/s10569-014-9567-2 Keywords: Escape basins - Fractal basin boundaries - Chaotic scattering - Restricted three-body problem - Stickiness effects - Temporary capture - Escape dynamics Quasi-satellite orbits in the general context of dynamics in the 1:1 mean motion resonance: perturbative treatment Vladislav V. Sidorenko, Anatoly I. Neishtad, Anton V. Artemyev, Lev M. Zelenyi Vol. 120 pages 131-162 DOI 10.1007/s10569-014-9565-4 Keywords: Asteroids - 1:1 mean-motion resonance - Quasi-satellite orbits - Double averaging - Retrograde satellite orbits New families of Sun-centered non-Keplerian orbits over cylinders and spheres Jeannette Heiligers, Colin R. McInnes Vol. 120 pages 163-194 DOI 10.1007/s10569-014-9570-7 Keywords: Non-Keplerian orbits - Orbital dynamics - Solar sailing - Solar electric propulsion - Low-thrust propulsion Quasi-terminator orbits near primitive bodies Stephen B. Broschart, Gregory Lantoine, D.J.Grebow Vol. 120 pages 195-215 DOI 10.1007/s10569-014-9574-3 Keywords: Hamiltonian systems - Restricted problems - Periodic orbits - Asteroid - Solar radiation pressure - Quasi-periodic motion Satellite onboard orbit propagation using Deprit.s radial intermediary Pini Gurfil, Martin Lara Vol. 120 pages 217-232 DOI 10.1007/s10569-014-9576-1 Keywords: Orbit propagation - Analytical theories - Perturbed motion - Artificial satellite theory Gravitational lunar capture based on bicircular model in restricted four body problem Yi Qi, ShiJie Xu, Rui Qi Vol. 120 pages 1-17 DOI 10.1007/s10569-014-9554-7 Keywords: Gravitational capture - Bicircular model - Minimum capture eccentricity - Low energy transfer Dynamics of Kepler problem with linear drag Alessandro Margheri, Rafael Ortega and Carlota Ribeiro Vol. 120 pages 19-38 DOI 10.1007/s10569-014-9553-8 Keywords: Kepler problem - Linear drag - Collision - Levi-Civita transformation Delaunay variables approach to the elimination of the perigee in Artificial Satellite Theory Martin Lara, Juan F. San-Juan, Luis M. López-Ochoa Vol. 120 pages 39-56 DOI 10.1007/s10569-014-9559-2 Keywords: Canonical simplification - Artificial Satellite Theory - Delaunay variables - Elimination of the perigee - Lie transformations A novel algorithm for generating libration point orbits about the collinear points Yuan Ren, Jinjun Shan Vol. 120 pages 57-75 DOI 10.1007/s10569-014-9560-9 Keywords: Circular-restricted three-body problem - Full solar system model - Libration point orbits - Differential evolution algorithm On the stability of dust orbits in mean-motion resonances perturbed by from an interstellar wind Pavol Pástor Vol. 120 pages 77-104 DOI 10.1007/s10569-014-9558-3 Keywords: Interplanetary dust - Mean-motion resonances - Averaged resonant equations - Poynting.Robertson effect - Stellar wind - Interstellar gas flow Editorial A. Celletti - S. Ferraz-Mello Vol. 119 page 219 DOI 10.1007/s10569-014-9573-4 Vertical instability and inclination excitation during planetary migration G. Voyatzis . K. I. Antoniadou . K. Tsiganis Vol.119 pages 221-235 DOI 10.1007/s10569-014-9566-3 Keywords: Inclination excitation - Type II migration - Periodic orbits - Vertical stability - Planetary systems - Vertical critical orbit Development of planet ephemerides EPM and their applications E. V. Pitjeva - N. P. Pitjev Vol.119 pages 237-256 DOI 10.1007/s10569-014-9569-0] Keywords:EPM planetary ephemerides - Dynamical model of planet motion - Radar and optical observations - Asteroid masses - PPN parameters - \dot{GM_\odot} - \dot{G} - Dark matter The geometry of impacts on a synchronous planetary satellite G. B. Valsecchi . E. M. Alessi . A. Rossi- Vol.119 pages 257-270 DOI 10.1007/s10569-014-9571-6 Keywords: Cratering asymmetry - Extended Öpik theory - Close encounter - Collision - Satellite Motion of Pasiphae's perijove and node N. A. Solovaya . E. M. Pittich Vol.119 pages 271-281 DOI 10.1007/s10569-014-9561-8 Keywords: Pasiphae - Three body problem - Dynamical evolution - Lidov-Kozai - Von Zeipel - Perijove circulation - 70F07 - 70F15 The 3:1 mean motion resonance between Miranda and the inner Uranian satellites, Cressida and Desdemona Emilie Verheylewegen - Anne Lemaitre Vol.119 pages 283-299 DOI 10.1007/s10569-014-9550-y Keywords: Restricted 3-body problem - Oblateness - Inner Uranian system - Miranda-Cressida-Desdemona High precision predictions for near-Earth asteroids: the strange case of (3908) Nyx D. Farnocchia - S. R. Chesley - D. J. Tholen - M. Micheli Vol.119 pages 301-312 DOI 10.1007/s10569-014-9536-9 Keywords: Astrometric treatment - Orbit determination - Asteroids - Yarkovsky effect - Orbital drift The two-body interaction potential in the STF tensor formalism: an application to binary asteroids A. Compère - A. Lemaître Vol.119 pages 313-330 DOI 10.1007/s10569-014-9568-1 Keywords: Celestial mechanics - Binary asteroids - Full two-body rigid problem - Symmetric trace free tensor - Asteroid (66391) 1999 KW4 Analytical invariant manifolds near unstable points and the structure of chaos Christos Efthymiopoulos - George Contopoulos - Matthaios Katsanikas Vol.119 pages 331-356 DOI 10.1007/s10569-014-9546-7 Keywords: Hyperbolic normal form - Invariant manifolds - Homoclinic chaos - Hamiltonian models - Symplectic mappings Universal unfolding of symmetric resonances Antonella Marchesiello - Giuseppe Pucacco Vol. 119 Vol. 120 pages 357-368 DOI 10.1007/s10569-014-9557-4 Keywords: Finite-dimensional Hamiltonian systems - Perturbation theory - Normal forms - Bifurcation sequences Numerical Search for Periodic Solutions in the Vicinity of the Figure-Eight Orbit: Slaloming around Singularities on the Shape Sphere Milovan Suvakov Vol. 119 pages 369-377 DOI 10.1007/s10569-014-9572-5 Keywords: Three-body problem - Periodic solutions - Choreography - Topological classification - Geometric-algebraic classes Orbits near central configurations for four equal masses Winston L. Sweatman Vol. 119 pages 379-395 DOI 10.1007/s10569-014-9556-5 Keywords: Central configurations - Relative equilibria - Four-body problem - Siegel exponents - Eigenmodes On the convergence of an algorithm constructing the normal form for elliptic lower dimensional tori in planetary systems Antonio Giorgilli . Ugo Locatelli . Marco Sansottera Vol. 119 pages 397-424 DOI 10.1007/s10569-014-9562-7 Keywords: KAM theory - Lower dimensional invariant tori - Normal form methods - n-Body planetary problem - Hamiltonian systems - Small divisors - Lie series Dynamics of the Jupiter Trojans with Saturn.s perturbation in the present configuration of the two planets Xiyun Hou, Daniel J. Scheeres, Lin Liu Vol. 119 Pages 119-142 DOI 10.1007/s10569-014-9544-9 Keywords: Libration points - Dynamical substitutes - High-order perturbations - Resonance overlap - Resonance - Stability Bandlimited implicit Runge.Kutta integration for Astrodynamics Ben K. Bradley, Brandon A. Jones, Gregory Beylkin, Kristian Sandberg, Penina Axelrad Vol. 119 Pages 143-168 DOI 10.1007/s10569-014-9551-x Keywords: Numerical integration - Implicit Runge.Kutta - Initial value problem - Orbit propagation - Symplectic property Small body surface gravity fields via spherical harmonic expansions Yu Takahashi, D. J. Scheeres Vol. 119 Pages 169-206 DOI 10.1007/s10569-014-9552-9 Keywords: Asteroid - Gravity field - Spherical harmonics - Spherical Bessel function - Proximity operation - Laplace.s equation - Poisson.s equation - Brillouin sphere - Bennu - Castalia Motion of particles on a z=2 Lifshitz black hole background in 3+1 dimensions Marco Olivares, Yerko Vásquez, J. R. Villanueva, Felipe Moncada Vol. 119 Pages 207-217 DOI 10.1007/s10569-014-9555-6 Keywords: Lifshitz black holes - Causal Structure - Geodesics Capture probability in the 3:1 mean motion resonance with Jupiter: an application to the Vesta family H. A. Folonier, F. Roig, C. Beaugé Vol. 119 Pages 1-25 DOI 10.1007/s10569-014-9542-y Keywords: Asteroids - Resonances - Capture probabilities - Adiabatic migration - Symplectic mappings - V-type asteroids Solving Kepler.s equation via Smale.s alpha-theory Martín Avendano, Verónica Martín-Molina, Jorge Ortigas-Galindo Vol. 119 Pages 27-44 DOI 10.1007/s10569-014-9545-8 Keywords: Kepler.s equation - Smale.s alpha-theory - Newton.s method - Optimal starter Lie-series for orbital elements: I. The planar case András Pál Vol. 119 Pages 45-54 DOI 10.1007/s10569-014-9548-5 Keywords: N-body problems - Numerical methods - Lie-integration - Planetary systems - Recurrence relations - Taylor coefficients Time-varying transformations for Hill.Clohessy.Wiltshire solutions in elliptic orbits Ryan E. Sherrill, Andrew J. Sinclair, S. C. Sinha, T. Alan Lovell Vol. 119 Pages 55-73 DOI 10.1007/s10569-014-9543-x Keywords: Relative motion equations - Lyapunov-Floquet transformation - Tschauner-Hempel equations Effective stability around the Cassini state in the spin-orbit problem Marco Sansottera, Christoph Lhotka, Anne Lemaître Vol. 119 Pages 75-89 DOI 10.1007/s10569-014-9547-6 Keywords: Spin-orbit resonance - Normal form methods - Cassini state - Titan - Long-time stability Quasi-periodic solutions of the spatial lunar three-body problem Lei Zhao Vol. 119 Pages 91-118 DOI 10.1007/s10569-014-9549-4 Keywords: Three-body problem - KAM theorem - Invariant tori - Secular dynamics - Lidov-Ziglin quadrupolar dynamics Self-gravity in curved mesh elements Jean-Marc Huré, Audrey Trova, Franck Hersant Vol. 118 Pages 299-314 DOI 10.1007/s10569-013-9535-x Keywords: Gravitational potential - Discs - Numerical models - Continuous systems Explicit evolution relations with orbital elements for eccentric, inclined, elliptic and hyperbolic restricted few-body problems Dimitri Veras Vol. 118 Pages 315-353 DOI 10.1007/s10569-013-9537-8 Keywords: Perturbation equations - Restricted problems - Planetary systems - Averaged equations - Gravitational N-body problem - Circumbinary case F and G Taylor series solutions to the Stark and Kepler problems with Sundman transformations Etienne Pellegrini, Ryan P. Russell, Vivek Vittaldev Vol. 118 Pages 355-378 DOI 10.1007/s10569-013-9538-7 Keywords: Stark problem - Kepler problem - Generalized Sundman transformation - Taylor series - F&G series - Low-thrust - Trajectory propagation - Taylor series methods Secular dynamics of a lunar orbiter: a global exploration using Prony.s frequency analysis S. Tzirti, A. Noullez, K. Tsiganis Vol. 118 Pages 379-397 DOI 10.1007/s10569-013-9540-0 Keywords: Satellites - Lunar gravity field - Periodic orbits - Frequency analysis The local standard of rest and the well in the velocity distribution Charles Francis, Erik Anderson Vol. 118 Pages 399-413 DOI 10.1007/s10569-013-9541-z Keywords: Stars: kinematics - Stars: statistics - Galaxy: kinematics and dynamics - Galaxy: solar neighbourhood On the Milankovitch orbital elements for perturbed Keplerian motion Aaron J. Rosengren, Daniel J. Scheeres Vol. 118 Pages 197-220 DOI 10.1007/s10569-013-9530-7 Keywords: Kepler problem - Orbit perturbation - Variation of parameters - Nonsingular elements - Averaging - Solar radiation pressure Short-axis-mode rotation of a free rigid body by perturbation series Martin Lara Vol. 118 Pages 221-234 DOI 10.1007/s10569-013-9532-0 Keywords: Free rigid body - Short-axis-mode - Action-angle variables - Lie transforms - Hamiltonian formulation - Andoyer variables Coupling between corotation and Lindblad resonances in the presence of secular precession rates Maryame El Moutamid, Bruno Sicardy, Stéfan Renner Vol. 118 Pages 235-252 DOI 10.1007/s10569-013-9533-z Keywords: Three-body planar problem - Mean-motion resonance - Hamiltonian formalism - Corotation - Lindblad - Resonant satellites - Aegaeon - Methone - Anthe Curvilinear coordinate transformations for relative motion David A. Vallado, Salvatore Alfano Vol. 118 Pages 253-271 DOI 10.1007/s10569-013-9531-1 Keywords: Covariance propagation - Relative motion - Hill.s equations - Curvilinear transformation - Proximity operations Kepler accuracy model for co-periodic satellite separation extrema Robert D. Furber Vol. 118 Pages 273-289 DOI 10.1007/s10569-013-9534-y Keywords: Proper relative extrema - Co-periodic orbits - Satellite relative motion - Configuration manifold - Estimated condition number Approximate analytic solutions to the isothermal Lane.Emden equation R. Iacono, M. De Felice Vol. 118 Pages 291-298 DOI 10.1007/s10569-013-9539-6 Keywords: Isothermal Lane.Emden equation - Bonnor.Ebert gas spheres - Padé approximants Analytical formulation of impulsive collision avoidance dynamics Claudio Bombardelli Vol. 118 Pages 99-114 DOI 10.1007/s10569-013-9526-3 Keywords: Collision avoidance - Space debris - Perturbation theory - Orbit propagation - COLA manoeuvre - Relative dynamics - Iridium-Cosmos collision The existence of a Smale horseshoe in a planar circular restricted four-body problem Zhikun She, Xuhua Cheng Vol. 118 Pages 115-127 DOI 10.1007/s10569-013-9528-1 Keywords: Smale horseshoe - Smale.Birkhoff theorem - Poincaré map - Conley.Moser conditions - Chaotic dynamics Application of the transformation of variables technique for uncertainty mapping in nonlinear filtering R. M. Weisman, M. Majji, K. T. Alfriend Vol. 118 Pages 129-164 DOI 10.1007/s10569-013-9527-2 Keywords: Uncertainty mapping - Sparse observations - Kalman filters - Bayesian inference - Transformation of variables - Parameter estimation - Bayes filter Analytic characterization of measurement uncertainty and initial orbit determination on orbital element representations R. M. Weisman, M. Majji, K. T. Alfriend Vol. 118 Pages 165-195 DOI 10.1007/s10569-013-9529-0 Keywords: Preliminary orbit determination - Uncertainty mapping - Sparse observations - J2 perturbation - Orbital elements Solving Kepler.s equation using implicit functions Daniele Mortari, Antonio Elipe Vol. 118 Pages 1-11 DOI 10.1007/s10569-013-9521-8 Keywords: Kepler equation - Optimal starter - Bézier functions - Root finder Orbit and uncertainty propagation: a comparison of Gauss.Legendre-, Dormand.Prince-, and Chebyshev.Picard-based approaches Jeffrey M. Aristoff, Joshua T. Horwood, Aubrey B. Poore Vol. 118 Pages 13-28 DOI 10.1007/s10569-013-9522-7 Keywords: Implicit Runge.Kutta - Uncertainty propagation - Satellites - Variable step A new family of multistep numerical integration methods based on Hermite interpolation M. A. Sharifi, M. R. Seif Vol. 118 Pages 29-48 DOI 10.1007/s10569-013-9517-4 Keywords: Numerical integration - Satellite orbit integration - Explicit and implicit multistep methods - Multiderivatives methods - Hermite interpolation Near distance approximation in astrodynamical applications of Lambert.s theorem Alexander Rauh, Jürgen Parisi Vol. 118 Pages 49-74 DOI 10.1007/s10569-013-9524-5 Keywords: Orbital transfer - Rendezvous scenario - Admissible initial positions - Gauss.s method - Lambert theory - Error estimation Effect of topographic bias on geoid and reference ellipsoid of Venus, Mars, and the Moon A. A. Ardalan, R. Karimi Vol. 118 Pages 75-88 DOI 10.1007/s10569-013-9523-6 Keywords: Topographic bias - Geoid - Reference ellipsoid - Venus - Mars - The Moon An analytical proof on certain determinants connected with the collinear central configurations in the n -body problem Zhifu Xie Vol. 118 Pages 89-97 DOI 10.1007/s10569-013-9525-4 Keywords: Skew symmetric matrix - Determinant - Pfaffian - Central configurations ---------------------------------------------------------------------- 2013 Spin-driven tidal pumping: tidally driven changes in planetary spin coupled with secular interactions between planets Richard Greenberg, Christa Van Laerhoven, Rory Barnes vol. 117 pp. 331-348 DOI 10.1007/s10569-013-9518-3 Keywords: Tides - Secular theory - Planetary systems - Planets - Dissipative forces High-order solutions of invariant manifolds associated with libration point orbits in the elliptic restricted three-body system Hanlun Lei, Bo Xu, Xiyun Hou, Yisui Sun vol. 117 pp. 349-384 DOI 10.1007/s10569-013-9515-6 Keywords: Elliptic restricted three-body problem - Invariant manifold - Lindstedt.Poincaré method - Lissajous orbit - Halo orbit - Collinear libration point Coupled orbit-attitude dynamics of high area-to-mass ratio (HAMR) objects: influence of solar radiation pressure, Earth.s shadow and the visibility in light curves Carolin Früh, Thomas M. Kelecy, Moriba K. Jah vol. 117 pp. 385-404 DOI 10.1007/s10569-013-9516-5 Keywords: Artificial satellites and spacecrafts - Space debris - Shadow models - Visibility constraints Retrograde resonance in the planar three-body problem M. H. M. Morais, F. Namouni vol. 117 pp. 405-421 DOI 10.1007/s10569-013-9519-2 Keywords: Resonance - Three-body problem - Surface of section - Co-orbital resonance Contractivity-preserving explicit Hermite.Obrechkoff ODE solver of order 13 Truong Nguyen-Ba, Steven J. Desjardins, Philip W. Sharp, Rémi Vaillancourt vol. 117 pp. 423-434 DOI 10.1007/s10569-013-9520-9 Keywords: Contractivity preserving - Explicit Hermite-Obrechkoff method - Number of function evaluations - Comparing ODE solvers - Comparing to DP(8,7)13M - n-body simulation - nonstiff ODEs Families of double symmetric .Schubart-like. periodic orbits Regina Martínez Vol. 117 pp. 217-243 DOI 10.1007/s10569-013-9509-4 Keywords: Symmetric periodic orbits - n-body problem - Collisions - DSSP orbits Recursive computation of mutual potential between two polyhedra Masatoshi Hirabayashi, Daniel J. Scheeres Vol. 117 pp. 245-262 DOI 10.1007/s10569-013-9511-x Keywords: Extended body dynamics - Gravity - Rotation of celestial bodies - Numerical methods - Binary systems On the planar motion in the full two-body problem with inertial symmetry Pamela Woo, Arun K. Misra, Mehdi Keshmiri Vol. 117 pp 263-277 DOI 10.1007/s10569-013-9512-9 Keywords: Binary asteroids - Full two-body problem - Planar motion On optimal two-impulse Earth.Moon transfers in a four-body model Francesco Topputo Vol. 117 pp. 279-313 DOI 10.1007/s10569-013-9513-8 Keywords: Earth.Moon transfer - Low-energy transfer - Ballistic capture - Trajectory optimization - Restricted three-body problem - Restricted four-body problem Non-integrability of the dumbbell and point mass problem Andrzej J. Maciejewski, Maria Przybylska, Leon Simpson, Wojciech Szuminski Vol. 117 pp. 315-330 DOI 10.1007/s10569-013-9514-7 Keywords: Three-body problem - Morales-Ramis theory - Differential Galois theory - Non-integrability Erratum to: Orbital structure of the GJ876 extrasolar planetary system based on the latest Keck and HARPS radial velocity data Roman V. Baluev Vol. 117 p. 215 DOI 10.1007/s10569-013-9504-9 A greedy global search algorithm for connecting unstable periodic orbits with low energy cost. G. A. Tsirogiannis, V. V. Markellos Vol. 117 pp. 201-213 DOI 10.1007/s10569-013-9508-5 Keywords: Space mission design - Invariant manifolds - Unstable periodic orbits - Circular restricted three-body problem - Spatial data structures Computing derivatives of a gravity potential by using automatic differentiation Alberto Abad, Elvis Lacruz Vol. 117 pp. 187-200 DOI 10.1007/s10569-013-9505-8 Keywords: Gravity potential - Partial derivatives - Automatic differentiation - Parallel computing - GPDC algorithm A symplectic integrator for the symmetry reduced and regularised planar 3-body problem with vanishing angular momentum Danya Rose, Holger R. Dullin Vol. 117 pp. 169-185 DOI 10.1007/s10569-013-9503-x Keywords: Geometric integration - Explicit symplectic integration - Numerical integration - 3-Body problem - Symmetry reduction - Hamiltonian system - Regularisation On the extension of the Laplace-Lagrange secular theory to order two in the masses for extrasolar systems Anne-Sophie Libert, Marco Sansottera Vol. 117 pp. 149-168 DOI 10.1007/s10569-013-9501-z Keywords:Extrasolar systems - n-Body problem - Secular dynamics - Normal forms method - Proximity to mean-motion resonances - Upsilon Andromedae Optimal periodic relative orbit and rectilinear relative orbits with eccentric reference orbits Gang Zhang, Di Zhou, Zhaowei Sun, Xibin Cao Vol. 117 pp. 137-148 DOI 10.1007/s10569-013-9499-2 Keywords: Periodic relative orbit - Eccentric reference orbit - Initial coasting time - Minimum fuel - Rectilinear relative orbit - Formation flying - Fly-around trajectory On the .blue sky catastrophe. termination in the restricted four-body problem Jaime Burgos-García, Joaquín Delgado Vol. 117 pp.113-136 DOI 10.1007/s10569-013-9498-3 Keywords: Periodic orbits - Equilibrium points - Stability - Normal form theory - Transverse intersections High order normal form stability estimates for co-orbital motion Christos Efthymiopoulos Vol. 117 Special Issue on Trojans - pp. 101-112 DOI 10.1007/s10569-013-9507-6 Keywords: Trojans - Normal forms - Effective stability - Elliptic restricted three body problem - Averaged Hamiltonian Long term stability of Earth Trojans F. Marzari, H. Scholl Vol. 117 Special Issue on Trojans - pp. 91-100 DOI 10.1007/s10569-013-9478-7 Keywords: Trojan asteroids · Terrestrial planets · Fourier analysis · Orbital stability Resonance · Long-term stability · Yarkovsky force · Asteroid 2010 TK7 Detection of Earth-mass and super-Earth Trojan planets using transit timing variation method Nader Haghighipour, Stephanie Capen, Tobias C. Hinse Vol. 117 Special Issue on Trojans - pp. 75-89 DOI 10.1007/s10569-013-9510-y Keywords: Planetary systems - Stability analysis - MEGNO - Phase space structure - Resonance - Periodic orbits - Numerical method - Kepler space telescope - TTVs Tidal evolution of close-in exoplanets in co-orbital configurations Adrián Rodríguez, Cristian A. Giuppone, T.A.Michtchenko Vol. 117 Special Issue on Trojans - pp. 59-74 DOI 10.1007/s10569-013-9502-y Keywords:Hot Saturns - Hot super Earths - Two-planet systems - Planetary systems disruption - Tides - Exo-Trojans Exchange orbits: an interesting case of co-orbital motion Barbara Funk, Rudolf Dvorak, Richard Schwarz Vol. 117 Special Issue on Trojans - pp.41-58 DOI 10.1007/s10569-013-9497-4 Keywords: Co-orbital motion - Exchange orbits - 1:1 mean motion resonances - Exoplanets - Exchange-e orbits - Exchange-a orbits On the co-orbital motion of two planets in quasi-circular orbits Philippe Robutel, Alexandre Pousse Vol. 117 Special Issue on Trojans - pp.17-40 DOI 10.1007/s10569-013-9487-6 Keywords: Co-orbitals - Resonance - Lagrange configuration - Euler configuration - Planetary problem - Three-body problem - Anti-Lagrange orbits On some long time dynamical features of the Trojan asteroids of Jupiter Bálint Érdi, Emese Forgács-Dajka, Áron Süli Vol. 117 Special Issue on Trojans - pp.3-16 DOI 10.1007/s10569-013-9492-9 Keywords: Restricted three-body problem - Triangular Lagrangian points - Libration Trojan asteroids - (624) Hektor - (588) Achilles - (1870) Glaukos - Libration period John D. Hadjidemetriou, 1937.2013 Harry Varvoglis Vol. 117 Special Issue on Trojans pp.1-2 DOI 10.1007/s10569-013-9506-7 The 2-D lattice theory of Flower Constellations Martín E. Avendaño, Jeremy J. Davis, Daniele Mortari Vol. 116 pp. 325-337 DOI 10.1007/s10569-013-9493-8 Keywords: Satellite constellations design - Lattice flower constellation - Hermite normal forms The 3-D lattice theory of Flower Constellations Jeremy J. Davis, Martín E. Avendaño, Daniele Mortari Vol. 116 pp. 339-356 DOI 10.1007/s10569-013-9494-7 Keywords: Satellites Constellation design - Lattice flower constellation - Global navigation satellite systems - GNSS constellation - J2 effect Perspectives on effectively constraining the location of a massive trans-Plutonian object with the New Horizons spacecraft: a sensitivity analysis L. Iorio Vol. 116 pp. 357-366 DOI 10.1007/s10569-013-9491-x Keywords: Planets - Planet X - Range perturbations Easily retrievable objects among the NEO population D. García Yárnoz, J. P. Sánchez, C. R. McInnes Vol. 116 pp. 367-388 DOI 10.1007/s10569-013-9495-6 Keywords: Asteroids dynamics - Asteroid capture - Near-Earth Objects - Libration point orbits - Asteroid retrieval - Retrievable mass limit Dynamics of rotation of super-Earths Nelson Callegari Jr., Ádrian Rodríguez Vol. 116 pp. 389-416 DOI 10.1007/s10569-013-9496-5 Keywords: Spin.orbit resonance - Terrestrial exoplanets - 55 Cnc planets - CoRoT-7 planets - KOI-55 planets - GJ 876d Orbit classification in the meridional plane of a disk galaxy model with a spherical nucleus Euaggelos E. Zotos, Daniel D. Carpintero Vol. 116 pp. 417-438 DPOI 10.1007/s10569-013-9500-0 Keywords: Galactic Dynamics - Kinematics - Galactic structure chaos threshold - SALI - Maximal Lyapunov characteristic number Motion near frozen orbits as a means for mitigating satellite relative drift P. Gurfil, M. Lara Vol. 116 pp. 213-227 DOI 10.1007/s10569-013-9486-7 Keywords: Cluster flight - Orbital mechanics - Frozen orbits - Zonal harmonics Dynamics of a small body under the action of a Maxwell ring-type N-body system with a spheroidal central body Demetrios Gn. Fakis, Tilemahos Kalvouridis Vol.116 pp.229-240 DOI 10.1007/s10569-013-9484-9 Keywords: Particle dynamics in N-body ring systems - Oblateness - Zero-velocity curves and surfaces - Equilibrium positions Bifurcating families around collinear libration points X. Y. Hou, L. Liu Vol.116 pp.241-263 Stability of equilibrium solutions in the critical case of even-order resonance in periodic Hamiltonian systems with one degree of freedom José E. Mansilla, Claudio Vidal Vol.116 pp.265-277 DOI 10.1007/s10569-013-9488-5 Keywords: Hamiltonian system - Autonomous system - Periodic system - Equilibrium solution - Type of stability - Normal form - Resonances - Lyapunov.s Theorem Libration dynamics and stability of electrodynamic tethers in satellite deorbit R. Zhong, Z. H. Zhu Vol.116 pp. 279-298 DOI 10.1007/s10569-013-9489-4 Keywords: Electrodynamic tether - Libration - Dynamics - Stability - Microsatellites - Nanosatellites - Satellite deorbit Trajectory design strategies applied to temporary comet capture including Poincaré maps and invariant manifolds A. F. Haapala, K. C. Howell Vol.116 pp. 299-323 DOI 10.1007/s10569-013-9490-y Keywords: Comets - Temporary satellite capture - Three-body problem - Poincaré map - Invariant manifolds - Periapsis map - Comet 111P/Helin-Roman-Crockett - Comet 147P/Kushida-Muramatsu - Comet 82P/Gehrels 3 - Comet P/1996 R2 Tidal synchronization of close-in satellites and exoplanets. A rheophysical approach Sylvio Ferraz-Mello Vol.116 pp. 109-140 DOI 10.1007/s10569-013-9482-y Keywords Creep tide · Pseudo-synchronous rotation · Energy dissipation · Solar system · Extrasolar planets · Geodetic lag High precision symplectic integrators for the Solar System Ariadna Farrés · Jacques Laskar · Sergio Blanes · Fernando Casas · Joseba Makazaga · Ander Murua Vol.116 pp. 141-174 DOI 10.1007/s10569-013-9479-6 Keywords: Symplectic integrators · Hamiltonian systems · Planetary motion · Jacobi coordinates · Heliocentric coordinates · Splitting sympletic methods The role of true anomaly in ballistic capture Nicola Hyeraci, Francesco Topputo Vol. 116 pp. 175-193 DOI 10.1007/s10569-013-9481-z Keywords: Ballistic capture - Low energy transfer - Elliptic restricted three-body problem - Sun-Mercury model Asymmetric effects on Earth.s polar motion Christian Bizouard, Leonid Zotov Vol. 116, pp. 195-212 DOI 10.1007/s10569-013-9483-x Keywords: Liouville equation - Earth rotation - Polar motion - Triaxiality - Ocean - Pole tide - Asymmetry - Chandler wobble Disintegration process of hierarchical triple systems II: non-small mass third body orbiting equal-mass binary M. M. Saito, K. Tanikawa, V. V. Orlov Vol.116 pp. 1-10 DOI 10.1007/s10569-013-9474-y Keywords Hierarchical stability · Triple system · KAM stability · Escape · Hierarchical three-body problem Symmetry, bifurcation and stacking of the central configurations of the planar 1+4 body problem Allyson Oliveira Vol.116 pp. 11-20 DOI 10.1007/s10569-013-9472-0 Keywords: Central configurations · Planar coorbital satellites · Bifurcation · Symmetry · Stacked central configurations Robust resolution of Kepler.s equation in all eccentricity regimes Davide Farnocchia, Davide Bracali Cioci, Andrea Milani Vol.116 pp. 21-34 DOI 10.1007/s10569-013-9476-9 Keywords Two-body problem · Kepler.s equation · Newton.s method · Starting points · Universal variables · Near parabolic motion Dust torus formed by particles ejected from a celestial body at an arbitrary point of its elliptic orbit Sergei A. Orlov, Konstantin V. Kholshevnikov Vol.116 pp. 35-52 DOI 10.1007/s10569-013-9473-z Keywords: Dust complex · Family of Keplerian ellipses · Ejected particles motion · Enveloping surface A new set of integrals of motion to propagate the perturbed two-body problem Giulio Baù, Claudio Bombardelli, Jesús Peláez Vol.116 pp. 53-78 DOI 10.1007/s10569-013-9475-x Keywords: Perturbed two-body problem · Regularization · Orbital elements · Orbit propagation · Linearization The impact of Earth.s shadow on the long-term evolution of space debris Ch. Hubaux · A. Lemaître Vol.116 pp. 79-95 DOI 10.1007/s10569-013-9480-0 Keywords Space debris · Solar radiation pressure · Earth.s shadow · Long term · Symplectic · Semi-analytical Solving non-linear Lane.Emden type equations using Bessel orthogonal functions collocation method Kourosh Parand, Mehran Nikarya, J.A.Rad Vol. 116 pp. 97-107 DOI 10.1007/s10569-013-9477-8 Keywords: Orthogonal Bessel function · Lane.Emden type equations · Collocation method · Non-linear ODE · Isothermal gas sphere equation Attitude stability of a spacecraft on a stationary orbit around an asteroid subjected to gravity gradient torque Yue Wang, Shijie Xu Vol. 115 pp. 333-352 DOI 10.1007/s10569-012-9463-6 Keywords: Spacecraft · Mission to asteroids · Gravity gradient torque · Attitude stability · Necessary conditions of stability A series expansion of the solid Earth tide effect on geopotential Sergey M. Kudryavtsev Vol. 115 pp. 353-364 DOI 10.1007/s10569-012-9467-2 Keywords: Geopotential · Solid Earth tides effect · Artificial satellites · Analytical theory of motion · IERS Convention Dynamic limits on planar libration-orbit coupling around an oblate primary Jay W. McMahon, Daniel J. Scheeres Vol. 115 pp. 365-396 DOI 10.1007/s10569-012-9469-0 Keywords: Libration · Gravity gradient · Binary asteroids · Full two-body problem · Libration-orbit coupling · Condition for bounded motion A note on algebraic potentials and Morales.Ramis theory Thierry Combot Vol. 115 pp. 397-404 DOI 10.1007/s10569-013-9470-2 Keywords: Non-integrability · Homogeneous potential · Differential Galois theory A symplectic mapping for the synchronous spin-orbit problem Christoph Lhotka Vol. 115 pp. 405-426 DOI 10.1007/s10569-012-9464-5 Keywords: Synchronous spin-orbit coupling · Hadjidemetriou mapping · Cassini state problem · Titan · Regular satellites Continua of central configurations with a negative mass in the n -body problem Julian Hachmeister · John Little · Jasmine McGhee · Roberto Pelayo · Spencer Sasarita Vol. 115 pp. 427-438 DOI 10.1007/s10569-013-9471-1 Keywords: n-Body problem · Central configurations · Regular polyhedra · Symmetry groups · Neutral configurations · Regular polytope configurations A study of low-energy transfer orbits to the Moon: towards an operational optimization technique R. Capuzzo-Dolcetta, M. Giancotti Vol. 115 pp. 215-232 DOI 10.1007/s10569-012-9458-3 Keywords Low-energy orbits · N-body · Restricted problems · Spacecraft · Numerical methods· Multi-objective optimization Instabilities in the Sun.Jupiter.Asteroid three body problem John C. Urschel, Joseph R. Galante Vol. 115 pp. 233-259 DOI 10.1007/s10569-012-9461-8 Keywords: Hamiltonian systems · Restricted Problems · Aubry-Mather theory · Mars crossing orbits Spatial restricted rhomboidal five-body problem and horizontal stability of its periodic solutions Marcelo Marchesin, Claudio Vidal Vol. 115 pp. 261-279 DOI 10.1007/s10569-012-9462-7 Keywords: Restricted five-body problem · Rhombus central configuration · Horizontal Stability · Sitnikov problem Dust motions in quasi-statically charged binary asteroid systems JJared M. Maruskin · Julie Bellerose · MackenWong · Lara Mitchell · David Richardson · Douglas Mathews · Tri Nguyen · Usha Ganeshalingam · Gina Ma Vol. 115 pp. 281-298 DOI 10.1007/s10569-012-9465-4 Keywords: Four body problem · Binary asteroids · Levitation conditions · Dust levitation · Lofting · Charged debris · Electrostatic force The existence of transversal homoclinic orbits in a planar circular restricted four-body problem Zhikun She, Xuhua Cheng, Cuiping Li Vol. 115 pp. 299-309 DOI 10.1007/s10569-012-9460-9 Keywords: Transversal homoclinic orbits · Hamiltonian systems · Melnikov method · Non-canonical transformation · Stable manifold theorem Comparison of low-energy lunar transfer trajectories to invariant manifolds Rodney L. Anderson, Jeffrey S. Parker Vol. 115 pp. 311-331 DOI 10.1007/s10569-012-9466-3 Keywords: Lunar transfers · Invariant manifolds · Dynamical systems theory · Libration point orbits · Earth-Moon landing geometry ·Lyapunov orbits Closed solution of the Hill differential equation for short arcs and a local mass anomaly in the central body Markus Antoni, Wolfgang Keller Vol. 115 pp. 107-121 DOI 10.1007/s10569-012-9454-7 Keywords: Hill differential equation · Short arcs · Orbit deviations · Radial base function · Laplace transform Planetary orbital equations in externally-perturbed systems: position and velocity-dependent forces Dimitri Veras, N. Wyn Evans Vol. 115 pp. 123-141 DOI 10.1007/s10569-012-9455-6 Keywords: Perturbation methods · Computer methods · Planetary systems · Comets and meteors · Adiabatic approximation · Galactic tides Optimal starters for solving the elliptic Kepler.s equation M. Calvo, A. Elipe, J. I. Montijano, L. Rández Vol. 115 pp. 143-160 DOI 10.1007/s10569-012-9456-5 Keywords: Two body problem · Kepler.s equation · Optimal starter · Iterative solutions 2/1 resonant periodic orbits in three dimensional planetary systems K. I. Antoniadou, G. Voyatzis Vol. 115 pp. 161-184 DOI 10.1007/s10569-012-9457-4 Keywords: 2/1 resonance · 3D general three body problem · Periodic orbits · Vertical stability · Planetary systems · Vertical critical orbits A note on the dynamics around the Lagrange collinear points of the Earth.Moon system in a complete Solar System model Yijun Lian, Gerard Gómez, Josep J. Masdemont, Guojian Tang Vol. 115 pp. 185-211 DOI 10.1007/s10569-012-9459-2 Keywords: Collinear libration point · Quasi-periodic orbit · Fourier analysis · Multiple shooting · Solar System restricted n-body problem · Earth.Moon system Book review: Nader Haghighipour: Planets in binary star systems Tatiana A. Michtchenko Vol. 115 pp. 213-214 DOI 10.1007/s10569-012-9468-1 Spacecraft intercept using minimum control energy and wait time H. Leeghim Vol. 115 pp. 1-19 DOI 10.1007/s10569-012-9448-5 Keywords: Two-impulse rendezvous ·Minimumenergy · Lambert problem· Non-coplanar elliptical orbits · Orbit transfer On the regularizability of the big bang singularity Edward Belbruno Vol. 115 pp. 21-34 DOI 10.1007/s10569-012-9449-4 Keywords: Blow up · Collision set · Regularization · Singularity · Invariant manifold · Stable manifold theorem · Central force Analytical solutions for J 2-perturbed unbounded equatorial orbits Vladimir Martinusi, Pini Gurfil Vol. 115 pp. 35-57 DOI 10.1007/s10569-012-9450-y Keywords: Perturbed two-body problem · Zonal harmonics · Analytical methods · Unboundedorbits Analytical direct planetary perturbations on the orbital motion of satellites Julien Frouard, Tadashi Yokoyama Vol. 115 pp. 59-79 DOI 10.1007/s10569-012-9447-6 Keywords: Satellite dynamics · Planetary perturbations · Secular motion · Analytical expansion · Evection A comparison between the precession.nutation variations in right ascension referred to the CIO and the equinox Ladislav Husar Vol. 115 pp. 81-89 DOI 10.1007/s10569-012-9451-x Keywords: Celestial intermediate origin (CIO) · Equation of the origins · Right ascension variations · Celestial intermediate pole (CIP) Dynamics and control of dual-spin gyrostat spacecraft with changing structure V. S. Aslanov, V. V. Yudintsev Vol. 115 pp. 91-105 DOI 10.1007/s10569-012-9453-8 Keywords: Variable structure gyrostat spacecraft · Serret.Andoyer variables · Internal torque · Stabilization control ---------------------------------------------------------------------- 2012 Numerical study of the three-dimensional transit orbits in the circular restricted three-body problem Yuan Ren and Jinjun Shan Vol. 114, 415-428 DOI: 10.1007/s10569-012-9452-9 Keywords Circular restricted three-body problem . Transit orbits . Libration point orbits . Invariant manifolds . Zero velocity surfaces . Lyapunov orbits Bodily tides near the 1:1 spin-orbit resonance: correction to Goldreich.s dynamical model James G. Williams · Michael Efroimsky Vol. 114, 387-414 DOI 10.1007/s10569-012-9446-7 Keywords: Bodily tides · Land tides ·Moon · Libration · Spin-orbit resonance · Planetary Satellites A key-formula to compute the gravitational potential of inhomogeneous discs in cylindrical coordinates Jean-Marc Huré Vol. 114, 365-385 DOI: 10.1007/s10569-012-9445-8 Keywords Gravity . Disc . Analytical methods . Numerical methods . Elliptic integrals A graph based methodology for mission design George A. Tsirogiannis Vol. 114, 353-363 DOI: 10.1007/s10569-012-9444-9 Keywords Mission design . Periodic orbits . Circular restricted three body problem . Combinatorial optimization . Coastal arcs Dynamical capture in the Pluto.Charon system P. M. Pires dos Santos, A. Morbidelli and D. Nesvorný Vol. 114, 341-352 DOI: 10.1007/s10569-012-9442-y Keywords Planetary systems . Natural satellites . Satellites of Pluto . Encounter probability Non-integrability of the equal mass n-body problem with non-zero angular momentum Thierry Combot Vol. 114, 319-340 'DOI: 10.1007/s10569-012-9417-z Keywords Non-integrability . Homogeneous potentials . Central configurations . Differential Galois theory . n-body problem Elliptical multi-sun-synchronous orbits for Mars exploration Christian Circi, Emiliano Ortore, Federico Bunkheila and Carlo Ulivieri Vol. 114, 215-227 DOI: 10.1007/s10569-012-9432-0 Keywords Multi-sun-synchronism . Elliptical orbits . Mars exploration . Periodicity conditions . Quasi-synchronous orbits Integrable approximation of J2-perturbed relative orbits M. Lara and P. Gurfil Vol. 114, 229-254 DOI: 10.1007/s10569-012-9437-8 Keywords Satellite relative motion . Zonal harmonics . Hamiltonian dynamics . Integrability . Cid.s intermediary Asymptotic stability of synchronous orbits for a gravitating viscoelastic sphere Dario Bambusi and Emanuele Haus Vol. 114, 255-277 DOI: 10.1007/s10569-012-9438-7 Keywords Spin orbit resonance . Viscoelastic satellite . Dynamical systems . Lyapunov stability . Lagrangian mechanics . Dissipative dynamics Accurate analytical approximation of asteroid deflection with constant tangential thrust Claudio Bombardelli and Giulio Baù Vol. 114, 279-295 DOI: 10.1007/s10569-012-9440-0 Keywords Asteroid deflection . Tangential thrust . Asymptotic expansion Explicit adaptive symplectic integrators for solving Hamiltonian systems Sergio Blanes and Arieh Iserles Vol. 114, 297-317 DOI: 10.1007/s10569-012-9441-z Keywords Symplectic integrators . Adaptive time step . Hamiltonian systems . Sundman transformation . Poincaré transformation Analytic estimates and topological properties of the weak stability boundary Marta Ceccaroni, James Biggs and Luca Biasco vol. 114, 1-24- DOI: 10.1007/s10569-012-9419-x Keywords Weak stability boundary . Restricted three-body problem . Algorithmic definition Navigating to the Moon along low-energy transfers M. Vetrisano, W. Van der Weg, M. Vasile vol. 114. 25-53- DOI: 10.1007/s10569-012-9436-9 Keywords Kalman filters . Orbit determination . Navigation . Contingency . Weak Stability Boundary Transfer . High-order Taylor expansions . European Student Moon Orbiter (ESMO) . Lunar capture corridor Lunar capture trajectories and homoclinic connections through isomorphic mapping Marco Giancotti, Mauro Pontani and Paolo Teofilatto vol. 114, 55-76- DOI: 10.1007/s10569-012-9435-x Keywords Restricted three-body problem . Homoclinic connection . Permanent capture orbits . Earth.Moon transfer . Low energy transfers . Poincaré section . Lagrange points . Lyapunov orbits . Invariant manifolds . Chaos . Conley.s theorem Boundary-value problem formulations for computing invariant manifolds and connecting orbits in the circular restricted three body problem R. C. Calleja, E. J. Doedel, A. R. Humphries, A. Lemus-Rodríguez, B. E. Oldeman vol. 114, 77-106- DOI: 10.1007/s10569-012-9434-y Keywords Restricted three-body problem . Boundary value problems . Invariant manifolds . Connecting orbits . Numerical continuation . Stable and unstable manifolds Evidence-based robust design of deflection actions for near Earth objects Federico Zuiani, Massimiliano Vasile and Alison Gibbings vol. 114, 107-136- DOI: 10.1007/s10569-012-9423-1 Keywords Robust design optimisation . Evidence theory . Analytical low-thrust formulas .Perturbative expansions . Asteroid deflection . Laser ablation . NEOs Minimum fuel control of the planar circular restricted three-body problem J.-B. Caillau, B. Daoud and J. Gergaud vol. 114 , 137-150- DOI: 10.1007/s10569-012-9443-x Keywords Three-body problem - Minimum fuel control - Low-thrust - Indirect methods - Homotopy - Conjugate points Natural and sail-displaced doubly-symmetric Lagrange point orbits for polar coverage Matteo Ceriotti and Colin R. McInnes vol. 114 , 151-180- DOI: 10.1007/s10569-012-9422-2 Keywords Three-body problem . Eight-shaped orbits . Solar sailing . Polar observation . Periodic orbits . Visibility analysis . Stability Artificial equilibrium points for a generalized sail in the elliptic restricted three-body problem Generoso Aliasi, Giovanni Mengali and Alessandro A. Quarta vol. 114, 181-200- DOI: 10.1007/s10569-012-9425-z Keywords Artificial equilibrium points . Generalized sail . Elliptic restricted three-body problem . Displaced equilibrium points . Stability analysis Three-body problem, its Lagrangian points and how to exploit them using an alternative transfer to L4 and L5 F. J. T. Salazar, C. F. de Melo, E. E. N. Macau, O. C. Winter vol. 114, 201-213- DOI: 10.1007/s10569-012-9426-y Keywords Alternative transfers . Stable Lagrangian points . L4 . L5 . Three-body problem . Trajectories-G Some problems on the classical n-body problem Alain Albouy, Hildeberto E. Cabral and Alan A. Santos Volume 113, 369-375 DOI: 10.1007/s10569-012-9431-1 Keywords n body problem . Problems . Central configurations . Singularity Self-resonant bifurcations of the Sitnikov family and the appearance of 3D isolas in the restricted three-body problem E. A. Perdios and V. S. Kalantonis Volume 113, 377-386 DOI: 10.1007/s10569-012-9424-0 Keywords Periodic orbits . Sitnikov problem . Three-body problem . Three-dimensional isolas . Self-resonant orbits Interaction of free-floating planets with a star.planet pair Harry Varvoglis, Vasiliki Sgardeli and Kleomenis Tsiganis Volume 113, 387-402 DOI: 10.1007/s10569-012-9429-8 Keywords Planetary systems . Numerical methods . Planet exchange . Temporary capture Application of Hamiltonian structure-preserving control to formation flying on a J2-perturbed mean circular orbit Ming Xu, Jiamin Zhu, Tian Tan and Shijie Xu Volume 113, 403-433 DOI: 10.1007/s10569-012-9430-2 Keywords Hamiltonian structure-preserving control . Formation flying . J2-perturbed mean circular orbit . Floquet stability . Bounded quasi-periodic relative trajectories On the third-body perturbations of high-altitude orbits Martin Lara, Juan F. San-Juan, Luis M. López and Paul J. Cefola Volume 113, 435-452 DOI: 10.1007/s10569-012-9433-z Keywords Third-body perturbation . Lie transforms . Averaging . High-altitude orbits Diversity and validity of stable-unstable transitions in the algorithmic weak stability boundary Priscilla A. Sousa Silva and Maisa O. Terra Volume 113, 453-478 DOI: 10.1007/s10569-012-9418-y Keywords Weak stability boundary . Restricted three-body problem . Earth-to-moon transfers . Capture-escape transitions . Spurious transitions Periodic orbits and escapes in dynamical systems George Contopoulos, Mirella Harsoula and Georgios Lukes-Gerakopoulos Volume 113, 255-278 DOI: 10.1007/s10569-012-9412-4 Keywords Hamiltonian systems . Periodic orbits . Manko-Novikov metric Some analytical results about periodic orbits in the restricted three body problem with dissipation Alessandro Margheri, Rafael Ortega and Carlota Rebelo Volume 113, 279-290 DOI: 10.1007/s10569-012-9415-1 Keywords Restricted problem . Dissipative forces . Periodic orbits . Fredholm alternative . Hopf bifurcation . Drag Minimum energy configurations in the N-body problem and the celestial mechanics of granular systems D. J. Scheeres Volume 113, 291-320 DOI: 10.1007/s10569-012-9416-0 Keywords N-body problem . Granular mechanics . Resting configurations . Relative equilibria . Rubble-pile bodies . ull n-body problem Toroidal path filter for orbital conjunction screening Salvatore Alfano Volume 113, 321-334 DOI: 10.1007/s10569-012-9421-3 Keywords Satellite conjunction screening . Orbit path filter . Distance threshold . Satellite collision . Space debris . Test cases Periodic motions in a gravitational central field with a rotating external force Alessandro Fonda, Rodica Toader and Pedro J. Torres Volume 113, 335-342 DOI: 10.1007/s10569-012-9428-9 Keywords Periodic solutions . Two-body Kepler problem . Perturbative methods Flybys in the planar, circular, restricted, three-body problem Stefano Campagnola, Paul Skerritt and Ryan P. Russell Volume 113, 343-368 DOI: 10.1007/s10569-012-9427-x Keywords Artificial Satellites . Three-body problem . Gravity-assisted flyby . Numerical methods . Trajectory Design . Keplerian map . Jupiter moon tour . Tisserand-Poincaré graph Applicability and dynamical characterization of the associated sets of the algorithmic weak stability boundary in the lunar sphere of influence Priscilla A. Sousa Silva and Maisa O. Terra Volume 113, 141-168 DOI: 10.1007/s10569-012-9409-z Keywords Weak stability boundary . Restricted three-body problem . Earth-to-Moon transfers . Low-energy capture orbits . Stability classification . Patched three-body approach The generalized non-conservative model of a 1-planet system revisited Cezary Migaszewski Volume 113, 169-203 DOI: 10.1007/s10569-012-9413-3 Keywords Planetary system . Energy dissipation . Non-conservative systems . Lagrangian equations of the 2nd kind Geometric interpretation for the spectral stability in the charged three-body problem José E. Mansilla and Claudio Vidal Volume 113, 205-213 DOI: 10.1007/s10569-012-9405-3 Keywords Charged three-body problem . Spectral stability . Resonances Characterizing multi-planet systems with classical secular theory Christa Van Laerhoven and Richard Greenberg Volume 113, 215-234 DOI: 10.1007/s10569-012-9410-6 Keywords Planetary systems . Planets . Dissipative forces . Tides . Secular theory . 55 Cancri planets . Mutual perturbations . Long-term stability Numerical modelling of elastic space tethers K. Uldall Kristiansen, P. L. Palmer and R. M. Roberts Volume 113, 235-254 DOI: 10.1007/s10569-012-9411-5 Keywords Tethered satellites . Symplectic numerical integration . Mathematical modelling . Regularized model . Bending effects Influence of the coorbital resonance on the rotation of the Trojan satellites of Saturn P. Robutel, N. Rambaux and M. El Moutamid Volume 113, 1-22 DOI: 10.1007/s10569-012-9406-2 Keywords Rotation . Coorbitals . Libration . Secondary resonance . Saturn satellites . Hamiltonian formulation Trojan capture by terrestrial planets R. Schwarz and R. Dvorak Volume 113, 23-34 DOI: 10.1007/s10569-012-9404-4 Keywords Trojan capture . Terrestrial planets . Near Earth asteroids . 1:1 mean-motion resonance Can GJ 876 host four planets in resonance? E. Gerlach and N. Haghighipour Volume 113, 35-47 DOI: 10.1007/s10569-012-9408-0 Keywords Stability . Resonance . Hamiltonian systems . Numerical methods . Planetary systems . Laplace resonance . Gliese 876 A new analysis of the GJ581 extrasolar planetary system M. Tadeu dos Santos, G.G. Silva, S. Ferraz-Mello and T.A. Michtchenko Volume 113, 49-62 DOI: 10.1007/s10569-012-9407-1 Keywords GJ581 exoplanetary system . Orbit determination . Habitable zone . Dynamics . Biased Monte Carlo . Three-body resonances Complex statistics in Hamiltonian barred galaxy models T. Bountis, T. Manos and C. Antonopoulos Volume 113, 63-80 DOI: 10.1007/s10569-011-9392-9 Keywords Stellar systems . Hamiltonian systems . Chaotic motions . Numerical methods . Statistical methods Chaotic spiral galaxies G. Contopoulos and M. Harsoula Volume 113, 81-94 DOI: 10.1007/s10569-011-9378-7 Keywords Galaxies: structure . Galaxies: kinematics and dynamics . Spiral galaxies . Chaos in barred galaxies Stability of higher order resonances in the restricted three-body problem B. Érdi, R. Rajnai, Z. Sándor and E. Forgács-Dajka Volume 113, 95-112 DOI: 10.1007/s10569-012-9420-4 Keywords Restricted three-body problem . Inner and outer mean-motion resonances . Hill.s radius . Trans-Neptunian objects . RLI maps . Librating TNOs The rhomboidal symmetric four-body problem J. Waldvogel Volume 113, 113-123 DOI: 10.1007/s10569-012-9414-2 Keywords Symmetric four-body problem . Levi-Civita regularization . Periodic motion . Resonance . Invariant tori . Collision manifold The dynamics of the elliptic Hill problem: periodic orbits and stability regions G. Voyatzis, I. Gkolias and H. Varvoglis Volume 113, 125-139 DOI: 10.1007/s10569-011-9394-7 Keywords Satellite motion . Hill problem . Periodic Orbits . Hénon stability maps Erratum to: Existence and stability of symmetric periodic simultaneous binary collision orbits in the planar pairwise symmetric four-body problem Lennard F. Bakker, Tiancheng Ouyang, Duokui Yan and Skyler Simmons Volume 112, 459-460 DOI: 10.1007/s10569-012-9402-6 On the existence of J2 invariant relative orbits from the dynamical system point of view Ming Xu, Yue Wang and Shijie Xu Volume 112, 427-444 DOI: 10.1007/s10569-012-9401-7 Keywords Formation flying . J2 Invariant relative orbit . Routh reduction . Pseudo-circular/elliptical orbit . Dynamical system . Poincaré mapping A new approach to impulsive rendezvous near circular orbit Thomas Carter and Mayer Humi Volume 112, 385-426 DOI: 10.1007/s10569-012-9399-x Keywords Optimal rendezvous . Space vehicles . Primer vector analysis . Impulsive problems Disturbance compensating control of orbit radially aligned two-craft Coulomb formation Ravi Inampudi and Hanspeter Schaub Volume 112, 445-458 DOI 10.1007/s10569-012-9403-5 Keywords Coulomb structure · Circular orbits · Libration points · Differential solar perturbation · Lyapunov feedback control Behavior of nearby synchronous rotations of a Poincaré.Hough satellite at low eccentricity Benoît Noyelles Volume 112, 353-383 DOI: 10.1007/s10569-012-9398-y Keywords Natural satellites . Rotation . Periodic orbits . Hamiltonian systems . Numerical methods Disintegration process of hierarchical triple systems. I. Small-mass planet orbiting equal-mass binary M. M. Saito, K. Tanikawa and V. V. Orlov Volume 112, 235-251 DOI: 10.1007/s10569-011-9395-6 Keywords Hierarchical stability . Triple system . Random walk model . KAM stability . Hill-type stability . Escape Unified State Model theory and application in Astrodynamics V. Vittaldev, E. Mooij and M. C. Naeije Volume 112, 253-282 DOI: 10.1007/s10569-011-9396-5 Keywords Unified State Model . Quaternion . Modified Rodrigues parameters . Orbit propagation . Exponential map . Hodograph Bodily tides near spin.orbit resonances Michael Efroimsky Volume 112, 283-330 DOI: 10.1007/s10569-011-9397-4 Keywords Bodily tides . Body tides . Land tides . Librations . Exoplanets . Satellites . Spin.orbit resonances . Tidal torques . Phobos . Mercury High-order expansion of the solution of preliminary orbit determination problem Roberto Armellin, Pierluigi Di Lizia and Michele Lavagna Volume 112, 331-352 DOI: 10.1007/s10569-012-9400-8 Keywords Preliminary orbit determination . Differential algebra . Uncertainty mapping . High-order methods . Near-Earth asteroids Constraints on the location of a putative distant massive body in the Solar System from recent planetary data Lorenzo Iorio Volume 112, 117-130 DOI: 10.1007/s10569-011-9386-7 Keywords Planets . Planet X . Solar System perturbations Linear stability and shape analysis of spinning three-craft Coulomb formations Erik A. Hogan and Hanspeter Schaub Volume 112, 131-148 DOI: 10.1007/s10569-011-9387-6 Keywords Coulomb formations . Formation flying . Charged three-body problem Non-integrability of first order resonances in Hamiltonian systems in three degrees of freedom Ognyan Christov Volume 112, 149-167 DOI: 10.1007/s10569-011-9389-4 Keywords Resonance . Non-integrability . Morales.Ramis theory The two-body problem of a pseudo-rigid body and a rigid sphere K. Uldall Kristiansen, M. Vereshchagin, K. Gozdziewski, P. L. Palmer and R. M. Roberts Volume 112, 169-190 DOI: 10.1007/s10569-011-9390-y Keywords Full two-body problem . Symmetry reduction . Pseudo-rigid/affine bodies . Riemann theorem Low-thrust propulsion in a coplanar circular restricted four body problem Marta Ceccaroni and James Biggs Volume 112, 191-219 DOI: 10.1007/s10569-011-9391-x Keywords Restricted problems . Stability . Periodic orbits . Sun-Jupiter-asteroid-spacecraft system Numerical integration of dynamical systems with Lie series. Relativistic acceleration and non-gravitational forces D. Bancelin, D. Hestroffer and W. Thuillot Volume 112, 221-234 DOI: 10.1007/s10569-011-9393-8 Keywords Numerical integration . Lie series . General relativity . Yarkovsky effect Optimal low-thrust transfers between libration point orbits Yuan Ren, Pierpaolo Pergola, Elena Fantino and Bianca Thiere Volume 112, 1-21 DOI: 10.1007/s10569-011-9382-y Keywords Circular restricted three-body problem . Bicircular four-body model . Low-thrust . Invariant tori . Invariant Manifold . Continuation procedure Influence of fast interstellar gas flow on the dynamics of dust grains P. Pástor Volume 112, 23-45 DOI: 10.1007/s10569-011-9379-6 Keywords Interstellar medium . Dust particles . Long-term evolution Multiple Poincaré sections method for finding the quasiperiodic orbits of the restricted three body problem Egemen Kolemen, N. Jeremy Kasdin and Pini Gurfil Volume 112, 47-74 DOI: 10.1007/s10569-011-9383-x Keywords Quasiperiodic orbit . Quasi-halo . Lissajous orbit . Restricted three-body problem . Poincaré section Detection by MEGNO of the gravitational resonances between a rotating ellipsoid and a point mass satellite A. Compère, A. Lemaître and N. Delsate Volume 112, 75-98 DOI: 10.1007/s10569-011-9384-9 Keywords Gravitational resonance . MEGNO . Satellite of asteroid . Binary asteroid . 1:1 Resonance . Synchronous case The kinematical mechanism for the perturbation of the rotational axis in the rotation of the elastic Earth Yoshio Kubo Volume 112, 99-106 DOI: 10.1007/s10569-011-9385-8 Keywords Earth rotation . Elastic Earth . Rotational axis . Convective term . Oppolzer terms A three dimensional investigation of two dimensional orbits D. D. Carpintero and J. C. Muzzio Volume 112, 107-115 DOI: 10.1007/s10569-011-9388-5 Keywords Chaotic motions . Stellar systems . Stability . Partially chaotic orbits . Logarithmic potential -------------------------------------------------------- 2011 Solutions and periodicity of satellite relative motion under even zonal harmonics perturbations Vladimir Martinusi and Pini Gurfil Volume 111, 387-414 DOI: 10.1007/s10569-011-9376-9 Keywords Satellite relative motion . Zonal harmonics . Satellite formation flying . Cluster flight . elliptic integrals Three-dimensional time optimal double angular momentum reversal trajectory using solar sails Xiangyuan Zeng, Hexi Baoyin, Junfeng Li and Shengping Gong Volume 111, 415-430 DOI: 10.1007/s10569-011-9370-2 Keywords Solar sail . Double angular momentum reversal . Time-optimal control . Solar inverse orbit Dynamics of a particle under the gravitational potential of a massive annulus: properties and equilibrium description Eva Tresaco, Antonio Elipe and Andrés Riaguas Volume 111, 431-447 DOI: 10.1007/s10569-011-9371-1 Keywords Potential theory . Annular disk . Solid disk . Composition of annuli High order normal form construction near the elliptic orbit of the Sitnikov problem Sara Di Ruzza and Christoph Lhotka Volume 111, 449-464 DOI: 10.1007/s10569-011-9380-0 Keywords Sitnikov problem . Normal form . Birkhoff coordinates . Exponential stability . Perturbation theory . Lie.series expansions Global geometry of non-planar 3-body motions Mahdi Khajeh Salehani Volume 111, 465-479 DOI: 10.1007/s10569-011-9381-z Keywords Three-body problem . Kinematic geometry . Non-holonomic mechanical systems . Generalized Euler-Lagrange equations . Constant inclination solutions A comparison of different indicators of chaos based on the deviation vectors: application to symplectic mappings N. P. Maffione, L. A. Darriba, P. M. Cincotta and C. M. Giordano Volume 111, 285-307, DOI: 10.1007/s10569-011-9373-z Keywords Chaos indicators . Mappings . Dynamical systems . Chaos . MEGNO . SALI . FLI . RLI . Sticky chaotic orbits A multiresolution model for small-body gravity estimation Brandon A. Jones, Gregory Beylkin, George H. Born and Robert S. Provence Volume 111, 309-335 DOI: 10.1007/s10569-011-9374-y Keywords Gravity modeling . Spherical harmonics . Gravity estimation . Quadratures for the sphere . Multiresolution representations . Asteroid Eros A semi-analytic algorithm for constructing lower dimensional elliptic tori in planetary systems Marco Sansottera, Ugo Locatelli and Antonio Giorgilli Volume 111, 337-361 DOI: 10.1007/s10569-011-9375-x Keywords KAM theory . Lower dimensional invariant tori . Normal form methods . n-body planetary problem . Hamiltonian systems . Celestial Mechanics The INPOP10a planetary ephemeris and its applications in fundamental physics A. Fienga, J. Laskar, P. Kuchynka, H. Manche, G. Desvignes, M. Gastineau, I. Cognard and G. Theureau Volume 111, 363-385 DOI: 10.1007/s10569-011-9377-8 Keywords Planetary ephemerides . Celestial Mechanics . Fundamental physics . Asteroid masses Debris disk size distributions: steady state collisional evolution with Poynting-Robertson drag and other loss processes M. C. Wyatt, C. J. Clarke and M. Booth Volume 111, 1-28 DOI: 10.1007/s10569-011-9345-3 Keywords Circumstellar matter . Planetary systems . Debris disks . Collisional cascade . Mass loss rate . Size distribution modeling Against all odds? Forming the planet of the HD 196885 binary P. Thebault Volume 111, 29-49 DOI: 10.1007/s10569-011-9346-2 Keywords Planetary systems . Binary stars . HD 196885 . Planet formation scenario . Planetesimal accretion Close encounters of a rotating star with planets in parabolic orbits of varying inclination and the formation of hot Jupiters P. B. Ivanov and J. C. B. Papaloizou Volume 111, 51-82 DOI: 10.1007/s10569-011-9367-x Keywords Tidal interactions . Dynamic tides . Rotating stars . Planet formation and evolution Tidal interactions in multi-planet systems J. C. B. Papaloizou Volume 111, 83-103 DOI: 10.1007/s10569-011-9344-4 Keywords Planet formation . Planetary systems . Resonances . Tidal interactions . Circularization . GJ 581 . HD 10180 Tidal evolution of hierarchical and inclined systems Alexandre C. M. Correia, Jacques Laskar, François Farago and Gwenaël Boué Volume 111, 105-130 DOI: 10.1007/s10569-011-9368-9 Keywords Restricted problems . Extended body . Dissipative forces . Planetary systems . Rotation . HD 11964 . HD 80606 . HD 98800 On type-I migration near opacity transitions. A generalized Lindblad torque formula for planetary population synthesis Frédéric S. Masset Volume 111, 131-160 DOI: 10.1007/s10569-011-9364-0 Keywords Planets and satellites . Disk interactions . Planetary systems . Formation . Hydrodynamics . Corotation torque Angular momentum exchange during secular migration of two-planet systems Adrián Rodríguez, Tatiana A. Michtchenko and Octavio Miloni Volume 111, 161-178 DOI: 10.1007/s10569-011-9359-x Keywords Secular evolution . Migration . Dissipation laws . Tidal force . Drag force The 1/1 resonance in extrasolar systems. Migration from planetary to satellite orbits John D. Hadjidemetriou and George Voyatzis Volume 111, 179-199 DOI: 10.1007/s10569-011-9341-7 Keywords 1/1 Resonance . Periodic orbits . Co-orbital planets . Planetary migration . Exoplanets Trapping in three-planet resonances during gas-driven migration Anne-Sophie Libert and Kleomenis Tsiganis Volume 111, 201-218 DOI: 10.1007/s10569-011-9372-0 Keywords Formation of planetary systems . Resonance capture . n-Body problem . Planet-disc interactions . Planet migration . Laplace resonance Onset of secular chaos in planetary systems: period doubling and strange attractors Konstantin Batygin and Alessandro Morbidelli Volume 111, 219-233 DOI: 10.1007/s10569-011-9361-3 Keywords Chaotic motions . Hamiltonian systems . Periodic orbits . Dissipative forces . Planetary systems . Perturbation methods . Resonance overlap . Secular dynamics . Chaotic diffusion Orbital structure of the GJ876 extrasolar planetary system based on the latest Keck and HARPS radial velocity data Roman V. Baluev Volume 111, 235-266 DOI: 10.1007/s10569-011-9356-0 Keywords Extrasolar planets . Radial velocity . Red noise . Mean-motion resonance . GJ876 On the detection of (habitable) super-Earths around low-mass stars using Kepler and transit timing variation method Nader Haghighipour and Sabrina Kirste Volume 111, 267-284 DOI: 10.1007/s10569-011-9363-1 Keywords Planetary systems: Detection . Detection techniques . Methods: Numerical simulations . TTV . Resonant orbits George Krasinsky 1939.2011 E. V. Pitjeva Volume 110, 291-292 DOI: 10.1007/s10569-011-9348-0 The IAU 2009 system of astronomical constants: the report of the IAU working group on numerical standards for Fundamental Astronomy Brian Luzum, Nicole Capitaine, Agnès Fienga, William Folkner, Toshio Fukushima, James Hilton, Catherine Hohenkerk, George Krasinsky, Gérard Petit, Elena Pitjeva, Michael Soffel, Patrick Wallace Volume 110, 293-304 DOI: 10.1007/s10569-011-9352-4 Keywords Numerical standards . Fundamental Astronomy . Fundamental constants Optimal two-impulse rendezvous using constrained multiple-revolution Lambert solutions Gang Zhang, Di Zhou and Daniele Mortari Volume 110, 305-317 DOI: 10.1007/s10569-011-9349-z Keywords Lambert.s problem . Multiple revolution . Two-impulse rendezvous . Non-coplanar elliptical orbits . Coasting arcs Symplectic adaptive algorithm for solving nonlinear two-point boundary value problems in Astrodynamics H. J. Peng, Q. Gao, Z. G. Wu and W. X. Zhong Volume 110, 319-342 DOI: 10.1007/s10569-011-9360-4 Keywords Nonlinear optimal control . Two-point boundary value problem . Dual variational principle . Adaptive symplectic algorithm . Astrodynamics . Halo orbits Artificial equilibrium points for a generalized sail in the circular restricted three-body problem Generoso Aliasi, Giovanni Mengali and Alessandro A. Quarta Volume 110, 343-368 DOI: 10.1007/s10569-011-9366-y Keywords Artificial Lagrangian equilibrium points . Radial propulsive acceleration . Generalized sail . Displaced points . Stability Nonlinear methods of statistic simulation of virtual parameter values for investigating uncertainties in orbits determined from observations Victor A. Avdyushev Volume 110, 369-388 DOI: 10.1007/s10569-011-9365-z Keywords Statistical methods . Inverse problems . Numerical integration . Orbital motion . Confidence region . Jupiter satellites A numerical study of the stabilization effect of steepness Nata.a Todorovic, Massimiliano Guzzo, Elena Lega and Claude Froeschlé Volume 110, 389-398 DOI: 10.1007/s10569-011-9369-8 Keywords Nekhoroshev theorem . Steepness . Diffusion . Hamiltonian systems . Symplectic maps Alessandra Celletti: Stability and Chaos in Celestial Mechanics Springer-Praxis books in Astronomy and Planetary Sciences, Springer, 2009, 261 pp, ISBN 3540851453 (Book Review) Alice Quillen Volume 110, 399-400 DOI: 10.1007/s10569-011-9355-1 Erratum to: Reports of the IAU Working Group on Cartographic Coordinates and Rotational Elements: 2006 & 2009 B. A. Archinal, M. F. A.Hearn, A. Conrad, G. J. Consolmagno, R. Courtin, T. Fukushima, D. Hestroffer, J. L. Hilton, G. A. Krasinsky, G. Neumann, J. Oberst, P.K. Seidelmann, P. Stooke, D.J. Tholen, P.C. Thomas, I.P. Williams Volume 110, 401-403 DOI: 10.1007/s10569-011-9362-2 Keywords Cartographic coordinates . Rotation axes . Rotation periods . Rotation angles . Pluto . Charon . Ida The eleventh motion constant of the two-body problem Andrew J. Sinclair and John E. Hurtado Volume 110, 189-198 DOI: 10.1007/s10569-011-9350-6 Keywords Two-body problem . Motion constants . Boundary-value problems Displaced non-Keplerian orbits using impulsive thrust Colin R. McInnes Volume 110, 199-215 DOI: 10.1007/s10569-011-9351-5 Keywords Non-Keplerian orbits . Circular restricted three-body problem . Artificial equilibria . Artificial satellites . Displaced orbits Global bifurcation of planar and spatial periodic solutions in the restricted n-body problem C. García-Azpeitia and J. Ize Volume 110, 217-237 DOI: 10.1007/s10569-011-9354-2 Keywords Global bifurcation . Orthogonal degree . Restricted n-body problem . Ring configuration . Restricted three-body problem Asymptotic solution for the two-body problem with constant tangential thrust acceleration Claudio Bombardelli, Giulio Baù and Jesus Peláez Volume 110, 239-256 DOI: 10.1007/s10569-011-9353-3 Keywords Two body problem . Tangential thrust . Asymptotic expansion . Orbit transfer Orbit determination with the two-body integrals. II G. F. Gronchi, D. Farnocchia and L. Dimare Volume 110, 257-270 DOI: 10.1007/s10569-011-9357-z Keywords Orbit determination . Kepler problem . Polynomial equations . Laplace.Lenz vector . Linkage . Attributables Existence and stability of symmetric periodic simultaneous binary collision orbits in the planar pairwise symmetric four-body problem Lennard F. Bakker, Tiancheng Ouyang, Duokui Yan and Skyler Simmons Volume 110, 271-290 DOI: 10.1007/s10569-011-9358-y Keywords N-body problem . Regularization . Periodic orbits . Stability . Simultaneous binary collision Corrections stemming from the non-osculating character of the Andoyer variables used in the description of rotation of the elastic Earth Alberto Escapa Volume 110, 99-142 DOI: 10.1007/s10569-011-9339-1 Keywords Rotation of Celestial bodies . Elastic Earth rotation . Andoyer variables . Attitude dynamics . Non-osculation . Canonical perturbation theory Kinematical modeling of the Earth rotation, focusing on the Oppolzer terms in a rigid Earth and the Oppolzer-like terms in an elastic Earth Yoshio Kubo Volume 110, 143-168 DOI: 10.1007/s10569-011-9347-1 Keywords Earth rotation . Precession and nutation . Rigid Earth . Elastic Earth . Angular momentum axis . Figure axis . Rotational axis . Oppolzer terms . Poisson terms . Convective terms Earth.Mars transfers with ballistic escape and low-thrust capture G. Mingotti, F. Topputo and F. Bernelli-Zazzera Volume 110, 169-188 DOI: 10.1007/s10569-011-9343-5 Keywords Restricted three-body problem . Invariant manifolds . Low-thrust transfer . n-body models . Ballistic capture . Lunar-gravity assist Rotational modeling of Hyperion Rebecca A. Harbison, Peter C. Thomas and Philip C. Nicholson Volume 110, 1-16 DOI: 10.1007/s10569-011-9337-3 Keywords Chaotic motions . Extended body dynamics . Natural satellites . Satellite rotation . Hyperion principal axes Non-integrability of the three-body problem Andrzej J. Maciejewski and Maria Przybylska Volume 110, 17-30 DOI: 10.1007/s10569-010-9333-z Keywords Integrability . Non-integrability criteria . Monodromy group . Differential Galois group . Hypergeometric equation . Hamiltonian equations . Three-body problem Orbital maneuver optimization using time-explicit power series James D. Thorne Volume 110, 31-42 DOI: 10.1007/s10569-011-9336-4 Keywords Orbital maneuver optimization . Lambert problem . Orbital mission planning . Thorne series solution of Lambert problem New stacked central configurations for the planar 5-body problem Jaume Llibre, Luis Fernando Mello and Ernesto Perez-Chavela Volume 110, 43-52 DOI: 10.1007/s10569-011-9342-6 Keywords Planar central configurations . n-body problem . Stacked central configurations . 5-body problem Families of symmetric relative periodic orbits originating from the circular Euler solution in the isosceles three-body problem Mitsuru Shibayama and Kazuyuki Yagasaki Volume 110, 53-70 DOI: 10.1007/s10569-011-9338-2 Keywords Three-body problem . Relative periodic orbit . Symmetric periodic orbit . Bifurcation . Euler solution On quasi-periodic motions around the collinear libration points in the real Earth.Moon system X. Y. Hou and L. Liu Volume 110, 71-98 DOI: 10.1007/s10569-011-9340-8 Keywords Earth.Moon system . Collinear libration point . Dynamical substitute . Lissajous orbit . Halo orbit . Quasi-periodic orbits Finiteness of spatial central configurations in the five-body problem Marshall Hampton and Anders Jensen Volume 109, 321-332 DOI: 10.1007/s10569-010-9328-9 Keywords Central configurations . n-Body problem . Tropical geometry . Polyhedral fan . Albouy.Chenciner equations Complete closed-form solutions of the Stark problem Gregory Lantoine and Ryan P. Russell Volume 109, 333-366 DOI: 10.1007/s10569-010-9331-1 Keywords Stark problem . Kepler problem . Perturbation . Integrability . Analytical solution . Low-thrust On the circular Sitnikov problem: the alternation of stability and instability in the family of vertical motions Vladislav V. Sidorenko Volume 109, 367-384 DOI: 10.1007/s10569-010-9332-0 Keywords Sitnikov problem . Periodic motions . Stability analysis On constructing the general Earth.s rotation theory V. A. Brumberg and T. V. Ivanova Volume 109, 385-408 DOI: 10.1007/s10569-011-9334-6 Keywords Earth.s rotation theory . Euler parameters . Secular system . General planetary theory Solution algorithm of a quasi-Lambert.s problem with fixed flight-direction angle constraint Qinqin Luo, Zhanfeng Meng and Chao Han Volume 109, 409-427 DOI: 10.1007/s10569-011-9335-5 Keywords Two-point boundary value problem . Quasi-Lambert.s problem . Flight-direction angle . Universal Variable . Iteration algorithm Refinement of Near Earth Asteroids. orbital elements via simultaneous measurements by two observers Siegfried Eggl Volume 109,- 211-228, DOI: 10.1007/s10569-010-9323-1 Keywords Orbit determination . Orbit refinement . Near Earth Asteroids (NEAs) . Orbital elements . Triangulation . Very short arc observations . Space observations Periodic solutions with alternating singularities in the collinear four-body problem Tiancheng Ouyang and Duokui Yan Volume 109,- 229-239, DOI: 10.1007/s10569-010-9325-z Keywords Celestial mechanics . Four-body problem . Binary collision . Simultaneous binary collision . Periodic solution with singularity Optimal transfers between unstable periodic orbits using invariant manifolds Kathryn E. Davis, Rodney L. Anderson, Daniel J. Scheeres and George H. Born Volume 109,- 241-264, DOI: 10.1007/s10569-010-9327-x Keywords Three-body problem . Unstable periodic orbits . Invariant manifolds . Dynamical systems theory . Transfer trajectories . Primer vector theory . Libration point orbits Some results on the global dynamics of the regularized restricted three-body problem with dissipation Alessandra Celletti, Letizia Stefanelli, Elena Lega and Claude Froeschlé Volume 109,- 265-284, DOI: 10.1007/s10569-010-9326-y Keywords Three-body problem . Dissipative effects . Regularization theory . Poynting.Robertson effect . Stokes drag Deprit.s reduction of the nodes revisited Luigi Chierchia and Gabriella Pinzari Volume 109,- 285-301, DOI: 10.1007/s10569-010-9329-8 Keywords Symplectic coordinates . Action-angle variables . Deprit reduction of the nodes . N-body problem . Planetary system Analytical investigations of quasi-circular frozen orbits in the Martian gravity field Xiaodong Liu, Hexi Baoyin and Xingrui Ma Volume 109,- 303-320, DOI: 10.1007/s10569-010-9330-2 Keywords Mars . Frozen orbits . Lagrangian formulations . Stability . Lie transforms . Hamiltonian systems Report of the IAU Working Group on Cartographic Coordinates and Rotational Elements: 2009 B. A. Archinal · M. F. A.Hearn · E. Bowell · A. Conrad · G. J. Consolmagno · R. Courtin · T. Fukushima · D. Hestroffer · J. L. Hilton · G. A. Krasinsky · G. Neumann · J. Oberst · P. K. Seidelmann · P. Stooke · D. J. Tholen · P. C. Thomas · I. P. Williams Vol.109 101-135 DOI: 10.1007/s10569-010-9320-4 Keywords Cartographic coordinates . Longitude . Latitude . Rotation axes . Rotation periods . Sizes . Shapes . Planets . Satellites . Dwarf planets . Minor planets . Comets Analytical solutions to a quasilinear differential equation related to the Lane.Emden equation of the second kind Robert A. Van Gorder Vol.109 137-145 DOI: 10.1007/s10569-010-9318-y Keywords Lane.Emden equation of the second kind . Bonnor.Ebert gas spheres . Perturbation method . d-expansion method . Quasilinear differential equation Analytical results for solar sail optimal missions with modulated radial thrust Alessandro A. Quarta and Giovanni Mengali Vol.109 147-166 DOI: 10.1007/s10569-010-9319-x Keywords Solar sail . Radial thrust . Optimal trajectories Initial orbit determination using multiple observations Reza Raymond Karimi and Daniele Mortari Vol.109 167-180 DOI: 10.1007/s10569-010-9321-3 Keywords Initial orbit determination . Multiple observations . Lagrange coefficients . Tracking LEO satellites A minimal dynamical model for tidal synchronization and orbit circularization József Vanyó, Bruno Escribano, Julyan H. E. Cartwright, Diego L. González and Oreste Piro and Tamás Tél Vol.109 181-200 DOI: 10.1007/s10569-010-9322-2 Keywords Tidal friction . Tidal locking . Resonance . Transient attractor . Spin.orbit coupling . Quasi-attractor Stability of planetary systems with respect to masses Konstantin V. Kholshevnikov and Eduard D. Kuznetsov Vol.109 201-210 DOI: 10.1007/s10569-010-9324-0 Keywords Stability in the sense of Lagrange . Close approaches . Escape . Osculating and mean elements . Method of averaging . Sun-Jupiter-Saturn system . 47 UMa planets Non-integrability of Hénon-Heiles system Wenlei Li and Shaoyun Shi Vol.109 1-12 DOI: 10.1007/s10569-010-9315-1 Keywords Non-integrability . Hénon-Heiles system . Morales-Ramis theory . Lamé equation . Higher order variational equations On the stability of artificial equilibrium points in the circular restricted three-body problem Claudio Bombardelli and Jesus Peláez Vol.109 - 13-26 DOI: 10.1007/s10569-010-9317-z Keywords Three-body problem . Artficial equilibrium points . Stability . Solar sails On the central configurations of the planar 1 + 3 body problem Montserrat Corbera, Josep Maria Cors and Jaume Llibre Vol.109 27-43 DOI: 10.1007/s10569-010-9316-0 Keywords 1 + 3 body problem . Central configurations . Coorbital satellites Ballistic representation for kinematic access Salvatore Alfano Vol.109 - 45-58 DOI: 10.1007/s10569-010-9312-4 Keywords Anti-satellite . Kinetic kill . Vulnerability . Collision . Ballistic missile . ASAT . KKV . Intercept trajectories . Space situational awareness . SOLARA . Kinematic access Multiple-satellite-aided capture trajectories at Jupiter using the Laplace resonance Alfred E. Lynam, Kevin W. Kloster and James M. Longuski Vol.109 - 59-84 DOI: 10.1007/s10569-010-9307-1 Keywords Astrodynamics . Mission design . Gravity assist . Laplace resonance . Satellite-aided capture . Jupiter system . Jupiter orbit insertion (JOI) The Moon.s physical librations and determination of their free modes N. Rambaux and J. G. Williams Vol.109 - 85-100 DOI: 10.1007/s10569-010-9314-2 Keywords Moon . Physical librations . Spin-orbit synchronous resonance -------------------------------------------------------- 2010 Parametric excitation of a gravity-gradient stabilized spacecraft roll-yaw attitude motion induced by solar pressure torque Noboru Takeichi vol. 108 405-416 DOI 10.1007/s10569-010-9311-5 Keywords Spacecraft · Parametric excitation · Resonance · Solar pressure torque · Gravity gradient torque Effect of 3rd-degree gravity harmonics and Earth perturbations on lunar artificial satellite orbits S. Tzirti · K. Tsiganis · H. Varvoglis vol. 108 389-404 DOI 10.1007/s10569-010-9313-3 Keywords Lunar artificial satellites · 3rd-degree gravity coefficients · 3rd-body effect - Frozen satellite orbits · Periodic Orbits · Critical inclination Some orbital characteristics of lunar artificial satellites J.P.S.Carvalho · R. Vilhena de Moraes · A.F.B.A.Prado vol. 108 371-388 DOI 10.1007/s10569-010-9310-6 Keywords Lunar artificial satellite · Frozen orbits · Orbital perturbations ·Critical inclination Stable and unstable orbits around Mercury Zoltán Makó · Ferenc Szenkovits · Júlia Salamon · Robert Oláh-Gál vol. 108 357-370 DOI 10.1007/s10569-010-9309-z Keywords Weak stability boundary · Weak capture · Spatial elliptic restricted three-body problem Precise computation of acceleration due to uniform ring or disk Toshio Fukushima vol. 108 339-356 DOI: 10.1007/s10569-010-9304-4 Keywords Complete elliptic integrals - Attraction of a ring - Attraction of a disk Tidal evolution of close binary asteroid systems Patrick A. Taylor and Jean-Luc Margot vol. 108 315-338 DOI: 10.1007/s10569-010-9308-0 Keywords Gravity - Extended body dynamics - Tides - Asteroids - Binary asteroids Spacecraft trajectories to the L3 point of the Sun.Earth three-body problem Marco Tantardini, Elena Fantino, Yuan Ren, Pierpaolo Pergola and Gerard Gómez, et al. vol. 108 215-232 DOI: 10.1007/s10569-010-9299-x Keywords Invariant manifolds - Multi-round homoclinic orbits - Restricted three-body problem - Symmetric homoclinic orbits - Homoclinic connection to L3 Collision criterion for two satellites on Keplerian orbits Dan Xue and Junfeng Li vol. 108 233-244 DOI: 10.1007/s10569-010-9302-6 Keywords Keplerian orbit - Orbit intersection - Satellite collision Celestial reference frames and the gauge freedom in the post-Newtonian mechanics of the Earth.Moon system Sergei Kopeikin and Yi Xie vol. 108 245-263 DOI: 10.1007/s10569-010-9303-5 Keywords Gravitation - Relativity - Gauge invariance - Post-Newtonian three-body problem - Lunar ephemerides - Lunar laser ranging - Einstein.Infeld.Hoffmann (EIH) Distance in the space of energetically bounded Keplerian orbits Jared M. Maruskin vol. 108 265-274 DOI: 10.1007/s10569-010-9300-8 Keywords Topological space - Metric space - Space of Keplerian orbits - Riemannian manifolds - Geodesic distance Frozen orbits at high eccentricity and inclination: application to Mercury orbiter N. Delsate, P. Robutel, A. Lemaître and T. Carletti vol. 108 275-300 DOI: 10.1007/s10569-010-9306-2 Keywords Planetary probes - Stability - Long-term evolution - Kozai resonances - Frozen orbit equilibria - Lidov-Kozai effect - BepiColombo On quasi-periodic motions around the triangular libration points of the real Earth.Moon system X. Y. Hou and L. Liu vol. 108 301-313 DOI: 10.1007/s10569-010-9305-3 Keywords Earth.Moon - Triangular libration point - Dynamical substitute - Quasi-periodic orbits A fast, accurate, and smooth planetary ephemeris retrieval system Nitin Arora and Ryan P. Russell vol. 108 107-124 #9296-0 Keywords Ephemeris generation - FIRE - SPICE - Time derivatives Lagrange.s planetary equations for the motion of electrostatically charged spacecraft Joseph W. Gangestad, George E. Pollock and James M. Longuski vol. 108 125-145 #9297-z Keywords Lorentz force - Artificial satellite - Lagrange.s planetary equations - Planetary escape - Lorentz spacecraft Linear stability for some symmetric periodic simultaneous binary collision orbits in the four-body problem Lennard F. Bakker, Tiancheng Ouyang, Duokui Yan, Skyler Simmons and Gareth E. Roberts vol. 108 147-164 #9298-y Keywords N-body problem - Singular periodic orbits - Stability - Schubart-like orbit - Roberts. method A fast tour design method using non-tangent v-infinity leveraging transfer Stefano Campagnola, Nathan J. Strange and Ryan P. Russell vol. 108 165-186 #9295-1 Keywords N-body - Resonance - Enceladus orbiter - VILT - Gravity assists - Artificial satellites Infinite Feigenbaum sequences and spirals in the vicinity of the Lagrangian periodic solutions Antonis D. Pinotsis vol. 108 187-202 #9294-2 Keywords Restricted three-body problem - Chaos - Lagrange points L4, L5 - Feigenbaum sequences Indirect transfer to the Earth.Moon L1 libration point Mingtao Li and Jianhua Zheng vol. 108 203-213 #9301-7 Keywords Libration point - Transfer trajectory - Stable manifolds - Lunar flyby - Lunar exploration Mission design through averaging of perturbed Keplerian systems: the paradigm of an Enceladus orbiter Martín Lara, Jesús F. Palacián & Ryan P. Russell vol. 108 1 - 22 #9286-2 Keywords Restricted problems - Hill.s problem - Periodic orbits - Stability - Artificial satellites - Perturbation methods - Frozen orbits - Satellite orbiter Hoag.s object, remnant of a vanished bar? Tarsh Freeman, Sethanne Howard & Gene G. Byrd vol. 108 23 - 34 #9289-z Keywords Ring galaxies - Structure - Hoag.s Object Chirikov diffusion in the asteroidal three-body resonance (5, -2, -2) F. Cachucho, P. M. Cincotta & S. Ferraz-Mello vol. 108 35 - 58 # 9290-6 Keywords Chaotic motion - Chirikov theory - Asteroidal belt - Nesvorný-Morbidelli model - Three-body resonances - Chaotic diffusion rate - Hadjidemetriou.s symplectic mapping Sequential solution to Kepler.s equation Jeremy J. Davis, Daniele Mortari & Christian Bruccoleri vol. 108 59 - 72 # 9292-4 Keywords Kepler equation - Orbit propagation Central configurations for the planar Newtonian four-body problem E. Piña & P. Lonngi vol. 108 73 - 93 # 9291-5 Keywords Newtonian four-body problem - Central configurations - Dziobek.s approach On a Fortran procedure for rotating spherical-harmonic coefficients R. H. Gooding & C. A. Wagner vol. 108 95 - 106 DOI 10.1007/s10569-010-9293-3 Keywords Rotation Matrices - Inclination functions - Rotation of spherical harmonics - Risbo.s approach Non-Schubart periodic orbits in the rectilinear three-body problem Masaya Masayoshi Saito and Kiyotaka Tanikawa vol. 107 397-407 # 9278-2 Keywords Chaos - Periodic orbits - Symbolic dynamics - Three-body problem - Triple collision Lissajous trajectories for lunar global positioning and communication systems Daniele Romagnoli and Christian Circi vol. 107 409-425 # 9279-1 Keywords Lissajous trajectories - Lagrange point - Lunar constellation - Lunar GPS - Visibility analysis Chaotic quasi-collision trajectories in the 3-centre problem Linda Dimare vol. 107 427-449 # 9284-4 Keywords 3-centre problem - Regularisation - Collisions - Chaotic motion Asteroid close encounters characterization using differential algebra: the case of Apophis R. Armellin, P. Di Lizia, F. Bernelli-Zazzera and M. Berz vol. 107 451-470 # 9283-5 Keywords Uncertainties propagation - Monte Carlo simulation - Apophis close encounter - Differential algebra The use of invariant manifolds for transfers between unstable periodic orbits of different energies Kathryn E. Davis, Rodney L. Anderson, Daniel J. Scheeres and George H. Born vol. 107 471-485 # 9285-3 Keywords Circular restricted three-body problem - Unstable periodic orbits - Invariant manifolds - Dynamical systems theory - Transfer trajectories - Libration point orbits Orbital stability of systems of closely-spaced planets, II: configurations with coorbital planets Andrew W. Smith and Jack J. Lissauer vol. 107 487-500 # 9288-0 Keywords Stability - Planetary systems - Coorbital planets Orbit determination with the two-body integrals G. F. Gronchi, L. Dimare and A. Milani vol. 107 299-318 # 9271-9 Keywords Orbit determination - Algebraic methods - Attributables - Linkage - Covariance matrix A second-order solution to the two-point boundary value problem for rendezvous in eccentric orbits Gang Zhang and Di Zhou vol. 107 319-336 # 9269-3 Keywords Relative motion - State transition - Eccentric orbit - J2 perturbations - Rendezvous Some ring-shaped potentials as a generalized 4-D isotropic oscillator. Periodic orbits Eva Tresaco and Sebastián Ferrer vol. 107 337-352 # 9258-6 Keywords 4-D isotropic oscillators - Generalized Hartmann potential - Ring-shaped systems - Pöschl-Teller potential - Superintegrability Inverse problem of central configurations and singular curve in the collinear 4-body problem Zhifu Xie vol. 107 353-376 # 9280-8 Keywords Central configuration - Super central configuration - N-body problem - Singular curve - Relative equilibrium - Inverse problem - Descartes. rule Computing the critical points of the distance function between two Keplerian orbits via rigorous global optimization R. Armellin, P. Di Lizia, M. Berz and K. Makino vol. 107 377-395 # 9281-7 Keywords Taylor models - Rigorous computation - MOID - Asteroids and comets - Close encounters - Apophis On the dynamics of extrasolar planetary systems under dissipation: Migration of planets John D. Hadjidemetriou and George Voyatzis vol. 107 pp.3-19- # 9260-z Keywords Periodic orbits - Resonances - Extrasolar planetary systems - Migration - Dissipation laws The Hill stability of low mass binaries in hierarchical triple systems Jian Li · Yan-Ning Fu · Yi-Sui Sun vol. 107 pp. 21-34- # 9276-4 Keywords Kuiper belt binaries - Three-body problem - Hill stability - Triple star systems Dynamical portrait of the Lixiaohua asteroid family B. Novakovic, K. Tsiganis and Z. Kne.evic vol. 107 pp. 35-49- # 9263-9 Keywords Mean-motion resonances - Chaotic motion - Asteroid families - Three-body MMR - Yarkovsky-induced drift Where are the Uranus Trojans? R. Dvorak, Á. Bazsó and L.-Y. Zhou vol. 107 pp. 51-62- # 9261-y Keywords Uranus Trojans - Trojan asteroids - Stability - Inclined Trojans A survey of near-mean-motion resonances between Venus and Earth Á. Bazsó, R. Dvorak, E. Pilat-Lohinger, V. Eybl and Ch. Lhotka vol. 107 pp. 63-76- # 9266-6 Keywords Mean motion resonances - Venus - Earth couple - Mercury.s escape - Inner Solar System Stickiness Effects in Chaos George Contopoulos · Mirella Harsoula vol. 107 pp. 77-92- # 9282-6 Keywords Galactic models - Chaos - Stickiness - Barred spiral galaxies - Spiral arms A secondary resonance in Mercury.s rotation Sandrine D.Hoedt, Benoît Noyelles, Julien Dufey and Anne Lemaître vol. 107 pp. 93-100 # 9262-x Keywords Mercury - Planetary rotation - Hamiltonian formalism - Resonance - Great Inequality - Kernel models Regions of stability in rotational dynamics Alessandra Celletti and George Voyatzis vol. 107 pp. 101-113 # 9267-5 Keywords Rotational dynamics - Lyapunov exponents - Rotational resonances - Non-synchronous resonance - Stability maps - Triaxial planets A numerical study of the hyperbolic manifolds in a priori unstable systems. A comparison with Melnikov approximations Elena Lega, Massimiliano Guzzo and Claude Froeschlé vol. 107 pp. 115-127 # 9265-7 Keywords Hyperbolic chaos - FLI - Diffusion coefficient A numerical study of the size of the homoclinic tangle of hyperbolic tori and its correlation with Arnold diffusion in Hamiltonian systems Elena Lega, Massimiliano Guzzo and Claude Froeschlé vol. 107 pp. 129-144 # 9264-8 Keywords Homoclinic tangle - Nekhoroshev theorem - Hyperbolic manifolds - Diffusion - Chaotic hyperbolic section Stability of the triangular Lagrange points beyond Gascheau.s value B. Sicardy vol. 107 pp. 145-155 # 9259-5 Keywords Three-body problem - Lagrange points - Global stability - Routh.s critical mass ratio - Feigenbaum cascade A global regularisation for integrating the Caledonian symmetric four-body problem Anoop Sivasankaran · Bonnie A. Steves · Winston L. Sweatman vol. 107 pp. 157-168 # 9270-x Keywords Regularisation - Close encounters - Restricted four-body problem - Caledonian symmetrical four-body problem Innovative methods of correlation and orbit determination for space debris Davide Farnocchia · Giacomo Tommei · Andrea Milani · Alessandro Rossi vol. 107 pp. 169-185 # 9274-6 Keywords Space debris - Orbit determination - Admissible region - Keplerian integrals - Virtual debris algorithm - Radar attributable - Linkage A motivating exploration on lunar craters and low-energy dynamics in the Earth.Moon system Elisa Maria Alessi, Gerard Gómez and Josep J. Masdemont vol. 107 pp. 187-207 # 9272-8 Keywords Lunar craters - Low-energy impacts - Circular restricted 3-body problem - Invariant manifolds - Bicircular 4-body problem - Knuth shuffle algorithm A .Spring.mass. model of tethered satellite systems: properties of planar periodic motions Vladislav V. Sidorenko · Alessandra Celletti vol. 107 pp. 209-231 # 9275-5 Keywords Tethered satellite system - Attitude dynamics - Parametric resonance Periodic and quasi-periodic motions of a solar sail close to SL1 in the Earth.Sun system Ariadna Farrés and Àngel Jorba vol. 107 pp. 233-253 # 9268-4 Keywords Centre manifold - Graph transform - Invariant tori - Low.thrust - Artificially generated equilibrium points Effects of interplanetary dust on the LISA drag-free constellation Massimo Cerdonio, Fabrizio De Marchi, Roberto De Pietri, Philippe Jetzer, Francesco Marzari, Giulio Mazzolo, Antonello Ortolan and Mauro Sereno vol. 107 pp. 255-264 # 9256-8 Keywords LISA - Interplanetary dust - Local dark matter - Free-fall orbits On the deflection of asteroids with mirrors Massimiliano Vasile · Christie Alisa Maddock vol. 107 pp. 265-284 # 9277-3 Keywords Asteroid deflection - Formation flying - Orbit control - Yarkovsky effect - Apophis Light-time computations for the BepiColombo Radio Science Experiment G. Tommei, A. Milani and D. Vokrouhlický vol. 107 pp. 285-298- # 9273-7 Keywords Mercury - Interplanetary tracking - Light-time - Relativistic effects - Range - Range rate - Shapiro effect Averaged rotational dynamics of an asteroid in tumbling rotation under the YORP torque S. Cicalò and D. J. Scheeres vol. 106 pp. 301-337 # 9249-7 Keywords Asteroid - Rotational dynamics - YORP effect - Tumbling rotation - Asteroid: Toutatis Families of first kind periodic solutions of the spatial and planar elliptic restricted three-body problem with collision Lúcia Brandão Dias and Claudio Vidal vol. 106 pp. 339-370 # 9251-0 Keywords Restricted three-body problem - Spatial restricted three-body problem with collision - Averaging method - Periodic solutions - Symmetries - Continuation.s method - Poincaré-Delaunay variables Relative motion of satellites exploiting the super-integrability of Kepler.s problem K. Uldall Kristiansen, P. L. Palmer and M. Roberts vol. 106 pp. 371-390 # 9253-y Keywords Relative motion - Formation flying - Variational equations - Constellations - Tetrahedral formation Multi-product splitting and Runge-Kutta-Nyström integrators Siu A. Chin vol. 106 pp. 391-406 # 9255-9 Keywords Runge-Kutta-Nyström integrators - Extrapolated symplectic integrators - Arbitrary high-order integrators Relativistic Celestial Mechanics on the verge of its 100 year anniversary (Brouwer Award lecture) V. A. Brumberg vol. 106 pp. 209-234 # DOI: 10.1007/s10569-009-9237-y Keywords Uniformly convergent series of polynomials - Elliptic anomaly - PPN parameters beta, gamma - Relativistic reference systems and timescales - Einstein-Infeld-Hofmann equations - Indirect relativistic perturbations - Weak-field GRT metric - Cosmological background Measuring black hole spin in OJ287 M. J. Valtonen, S. Mikkola, H. J. Lehto, T. Hyvönen, K. Nilsson, D. Merritt, A. Gopakumar, H. Rampadarath, R. Hudec, M. Basta and R. Saunders vol. 106 pp. 235-243 # 9252-z Keywords Gravity - General relativity - Stellar systems - Binary black hole physics - Outburst prediction - Quasar OJ287 Formation of the extreme Kuiper-belt binary 2001 QW322 through adiabatic switching of orbital elements Antonio Gamboa Suárez, Daniel Hestroffer and David Farrelly vol. 106 pp. 245-259 # 9257-7 Keywords Kuiper-belt binary - Binaries - Formation mechanisms - Chaos-assisted capture - 2001 QW_322 - Irregular satellites - FLI maps Secular orbit variation due to solar radiation effects: a detailed model for BYORP Jay McMahon and Daniel Scheeres vol. 106 pp. 261-300 # 9247-9 Keywords Binary YORP - BYORP - Solar radiation pressure - Orbit perturbations - Binary asteroids - NEAs Fradkin-Bacry-Ruegg-Souriau perihelion vector for Gorringe-Leach equations Yves Grandati, Alain Bérard and Hervé Mohrbach vol. 106 pp. 109-116 # 9244-z Keywords Classical mechanics - Conserved quantities - Dynamical symmetries - Velocity dependent equations - Arnold-Vassiliev duality - Laplace-Runge-Lenz vector Using space manifold dynamics to deploy a small satellite constellation around the Moon Riccardo Marson, Mauro Pontani, Ettore Perozzi and Paolo Teofilatto vol. 106 pp. 117-142 # 9246-x Keywords Space manifold dynamics - Lunar exploration - Weak stability boundary - Low energy transit orbits Explicit algorithmic regularization in the few-body problem for velocity-dependent perturbations Christian Hellström and Seppo Mikkola vol. 106 pp. 143-156 # 9248-8 Keywords Algorithmic regularization - Extrapolation methods - Auxiliary velocity algorithm (AVA) - Bulirsch-Stoer Circular and zero-inclination solutions for optical observations of Earth-orbiting objects K. Fujimoto, J. M. Maruskin and D. J. Scheeres vol. 106 pp. 157-182 # 9245-y Keywords Situational awareness - Orbit determination - Space debris - Admissible region Optimal Mars transfers for small payload transportation Andrea Bolle, Christian Circi and Giuseppe Corrao vol. 106 pp. 183-196 # 9250-1 Keywords Orbit transfer optimization - Interplanetary trajectories - Computer methods - Bolza problem On the existence of central configurations of p nested regular polyhedra Montserrat Corbera and Jaume Llibre vol. 106 pp. 197-207 # 9254-x Keywords N-body problems - Spatial central configurations - Nested regular polyhedra Gravity assist space pruning based on differential algebra R. Armellin, P. Di Lizia, F. Topputo, M. Lavagna, F. Bernelli-Zazzera and M. Berz vol. 106 pp. 1-24 #9235-0 Keywords Global optimization - Multi-gravity assist transfer - Search space pruning - Differential algebra techniques A closed-form solution to the minimum Delta{V_tot^2} Lambert.s problem Martín Avendaño and Daniele Mortari vol. 106 pp. 25-37 # 9238-x Keywords Orbit transfer - Two-impulse - Rendezvous - Lambert.s problem Out-of-plane librations of spinning tethered satellite systems Joshua R. Ellis and Christopher D. Hall vol. 106 pp. 39-67 # 9239-9 Keywords Spinning tethered satellite system - Floquet theory - Mathieu.s equation Multiple spacecraft rendezvous maneuvers by differential drag and low thrust engines Riccardo Bevilacqua, Jason S. Hall and Marcello Romano vol. 106 pp. 69-88 # 9240-3 Keywords Multiple spacecraft rendezvous - Differential drag - Optimal control - Autonomous rendezvous Symmetric planar central configurations of five bodies: Euler plus two Marian Gidea and Jaume Llibre vol. 106 pp. 89-107 # 9243-0 Keywords Central configuration - Planar five-body problem - Stacked central configurations 2014=118-119-120 2013=115-116-117 2012=112-113-114 2011=109-110-111 2010=106-107-108 -------------------------------------------------------- 2009