On the existence of J2 invariant relative orbits from the dynamical system point of view Ming Xu, Yue Wang and Shijie Xu Volume 112, in press 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, in press 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, in press DOI: 10.1007/s10569-012-9398-y Keywords Natural satellites . Rotation . Periodic orbits . Hamiltonian systems . Numerical methods Behavior of nearby synchronous rotations of a Poincaré.Hough satellite at low eccentricity Benoît Noyelles Volume 112, in press 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. Compčre, 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, Agnčs 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, 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 Show SummaryDownload PDF (499.2 KB) 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 Baů 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 . Figure axis .Angular momentum 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. Pińa & 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 Ŕngel 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. Cicalň 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 Brandăo 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 - Cosmological background - Einstein.Infeld.Hofmann equations - Indirect relativistic perturbations - Weak-field GRT metric - 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 Avendańo 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 -------------------------------------------------------- 2009 Orbital structure of self-consistent cuspy triaxial stellar systems J. C. Muzzio, H. D. Navone and A. F. Zorzi Vol. 105 pp. 379-395, # DOI: 10.1007/s10569-009-9241-2 Keywords: Cuspy triaxial stellar systems - Figure rotation - Stellar orbits - Chaotic motion - Self-consistent models Optimal switching strategy for radially accelerated trajectories Authors: A.A.Quarta and G.Mengali vol. 105 pp.361-377 # DOI 10.1007/s10569-009-9233-2 Keywords: Low-thrust trajectories - Mission analysis - Solar system exploration Accurate analytical representation of Pluto modern ephemeris Authors: S.M. Kudryavtsev and N.S. Kudryavtseva vol. 105 pp.353-360 # DOI 10.1007/s10569-009-9233-2 Pluto coordinates- Solar system barycenter - Analytical series - Poisson series expansions . Spectral analysis algorithms . ephemerides DE 421 Straight line orbits in Hamiltonian flows Authors: J.E.Howard and J.D.Meiss vol. 105 pp. 337-352 # DOI 10.1007/s10569-009-9231-4 Keywords: Natural flows - Hamiltonian flows - Hénon.Heiles - Homogeneous potentials - Direct and indirect methods A Mercury orientation model including non-zero obliquity and librations Author: J.-L. Margot vol. 105 pp. 329-336 # DOI 10.1007/s10569-009-9234-1 Keywords: Planets rotation - Mercury - Gravity Fast computation of complete elliptic integrals and Jacobian elliptic functions Author: T. Fukushima vol. 105 pp.305-328 # DOI 10.1007/s10569-009-9228-z Keywords: Numerical methiods - Complete elliptic integrals . Jacobian elliptic functions . Nome expansion . Innes. method . Encke.s method Single lunation N-observation orbits Author: L.K. Kristensen vol. 105 pp. 275-287 # DOI 10.1007/s10569-009-9226-1 Keywords Asteroids - Orbit determination - Data reduction techniques - Linking Transient chaos in the Sitnikov problem Authors: T. Kovács and B. Érdi vol. 105 pp. 289-304 # DOI 10.1007/s10569-009-9227-0 Keywords Transient chaos - Chaotic saddle - Chaotic scattering - Sitnikov problem - Stickiness Rotation of the elastic Earth: the role of the angular-velocity-dependence of the elasticity-caused perturbation Author: Y. Kubo vol. 105 pp. 261-274 # DOI 10.1007/s10569-009-9225-2 Keywords Convective term - Elastic Earth - Nutation series - Andoyer variables - Rotational axis - Figure axis Modeling orbital relative motion to enable formation design from application requirements Author: G.Fasano and M.D'Errico vol.105 pages 113-139 # DOI 10.1007/s10569-009-9230-5 Keywords: Formation flying - Relative dynamics - Time-explicit analytical model - Relative trajectory design A multi-objective approach to the design of low thrust space trajectories using optimal control Authors: M. Dellnitz, S. Ober-Blöbaum, M. Post, O. Schütze and B. Thiere vol. 105 pages 33-59 # DOI 10.1007/s10569-009-9229-y Keywords: Space mission design - Low thrust propulsion - Three body problem - Multi-objective optimization - Pareto set - Optimal control - Formation flight Optimal low-thrust trajectories to asteroids through an algorithm based on differential dynamic programming Authors: C. Colombo, M. Vasile and G. Radice vol. 105 pages 75-112 # DOI 10.1007/s10569-009-9224-3 Keywords N-body - Asteroids - Trajectory optimisation - Optimisation methods - Optimal control - Low-thrust trajectories - Near-Earth objects - Differential dynamic progamming . Bellman principle - Multi-body problem - Multi-revolution trajectory - Rendez-vous trajectory to Apophis Computation of weak stability boundaries: Sun.Jupiter system Authors: F. Topputo and E. Belbruno vol. 105 3-17 # DOI 10.1007/s10569-009-9222-5 Keywords Restricted three-body problem - Weak stability boundary - Ballistic capture - Invariant manifolds - Lyapunov orbits - Stable sets Cooperative evolutionary algorithm for space trajectory optimization Authors: M.R.Sentinella and L.Casalino vol. 105 pages 211-227 # DOI 10.1007/s10569-009-9223-4 Keywords Trajectory optimization - Evolutionary algorithms - Mission planning - Hybrid algorithm - Earth.Mars round-trip mission Minimum control for spacecraft formations in a J2 perturbed environment Authors: M. Sabatini, D. Izzo and G. B. Palmerini vol. 105 pages 141-157 # DOI 10.1007/s10569-009-9214-5 Keywords Formation flying - Magic inclinations - Orbital control - Projected circular orbit (PCO) - Quasi-PCO orbits Low-energy, low-thrust transfers to the Moon Authors: G. Mingotti, F. Topputo and F. Bernelli-Zazzera vol. 105 pages 61-74 # DOI 10.1007/s10569-009-9220-7 Keywords Low energy transfer - Low-thrust transfer - Ballistic capture - Lagrange points - Invariant manifolds - Three-body problem Formation flying solar-sail gravity tractors in displaced orbit for towing near-Earth asteroids Authors: Shengping Gong, Junfeng Li and Hexi BaoYin vol. 105 pages 159-177 # DOI 10.1007/s10569-009-9211-8 Keywords Asteroid deflection - Solar sail - Formation flying - Gravitational tractor - NEO deflection.displaced orbit near an asteroid Earth.Mars halo to halo low thrust manifold transfers Authors: P. Pergola, K. Geurts, C. Casaregola and M. Andrenucci vol. 105 pages 19-32 # DOI 10.1007/s10569-009-9205-6 Keywords Halo orbits - Low-thrust manifolds - Low thrust - Circular restricted three body problem . Bi-Circular Model - Earth-to-Mars transfers Non-Keplerian orbits for electric sails Author(s): Giovanni Mengali and Alessandro A. Quarta vol.105 pages 179-195 # DOI 10.1007/s10569-009-9200-y Keywords Electric sail - Displaced non-Keplerian orbit - Trajectory optimization - Solar sail Dynamical aspects of multi-round horseshoe-shaped homoclinic orbits in the RTBP E. Barrabés, J. M. Mondelo and M. Ollé vol.105 pages 197-210 # DOI 10.1007/s10569-009-9190-9 Keywords Invariant manifolds - Multi-round homoclinic orbits - Restricted three-body problem - Symmetric homoclinic orbits - Homoclinic connection to L3 Collective control of spacecraft swarms for space exploration Author(s): Marco Sabatini and Giovanni B. Palmerini vol.105 pasges 229-244 # DOI 10.1007/s10569-009-9183-8 Keywords Behavioral strategies - Swarms of satellites - Swarm dynamics Fast computation of Jacobian elliptic functions and incomplete elliptic integrals for constant values of elliptic parameter and elliptic characteristic Author(s): Toshio Fukushima vol.105 pages 245-260 # DOI 10.1007/s10569-008-9177-y Keywords Extended body dynamics - Rotation - Numerical method - Elliptic integrals - Jacobian elliptic functions A complex exponential solution to the unified two-body problem Author(s): Troy A. Henderson, John L. Junkins and Gianmarco Radice vol.104 pages 355-368 # DOI 10.1007/s10569-008-9218-1 Keywords Sundman transformation - Complex exponential - Unified two-body problem - Elliptic and hyperbolic solutions Central configurations of the five-body problem with equal masses Author(s): Tsung-Lin Lee and Manuele Santoprete vol.104 pages 369-381 # DOI 10.1007/s10569-008-9219-0 Keywords Celestial mechanics - n-Body problem - Central configurations - Polyedral homotopy continuation method A web of secondary resonances for large A/m geostationary debris Author(s): A. Lemaître, N. Delsate and S. Valk vol.104 pages 383-402 # DOI 10.1007/s10569-008-9217-2 Keywords Geostationary debris - Space debris - Secondary resonance - Analytical model Artificial halo orbits for low-thrust propulsion spacecraft Author(s): Shahid Baig and Colin R. McInnes vol.104 pages 321-335 # DOI 10.1007/s10569-008-9215-4 Keywords Restricted three body problem - Halo orbits - Low-thrust propulsion - Continuation method - Artificial equilibrium points Attitude stability of artificial satellites subject to gravity gradient torque Author(s): Rodolpho Vilhena de Moraes, Regina Elaine Santos Cabette, Maria Cecília Zanardi, Teresinha J. Stuchi and Jorge Kennety Formiga vol.104 pages 337-353 # DOI 10.1007/s10569-008-9216-3 Keywords Rotational motion of artificial satellites - Non linear stability - Normalization Book Review: Michael Perryman: Astronomical applications of Astrometry: Ten years of exploitation of the Hipparcos satellite data Cambridge University Press, 2009 Author(s): Jean Kovalevsky vol.104 pages 403-405 # DOI 10.1007/s10569-008-9221-6 Preface Author(s): Rudolf Dvorak and Sylvio Ferraz-Mello vol. 104 pages 1-2 # 9212-7 Order and chaos in spiral galaxies (Heinrich Eichhorn Lecture) Author(s): G. Contopoulos vol. 104 pages 3-21 # 9181-2 Keywords Density wave theory - Spiral galaxies - Non-linear effects - Barred galaxies - Velocities - Long-time evolution - Spiral density waves - Sticky chaotic orbits The 1/1 resonance in extrasolar planetary systems Author(s): John D. Hadjidemetriou, Dionyssia Psychoyos and George Voyatzis vol. 104 pages 23-38 # 9185-6 Keywords Periodic orbits - 1/1 resonance - Stability - Planetary systems - Exoplanets On the origin of the Kuiper belt Author(s): Rodney da Silva Gomes vol. 104 pages 39-51 # 9186-5 Keywords Kuiper belt - Planetary migration - Solar System dynamics - Planetesimal disk - Nice model - Scattered disk - Kuiper belt: evaders - Kuiper belt: cold population Long term evolution of quasi-circular Trojan orbits Author(s): C. Marchal vol. 104 pages 53-67 # 9195-4 Keywords Trojan asteriods - Longterm orbital evolution - Periodic orbits - Quasi-circular orbits Stability of Trojan planets in multi-planetary systems. Stability of Trojan planets in different dynamical systems Author(s): R. Schwarz, Á.S\"uli, R. Dvorak and E. Pilat-Lohinger vol. 104 pages 69-84 # 9210-9 Keywords HD 155358 - HD 69830 - Trojan planets - Habitable planets - Stability around Lagrangian points Numerical studies of chaotic Hilda-type orbits Author(s): Joachim Schubart vol. 104 pages 85-92 # 9166-1 Keywords Asteroid - Resonance - Chaotic motions Fuzzy characterization of near-Earth-asteroids Author(s): Florian Freistetter vol. 104 pages 93-102 # 9168-z Keywords Near-Earth-Asteroids - Dynamics - Chaos - Fuzzy Logic Stability of the planar full 2-body problem Author(s): D. J. Scheeres vol. 104 pages 103-128 # 9184-7 Keywords Coupled rotational and translational motion - Asteroids - Stability About averaging procedures in the problem of asteroid motion Author(s): I. V. Tupikova vol. 104 pages 129-144 # 9208-3 Keywords Hamiltonian dynamics - Averaging - Lie series method - Asteroid dynamics A parametric study of stability and resonances around L4 in the elliptic restricted three-body problem Author(s): B\'alint Érdi, Emese Forg\'acs-Dajka, Imre Nagy and Ren\'ata Rajnai vol. 104 pages 145-158 # 9197-2 Keywords Elliptic restricted three-body problem - Lagrangian point L_4 - Stability - Resonances - Trojan planets - Rabe.s frequency equation Kolmogorov and Nekhoroshev theory for the problem of three bodies Author(s): Antonio Giorgilli, Ugo Locatelli and Marco Sansottera vol. 104 pages 159-173 # 9192-7 Keywords Perturbation theory - KAM theory - Nekhoroshev theory - Exponential stability - Kolmogorov theorem . Sun-Jupiter-Saturn system Dynamic expansion points: an extension to Hadjidemetriou.s mapping method Author(s): Christoph Lhotka vol. 104 pages 175-189 # 9189-2 Keywords Dynamic expansion points - Symplectic mappings - Explicit expansion - Generating function - Perturbation theory - Standard map - Asteroidal 3:1 resonance Measure of the exponential splitting of the homoclinic tangle in four-dimensional symplectic mappings Author(s): Elena Lega, Massimiliano Guzzo and Claude Froeschl\'e vol. 104 pages 191-204 # 9188-3 Keywords Hamiltonian systems - Separatrix splitting - Numerical computations - Nekhoroshev theorem - Arnold diffusion - Symplectic maps The stability of vertical motion in the N-body circular Sitnikov problem Author(s): T. Bountis and K. E. Papadakis vol. 104 pages 205-225 # 9194-5 Keywords N-body problem - Sitnikov motions - Stability - 3-dimensional periodic orbits - Ordered motion - Escape regions - Uniform rotating ring Quasi-critical orbits for artificial lunar satellites Author(s): S. Tzirti, K. Tsiganis and H. Varvoglis vol. 104 pages 227-239 # 9207-4 Keywords Lunar artificial satellite - Critical inclination - C_22 On bridges B(pL, qS) around triangular libration points Author(s): X. Y. Hou and L. Liu vol. 104 pages 241-256 # 9206-5 Keywords Restricted three-body problem - Triangular libration point - Periodic orbit - Bridges connecting Lyapunov families Tidal torques: a critical review of some techniques Author(s): Michael Efroimsky and James G. Williams vol. 104 pages 257-289 # 9204-7 Keywords Tides - Body tides - Bodily tides - Land tides - Tidal forces - Tidal torques - MacDonald torques - Libration - Natural satellites - Tidal despinning - Spin.orbit interaction - Spin.orbit coupling - Spin.orbit resonances Averaging on the motion of a fast revolving body. Application to the stability study of a planetary system Author(s): Fran\c{c}ois Farago, Jacques Laskar and Jocelyn Couetdic vol. 104 pages 291-306 # 9209-2 Keywords N-Body problems - Planetary systems - Numerical methods - Stability - Chaotic motions - \mu Arae . Averaged integration New doubly-symmetric families of comet-like periodic orbits in the spatial restricted (N + 1)-body problem Author(s): Jaume Llibre and Luci Any Roberto vol. 104 pages 307-318 # 9213-6 Keywords Comet-like periodic orbits - Spatial restricted (N + 1)-body problem - Doubly symmetric periodic orbits - Continuation method Errata to .Tidal friction in close-in satellites and exoplanets. The Darwin theory re-visited. Author(s): Sylvio Ferraz-Mello, Adri\'an Rodr\'iguez and Hauke Hussmann vol. 104 pages 319-320 # 9198-1 Radially accelerated optimal feedback orbits in central gravity field with linear drag Author(s) Ashraf Owis, Francesco Topputo, Franco Bernelli-Zazzera vol. 103 p. 1 - 16 # 9161-6 Keywords Orbital transfers - Feedback optimal control - Generating function - Linear drag Numerical integration of relativistic equations of motion for Earth satellites Author(s) A. San Miguel vol. 103 p. 17 - 30 # 9162-5 Keywords Relativity - Artificial satellites - Numerical methods Dynamical modelling of the elliptical galaxy NGC 2974 Author(s) Zhenglu Jiang vol. 103 p. 31 - 47 # 9164-3 Keywords Stellar dynamics - Elliptical galaxies - Oblate Jaffe models- NGC 2974 Improved grid search method: an efficient tool for global computation of periodic orbits Author(s) G. A. Tsirogiannis, E. A. Perdios, V. V. Markellos vol. 103 p. 49 - 78 # 9165-2 Keywords Families of periodic orbits - Grid search - Hill.s problem - Irregular families Earth.Moon Weak Stability Boundaries in the restricted three and four body problem Author(s) Daniele Romagnoli, Christian Circi vol. 103 p. 79- 103 # 9169-y Keywords Weak Stability Boundaries - Four body problem - Low-energy transfer Variational integrators for almost-integrable systems Author(s) Will M. Farr vol. 103 p. 105-118 # 9172-3 Keywords N-Body problems - Hamiltonian systems - Numerical methods - Variational integrators - Symplectic integrators Stickiness in three-dimensional volume preserving mappings Author(s) Yi-Sui Sun and Li-Yong Zhou vol. 103 p. 119-131 # 9173-2 Keywords Hamiltonian systems - Stickiness effects - Three dimensional mapping Duality properties of Gorringe-Leach equations Author(s) Yves Grandati, Alain B\'erard and Herv\'e Mohrbach vol. 103 p. 133-141 # 9174-1 Keywords Gorringe-Leach equations - Arnold-Vassiliev duality - Laplace.Runge.Lenz vector - Fradkin-Jauch-Hill tensor - Euler-Sundman reparametrization A numerical study of the orbits of second species of the planar circular RTBP Author(s) Joaquim Font, Ana Nunes and Carles Sim\'o vol. 103 p. 143-162 # 9176-z Keywords Restricted three body problem - Second species - Periodic orbits - Chaotic motion - Quasi-collision orbits The restricted planar isosceles three-body problem with non-negative energy Author(s) Josep Maria Cors, C\'esar Castilho and Claudio Vidal vol. 103 p. 163-177 # 9178-x Keywords 3-Body problem - Restricted isosceles problem - Global flow - Sitnikov-type restricted problem On the IAU 2000/2006 precession.nutation and comparison with other models and VLBI observations Author(s) N. Capitaine, P. M. Mathews, V. Dehant, P. T. Wallace and S. B. Lambert vol. 103 p. 179-190 # 9179-9 Keywords Earth rotation - Precession-nutation - VLBI observations - Reference systems The rectilinear three-body problem using symbol sequence II: role of the periodic orbits Author(s) Masaya Masayoshi Saito and Kiyotaka Tanikawa vol. 103 p. 191-207 # 9175-0 Keywords Three-body problem - Chaos - Symbolic dynamics - Periodic orbit Phase-space volume of regions of trapped motion: multiple ring components and arcs Author(s) Luis Benet and Olivier Merlo vol. 103 p. 209-225 # 9182-1 Keywords Phase-space volume of trapped regions - Scattering systems - Narrow rings - Multiple components - Ring arcs Lagrangian coherent structures in the planar elliptic restricted three-body problem Author(s) Evan S. Gawlik, Jerrold E. Marsden, Philip C. Du Toit and Stefano Campagnola vol. 103 p. 227-249 # 9180=3 Keywords Three-body problem - Invariant manifolds - Separatrices - BepiColombo mission An analytical approach to small amplitude solutions of the extended nearly circular Sitnikov problem Author(s) J. Hagel vol. 103 p. 251-266 # 9187-4 Keywords Sitnikov Problem - Coupled Systems - Function Iteration - Convergence - Perturbation Methods - Beating - Perihelion Motion Dynamics of planets in retrograde mean motion resonance Author(s) Julie Gayon, Eric Bois and Hans Scholl vol. 103 p. 267-279 # 9191-8 Keywords Hamiltonian systems - Planetary systems - Resonance - Periodic orbits - Retrograde planets - Resonant average - Hamiltonian Strategies for plane change of Earth orbits using lunar gravity and derived trajectories of family G C. F. de Melo, E. E. N. Macau and O. C. Winter vol. 103 p. 281-299 # 9193-6 Keywords Astrodynamics - Earth.Moon system - Mission design - Orbital maneuvers - Swing-by - Gravity assisted maneuver Multiple solutions in preliminary orbit determination from three observations Giovanni Federico Gronchi vol. 103 p. 301-326 # 9201-x Keywords Orbit determination - Two-body problem - Charlier.s limiting curve - Multiple solutions in Laplace.s method Analytical solutions for the equations of motion of a space vehicle during the atmospheric re-entry phase on a 2-D trajectory Gabriel Mititelu vol. 103 p. 327-342 # 9199-0 Keywords Planar Motion - Dynamical equations of atmospheric re-entry - Analytical solutions for differential equations - Exponential integral - Generalized exponential integral Motion of dust in mean motion resonances with planets Pavol P\'astor, Jozef Kla\v{c}ka and Ladislav K\'omar vol. 103 p. 343-364 # 9202-9 Keywords Dust particles - Poynting.Robertson effect - Mean motion resonances - Elliptic restricted three-body problem Proposals for the masses of the three largest asteroids, the Moon-Earth mass ratio and the Astronomical Unit E. V. Pitjeva and E. M. Standish vol. 103 p. 365-372 # 9203-8 Keywords Ceres mass - DE ephemerides - EPM ephemerides - Pallas mass - Vesta mass - Moon-Earth mass ratio - Astronomical Unit Resonances of low orders in the planetary system of HD37124 Authors Roman V. Baluev vol. 102 297-325 #9163 Keywords Planetary systems - Resonance - Stability - Periodic orbits - Statistical methods - exoplanets - HD 37124 Dynamics of Enceladus and Dione inside the 2:1 Mean-Motion Resonance under Tidal Dissipation Authors N.Callegari Jr. and T. Yokoyama vol. 102 273-296 #9167 Keywords Enceladus - Dione - Mean-Motion resonance - Satellites - Saturn satellites - Tidal evolution Application of high order expansions of two-point boundary value problems to astrodynamics Authors P. Di Lizia, R.Armellin and M.Lavagna vol. 102 355-375 #9170 Keywords Two-point boundary value problem - Differential algebra - Halo orbit - Aerocapture Nonlinear Dynamical Analysis for Displaced Orbits above a Planet Ming Xu and Shijie Xu vol. 102 327-353 #9171 Keywords Displaced Orbits - Solar Sail - Nonlinear Dynamics - Bifurcation - Quasi-periodic - Homoclinic Orbits - KAM Torus - Periodic Lyapunov orbits Preface Authors Alessandra Celletti, Elena Lega and Sylvio Ferraz-Mello vol. 102 1-2 #9157 Connectance and stability of nonlinear symplectic systems Authors D. Laveder, M. Cosentino, Elena Lega and Claude Froeschl\'e vol.102 3-12 # 9120 Keywords Dynamical systems with large number of degrees of freedom - Coupling and connectance - Chaos - Symplectic maps Local and global diffusion in the Arnold web of a priori unstable systems Authors Nata\v{s}a Todorovi\'c, Elena Lega and Claude Froeschl\'e vol. 102 13-27 #9152 Keywords Chaos - Hamiltonian systems - Diffusion - Unstable systems Using FLI maps for preliminary spacecraft trajectory design in multi-body environments Authors B.F.Villac vol. 102 29-48 #9158 Keywords Spacecraft trajectory design - Fast Lyapunov Indicator - Stability regions - Manifold detection . Restricted three-body problem - Jupiter missions On the connection betwen the Nekhoroshev theorem and Arnold diffusion Author Christos Efthymiopoulos vol. 102 49-68 #9151 Keywords Normal forms - Nekhoroshev theorem - Arnold diffusion On periodic orbits and resonance in extrasolar planetary systems Authors John D. Hadjidemetriou vol.102 69-82 # 9119 Keywords Periodic orbits - Resonance - Extrasolar planetary systems - Routes to chaos - Stability of planetary systems On the stability of Earth-like planets in multi-planet systems Authors E. Pilat-Lohinger, P.Robutel, \'A. S\¨uli and F. Freistetter vol. 102 83-95 #9159 Keywords Planetary systems - Planets: Jupiter, Saturn, Uranus - Resonances - Habitable zone The dynamics of inclined Neptune Trojans Authors R.Dvorak, Ch.Lhotka and R.Schwarz vol. 102 97-110 #9136 Keywords Solar System - Neptune Trojans - Trojan asteroids - Mappings Injection of Oort Cloud comets: the fundamental role of stellar perturbations Authors Hans Rickman, Marc Fouchard, Christiane Froeschl\'e and Giovanni B. Valsecchi vol.102 111-132 # 9140 Keywords Galactic tide - Monte Carlo simulation - Long period comets - Oort Cloud On the rotation of comet Borrelly's nucleus Authors V.V.Sidorenko, D.J.Scheeres and S.M.Byram vol. 102 133-147 #9160 Keywords: Comet nucleus - Rotational dynamics - Non-gravitational perturbations Quaternions for regularizing Celestial Mechanics: the right way Authors J\¨{o}rg Waldvogel vol.102 149-162 # 9124 Keywords Quaternions - Regularization - Kustaanheimo.Stiefel transformation - Kepler formulas - Birkhoff transformation - Perturbed Kepler problem - Joukowsky-Birkhoff mapping - Quaternion algebra Quantitative predictions with detuned normal forms Authors Giuseppe Pucacco, Dino Boccaletti and Cinzia Belmonte vol.102 163-176 # 9141 Keywords Normal forms of Hamiltonian systems - Galactic potentials - Stability of periodic orbits Periodic orbits as centers of stability in the secular 3D planetary three body problem Authors Jacques Henrard and Anne-Sophie Libert vol.102 177-189 # 9111 Keywords Exoplanetary systems - Three body problem - Periodic orbits - Homoclinic orbits - Stability - Bifurcations Particle motions in Maxwell's ring dynamical systems Author Tilemahos J. Kalvouridis vol. 102 191-206 #9149 Keywords Particle dynamics in regular polygon configurations of (N+1) bodies Novel spaceways for reaching the Moon: an assessment for exploration Authors Ettore Perozzi and Alessio Di Salvo vol. 102 207-218 #9156 Keywords Exploration - Lunar transfers - Manifold dynamics Ordered and chaotic Bohmian trajectories Authors George Contopoulos and Christos Efthymiopoulos vol.102 219-239 # 9127 Keywords Orbits - Quantum mechanics - Bohmian approach - Bohmian trajectories Observation of Hamiltonian chaos in wave.particle interaction Authors Fabrice Doveil, Alessandro Macor and Anass A\¨{\i}ssi vol.102 255-272 # 9130 Keywords Hamiltonian chaos - KAM tori - Resonance overlap - Devil.s staircase - Traveling wave tube - Large scale chaos (LSC) - Control of chaos Global dynamical properties of the Fermi.Pasta.Ulam system Authors Simone Paleari, Claude Froeschl\'e and Elena Lega vol.102 241-254 # 9138 Keywords Fast Lyapunov Indicator - Fermi.Pasta.Ulam system - Thermodynamic limit The rotation of Io with a liquid core Author Jacques Henrard vol.101 1-12 #9135 Keywords Rotational dynamics - Liquid core - Jovian planets - Io Titan.s rotational state. The effects of a forced .free. resonant wobble Author Benoît Noyelles vol.101 13-30 #9132 Keywords Rotation - Natural satellites - Resonance On the rotational dynamics of Prometheus and Pandora Authors A. V. Melnikov and I. I. Shevchenko vol.101 31-47 #9131 Keywords Resonances - Chaotic motion - Rotational dynamics - Satellites of Saturn: Prometheus, Pandora . Chaotic satellite rotation Exact solution of a triaxial gyrostat with one rotor Authors Antonio Elipe and Víctor Lanchares vol.101 49-68 #9129 Keywords Attitude motion - Gyrostat - Elliptic functions Rotational dynamics of a solar system body under solar radiation torques Authors Daniel J. Scheeres and Sepidehsadat Mirrahimi vol.101 69-103 #9116 Keywords YORP - Rotational dynamics - Asteroids - Asteroid rotation - Solar radiation torques Some properties of the dumbbell satellite attitude dynamics Authors Alessandra Celletti and Vladislav Sidorenko vol.101 105-126 #9122 Keywords Attitude dynamics - Dumbbell satellite - Parametric resonance Planetary long periodic terms in Mercury.s rotation: a two dimensional adiabatic approach Authors Sandrine D.Hoedt and Anne Lemaître vol.101 127-139 #9115 Keywords Mercury - Rotation - Adiabatic invariant - Planetary perturbations Planetary perturbations on Mercury.s libration in longitude Authors Julien Dufey, Anne Lemaître and Nicolas Rambaux vol.101 141-157 #9143 Keywords Mercury.s libration - Mercury rotation - Planetary perturbations Measures of basins of attraction in spin-orbit dynamics Authors Alessandra Celletti and Luigi Chierchia vol.101 159-170 #9142 Keywords Periodic attractors - Quasi-periodic attractors - Spin-orbit problem - Dissipative systems - Attraction bassins Tidal friction in close-in satellites and exoplanets: The Darwin theory re-visited Authors Sylvio Ferraz-Mello, Adrián Rodríguez and Hauke Hussmann vol.101 171-201 #9133 Keywords Tidal friction - Exoplanets - Satellites - Energy dissipation - Orbit evolution - Darwin.s theory - Synchronous rotation - Stationary rotation - Capture into 1:1 resonance Adiabatic chaos in the spin.orbit problem Authors Giancarlo Benettin, Massimiliano Guzzo and Valerio Marini vol.101 203-224 #9137 Keywords Spin.orbit problem - Adiabatic invariants Extension of fast periodic transfer orbits from the Earth.Moon RTBP to the Sun.Earth.Moon Quasi-Bicircular Problem Authors Alejandro M. Leiva and Carlos Bruno Briozzo vol.101 225-245 # 9134 Keywords Earth.Moon transfer orbits - Periodic orbits - Fast transfer - Low energy - Quasi-Bicircular Problem - Periodic orbit continuation On the inclination functions and a rapid stable procedure for their evaluation together with derivatives R. H. Gooding and C. A. Wagner vol. 101 247-272 #9145 Keywords Inclination functions - Rotation of spherical harmonics - Satellite perturbations About the Hill stability of extrasolar planets in stellar binary systems Authors Ferenc Szenkovits and Zoltán Makó vol.101 273-287 # 9144 Keywords Extrasolar planets - Elliptic restricted three-body problem - Hill stability - Planets in stellar binary systems The relativistic factor in the orbital dynamics of point masses Authors Federico Benitez and Tabaré Gallardo vol.101 289-307 # 9146 Keywords General Relativity effects - Relativistic minor bodies - Solar System - Small bodies Vertical bifurcation families from the long and short period families around the equilateral equilibrium points Authors X. Y. Hou and L. Liu vol.101 309-320 # 9147 Keywords Restricted three-body problem - Equilateral equilibrium point - Periodic orbit - Bifurcation Jacques Henrard 1940-2008 Author Anne Lemaitre vol.101 321 - 323 # 9148 Earth's precession-nutation motion: the error analysis of the theories IAU 2000 and IAU 2006 applying the VLBI data of the years 1984-2006 Author G. A. Krasinsky vol.101 325 - 336 # 9150 Keywords Earth rotation - Tides - Love numbers - VLBI observations - Earth.s precession.nutation Harmonic development of tide-generating potential of terrestrial planets Author Sergey M. Kudryavtsev vol.101 337 - 348 # 9153 Keywords Planets - Tide-generating potential - Analytical model Periodic orbits accumulating onto elliptic tori for the (N +1)-body problem Authors Luca Biasco and Federico Coglitore vol.101 349 - 373 # 9154 Keywords N-body problem - Periodic orbits - Nearly-integrable Hamiltonian systems - Lower-dimensional elliptic tori - Planetary N-body problem Exact analytic solutions for the rotation of an axially symmetric rigid body subjected to a constant torque Author Marcello Romano vol.101 375 - 390 #9155 Keywords Rigid body dynamics - Kinematics - Rotation - Integrable cases of motion - Revolution ellipsoid of inertia - Analytical reduction An analytical method to compute comet cloud formation efficiency and its application Authors Ramon Brasser and Martin J. Duncan vol.100 1-26 # 9100 Keywords Numerical methods - Planetary systems - Comets - Extrasolar systems Astrometric masses of 21 asteroids, and an integrated asteroid ephemeris Authors James Baer and Steven R. Chesley Vol.100 27-42 # 9103 N-body - Asteroid - Ephemerides - Asteroid masses - Astrometric masses - Asteroid porosity The eccentric frame decomposition of central force fields Authors Jared M. Maruskin, Daniel J. Scheeres, Fred C. Adams and Anthony M. Bloch Vol.100 43-62 # 9105 Central force fields - Dark matter halos - Hernquist.Newton potential - Central black hole - Axi-symmetric potentials Energy and stability in the Full Two Body Problem Authors Julie Bellerose and Daniel J. Scheeres vol.100 63-91 # 9108 Full Two-Body Problem - Ellipsoid.sphere system - Relative equilibria - Stability - Periodic orbits The rectilinear three-body problem Authors Victor Vladimirovich Orlov, Anna V. Petrova, Kiyotaka Tanikawa, Masaya M. Saito and Alija I. Martynova vol.100 93-120 #9101 Keywords Three-body problem - Rectilinear three-body problem - Triple approaches - Schubart periodic orbit - Escapes - Ejections Rotational evolution of exoplanets under the action of gravitational and magnetic perturbations Authors Irina N. Kitiashvili and Alexander Gusev vol.100 121-140 #9106 Keywords Exoplanets - Rotational evolution - Gravitational and magnetic perturbations - Qualitative analysis - Bifurcation theory New central configurations for the planar 5-body problem Authors Jaume Llibre and Luis Fernando Mello vol.100 141-149 #9107 Keywords Planar central configurations - 5-Body problem Stability criteria for hierarchical triple systems Author Nikolaos Georgakarakos vol.100 151-168 #9109 Keywords Celestial mechanics - Three body problem - Stability Secular frequencies of 3-D exoplanetary systems Authors Anne-Sophie Libert and Jacques Henrard vol.100 209-229 #9113 Keywords Extrasolar planets - 3-D three-body problem - Secular motion - Analytical expansion - Laplace plane Binary collisions and the slingshot effect Authors Amaro J. Rica da Silva and José P. S. Lemos vol.100 191-208 #9114 Keywords Binary collision - Gravity assist - Slingshot manoeuvre Position and velocity perturbations for the determination of geopotential from space geodetic measurements Author Peiliang Xu vol.100 231-249 #9117 Keywords Coordinate perturbation - Geopotential - Satellite-to-satellite tracking (SST) - Satellite Geodesy - Velocity perturbation - LEO satellites Exact analytic solution for the rotation of a rigid body having spherical ellipsoid of inertia and subjected to a constant torque Author Marcello Romano vol.100 181-189 #9112 Keywords Rigid body dynamics - Kinematics - Rotation - Integrable cases of motion - Spherical ellipsoid of inertia Metric spaces of Keplerian orbits Author Konstantin V. Kholshevnikov vol.100 169-179 #9110 Keywords Topological space - Metric space - Space of Keplerian orbits - Manifold - Embedding and imbedding in Euclidean space Periodic orbits and bifurcations in the Sitnikov four-body problem Authors P. S. Soulis, K. E. Papadakis, T. Bountis vol.100 251 - 266 #9118 Resonant dynamics of Medium Earth Orbits: space debris issues Author Alessandro Rossi vol.100 267 - 286 #9121 Analytic properties of Hansen coefficients Author Sergey Yu. Sadov vol.100 287 - 300 # 9123 Equilibria of a satellite subjected to gravitational and aerodynamic torques with pressure center in a principal plane of inertia Authors V. A. Sarychev, S. A. Mirer, A. A. Degtyarev vol.100 301 - 318 # 9126 Figure.figure interaction between bodies having arbitrary shapes and mass distributions: a power series expansion approach Author Pasquale Tricarico vol.100 319 - 330 # 9128 Book Review: Sylvio Ferraz-Mello: Canonical Perturbation Theories. Degenerate Systems and Resonance Author Alessandra Celletti vol.100 331 - 333 # 9125 Relations between integrable systems in plane and curved spaces Authors A.V. Borisov, I.S. Mamaev vol.99 253-260 # 9098 Keywords Integrable systems - Euclidean spaces Long-term evolution of orbits about a precessing oblate planet: 3. A semianalytical and a purely numerical approach Authors P.Gurfil, V.Lainey, M.Efroimsky vol. 99 261-292 # 9099 Keywords Orbital elements - Osculating elements - Mars - Natural satellites - Natural satellites. orbits - Deimos - Equinoctial precession - The Goldreich lock Seven-body central configurations: a family of central configurations in the spatial seven-body problem Authors M. Hampton, M. Santoprete vol.99 293-305 # 9102 Keywords Central configurations - Relative equilibria - N-body problem - Celestial mechanics Orbital structure of self-consistent triaxial stellar systems Author(s) R.O. Aquilano, J.C. Muzzio, H.D. Navone, A.F. Zorzi vol. 99 307-324 # 9104 Keywords Triaxial stellar systems - Figure rotation - Stellar orbits - Chaotic motion Can a globular cluster formed in the galactic disk be raised into the halo? Breaking the third integral with a bar and resonances Author K. A. Innanen vol.99 161-168 # 9096 Keywords Galaxy: kinematics & dynamics - Galaxy: resonances & third integral - Galaxy: solar neighborhood Collisional velocities and rates in resonant planetesimal belts Authors M. Queck, A. V. Krivov, M, Sremcevic and P. Thébault vol.99 169-196 # 9095 keywords Resonance - Collisions - Planetary systems - Asteroid belt - Edgeworth-Kuiper belt - Statistical methods - Trojan asteroids - Debris disks A resonant-term-based model including a nascent disk, precession, and oblateness: application to GJ 876 Author Dimitri Veras vol.99 197-243 # 9097 Keywords Resonances - Orbits - Planetary dynamics - Extrasolar planets - Protoplanetary disks - GJ 876 On derivation of EIH (Einstein.Infeld.Hoffman) equations of motion from the linearized metric of general relativity theory Author Victor Brumberg vol.99 245-252 # 9094 keywords General relativity - Variational principle - Linearized metric - Post-Newtonian celestial mechanics and astrometry - Equations of motion The manifolds of families of 3D periodic orbits associated to Sitnikov motions in the restricted three-body problem Author E. A. Perdios vol.99 85-104 # 9088 Keywords Sitnikov motions - Restricted three-body problem - Three dimensional periodic orbits - Stability Modelling natural formations of LEO satellites Authors M. Halsall and P. L. Palmer vol.99 105-127 # 9084 Keywords Formation flying - Relative motion - LEO Stability of motion in the Sitnikov 3-body problem Authors P. Soulis, T. Bountis and R. Dvorak vol.99 129-148 # 9093 Keywords Restricted 3-body Sitnikov problem - Extended and general Sitnikov problem - Stability intervals - .Islands. of bounded motion Mutual gravitational potential and torque of solid bodies via inertia integrals Author Joshua Ashenberg vol.99 149-159 # 9092 Keywords Mutual gravitational potential - Mutual gravitational torque - Inertia integrals Homographic solutions in the planar n + 1 body problem with quasi-homogeneous potentials Authors Mercedes Arribas, Antonio Elipe, Tilemahos Kalvouridis and Manuel Palacios vol.99 1-12 # 9083 Keywords Ring n-body problem - Central configurations - Homographic solutions The Lambert W function and solutions to Kepler.s equation Author Prasenjit Sengupta vol.99 13-22 # 9085 Keywords Kepler.s equation - Lambert W function - Series solution On some exceptional cases in the integrability of the three-body problem Author Alexei V. Tsygvintsev vol.99 23-29 # 9086 Keywords Meromorphic first integrals - Non-integrability - Ziglin.s lemma - Three-body problem The accelerated Kepler problem Authors F. Namouni and M. Guzzo vol.99 31-44 # 9087 Keywords Kepler problem - Stellar jets - Extrasolar planets - Stellar binaries Solving Kepler.s Equation using Bézier curves Authors Daniele Mortari and Alberto Clocchiatti vol.99 45-57 # 9089 Keywords Kepler Equation - Orbit propagation - Bézier curves An improved algorithm to compute circular functions of Poisson series Authors María del Carmen Martínez, Juan F. Navarro and José Manuel Ferrándiz vol.99 59-68 # 9090 Keywords Symbolic computation - Poisson series - Elimination method A note on lower bounds for relative equilibria in the main problem of artificial satellite theory Authors Sebastián Ferrer, Juan Félix San-Juan and Alberto Abad vol.99 69-83 # 9091 Keywords Satellite theory - Main problem - Normalization - Critical inclination - Frozen orbits - Very eccentric orbits Dynamics of a satellite orbiting a planet with an inhomogeneous gravitational field Author J. F. Palacián vol.98 Pages 219-249 # 9078 Keywords Satellite dynamics - Zonal and tesseral harmonics - Delaunay normalisation - Reduction and invariant theories - Bifurcation lines - Non-linear stability - KAM theory - Invariant tori - Quasiperiodic and periodic orbits Hubert Klahr and Wolfgang Brandner: Planet Formation: Theory, Observations, and Experiments Cambridge University Press, Cambridge 2006 (Book Review) / Author Cristian Beaugé vol.98 Pages 285-286 # 9079 The theory of canonical perturbations applied to attitude dynamics and to the Earth rotation. Osculating and nonosculating Andoyer variables Authors Michael Efroimsky and Alberto Escapa vol.98 Pages 251-283 # 9080 Keywords Earth rotation - Attitude mechanics - Attitude dynamics - Kinoshita theory of the Earth rotation - Andoyer variables - Andoyer elemets - Kinoshita.Souchay theory of the Earth rotation - Hamiltonian theory of the Earth rotation - Canonical perturbation theory - Osculation - Nonosculation - - Rigid-body rotation - Right-body dynamics - Rigid-body mechanics - Poinsot problem - Euler.Poinsot problem Report of the IAU/IAG Working Group on cartographic coordinates and rotational elements: 2006 (Special Report) Authors P. Kenneth Seidelmann, B. A. Archinal, M. F. A.hearn, A. Conrad, G. J. Consolmagno, D. Hestroffer, J. L. Hilton, G. A. Krasinsky, G. Neumann, J. Oberst, P. Stooke, E. F. Tedesco, D. J. Tholen, P. C. Thomas and I. P. Williams vol.98 Pages 155-180 # 9072 Keywords Cartographic coordinates - Rotation axes - Rotation periods - Sizes - Shapes - Planets - Satellites - Minor planets - Comets Quasi-satellites of Jupiter Authors Hiroshi Kinoshita and Hiroshi Nakai vol.98 Pages 181-189 # 9074 Keywords Quasi-satellite - 1:1 mean motion resonance - Jupiter family come A method of symplectic integrations with adaptive time-steps for individual Hamiltonians in the planetary N -body problem Author Vacheslav Vasilievitch Emel.yanenko vol.98 Pages 191-202 # 9077 Keywords Symplectic integration - Adaptive integrators - N-body simulations N-observations and radar orbits Author Leif Kahl Kristensen vol.98 Pages 203-215 # 9081 Keywords Asteroids - Orbit determination - Data reduction techniques - Linking Erratum to .Periodic orbits of the planar collision restricted 3-body problem. Authors Jaume Llibre and Daniel Pasca vol.98 Page 217 # 9082 Dynamics of a particle in a gravitational field of a homogeneous annulus disk Authors Angelo Alberti and Claudio Vidal vol.98 Pages 75-93 # 9071 Keywords Gravitational attraction of a particle by a homogeneous annulus disk - Symmetries - Dynamics - Circular Solutions Generalized Laplace coefficients and Newcomb derivatives Author Maurizio M. D.Eliseo vol.98 Pages 145-154 # 9068 Keywords Generalized coefficients - Expansions - Derivatives - Newcomb derivatives - Laplace coefficients Lie group variational integrators for the full body problem in orbital mechanics Authors Taeyoung Lee, Melvin Leok and N. Harris McClamroch vol.98 Pages 121-144 # 9073 Keywords Symplectic integrator - Variational integrator - Lie group method - Full rigid body problem The rectilinear three-body problem using symbol sequence I. Role of triple collision Authors Masaya Masayoshi Saito and Kiyotaka Tanikawa vol.98 Pages 95-120 # 9070 Keywords Three-body problem - Symbolic dynamics - Structure on a Poincaré section André Deprit 1926.2006 Author Jacques Henrard vol.98 Pages 1-3 # 9076 Dynamics of two satellites in the 2/1 Mean.Motion resonance: application to the case of Enceladus and Dione Authors N. Callegari and T. Yokoyama vol.98 Pages 5-30 # 9066 Keywords Enceladus - Dione - Mean.Motion resonance - Periodic orbits - Regular and chaotic motion - Secondary resonance - Saturn Approximate analysis for relative motion of satellite formation flying in elliptical orbits Authors Fanghua Jiang, Junfeng Li and Hexi Baoyin vol.98 Pages 31-66 # 9067 Keywords Formation flying - Taylor expansion - Periodicity condition - Trigonometric series - Elliptical orbit General solution of the Kozai mechanism Authors Hiroshi Kinoshita and Hiroshi Nakai vol.98 Pages 67-74 # 9069 Keywords Kozai mechanism - Analytical solution - Asteroid Kozai (3040) - Natural satellite S2002N3 Quasiintegrals of the photogravitational eccentric restricted three-body problem with Poynting.Robertson drag Author G. F. Ch\"orny # 9058 vol.97 Pages 229-248 Keywords Dust particles - Radiation - Motion integrals - Comets Anisotropic distribution functions for spherical galaxies Authors Zhenglu Jiang and Leonid Ossipkov vol.97 Pages 249-265 # 9062 Keywords Celestial mechanics - Stellar dynamics - Galaxies Investigation of equilibria of a satellite subjected to gravitational and aerodynamic torques Authors V. A. Sarychev, S. A. Mirer, A. A. Degtyarev and E. K. Duarte vol.97 Pages 267-287 # 9064 Keywords Satellite - Attitude motion - Gravitational torque - Aerodynamic torque - Equilibrium orientation - Conditions of stability Orbit determination of space debris: admissible regions Authors G. Tommei, A. Milani and A. Rossi # 9065 vol.97 Pages 289-304 Keywords Space debris - Orbit determination - Admissible region An exact solution to determination of an open orbit Author Hideki Asada vol.97 Pages 151-164 # 9057 Keywords Astrometry - Celestial mechanics - Orbit determination ISA accelerometer onboard the Mercury Planetary Orbiter: error budget Authors Valerio Iafolla, David M. Lucchesi, Sergio Nozzoli and Francesco Santoli vol.97 Pages 165-187 # 9059 Keywords Solar system - Mercury - Accelerometers - Artificial satellites - Perturbations - Gravimetry - General relativity Precession/nutation solution consistent with the general planetary theory Authors V. A. Brumberg and T. V. Ivanova vol.97 Pages 189-210 # 9060 Keywords Earth.s rotation theory - Euler parameters - Secular system - General planetary theory Saari.s conjecture for the restricted three-body problem Authors G. E. Roberts and L. Melanson vol.97 Pages 211-223 # 9061 Keywords Celestial mechanics - Restricted three-body problem - Saari.s conjecture - BKK theory R. Dvorak, F. Freistetter and J. Kurths (eds): Chaos and stability in planetary systems Lecture Notes in Physics, Springer 2005 (Book Review) Author John D. Hadjidemetriou vol.97 Pages 225-227 # 9063 Evolutionary principles applied to mission planning problems Authors Bruce A. Conway, Christian M. Chilan and Bradley J. Wall vol.97 Pages 73-86 # 9052 Keywords Mission planning - Trajectory optimization - Evolutionary methods - Genetic algorithms A note on weak stability boundaries Authors F. Garc\'ia and G. G\'omez vol.97 Pages 87-100 # 9053 Keywords Weak stability boundaries - Invariant manifolds - Libration points Second-order state transition for relative motion near perturbed, elliptic orbits Authors Prasenjit Sengupta, Srinivas R. Vadali and Kyle T. Alfriend vol.97 Pages 101-129 # 9054 Keywords Formation flight - Nonlinear relative motion - State transition - Nonsingular elements A special perturbation method in orbital dynamics Authors Jesús Peláez, Jos\'e Manuel Hedo and Pedro Rodríguez de Andrés vol.97 Pages 131-150 # 9056 Keywords Special perturbations - Orbital dynamics - Numerical methods - Propagation of orbits Continuity and stability of families of figure eight orbits with finite angular momentum Author Michael Nauenberg vol.97 Pages 1-15 # 9044 Keywords Figure-eight orbits - N-body problem Continuation of normal doubly symmetric orbits in conservative reversible systems Authors Francisco Javier Mu\~noz-Almaraz, Emilio Freire, Jorge Galan-Vioque and Andre Vanderbauwhede vol.97 Pages 17-47 # 9048 Keywords Hamiltonian and conservative systems - Time-reversibility - Normal doubly symmetric solutions - Periodic solutions - Numerical continuation - Boundary value problem - N-body problem Strands and braids in narrow planetary rings: a scattering system approach Authors Olivier Merlo and Luis Benet vol.97 Pages 49-72 # 9051 Keywords Narrow planetary rings - Scattering systems - Strands - Braids 2012=112-113-114 2011=109-110-111 2010=106-107-108 2009=103-104-105 2008=100-101-102 2007=97-98-99