## Dynamics of Natural and Artificial Celestial Bodies: Proceedings of the US/European Celestial Mechanics Workshop, held in Poznań, Poland, 3–7 July 2000Halina Pretka-Ziomek, Edwin Wnuk, P. Kenneth Seidelmann, David Richardson This volume contains papers presented at the US/European Celestial Mecha nics Workshop organized by the Astronomical Observatory of Adam Mickiewicz University in Poznan, Poland and held in Poznan, from 3 to 7 July 2000. The purpose of the workshop was to identify future research in celestial mech anics and encourage collaboration among scientists from eastem and westem coun tries. There was a full program of invited and contributed presentations on selected subjects and each day ended with a discussion period on a general subject in celestial mechanics. The discussion topics and the leaders were: Resonances and Chaos-A. Morbidelli; Artificial Satellite Orbits-K. T. Alfriend; Near Earth Ob jects - K. Muinonen; Small Solar System Bodies - I. Williams; and Summary - P. K. Seidelmann. The goal of the discussions was to identify what we did not know and how we might further our knowledge. The size of the meeting and the language differences somewhat limited the real discussion, but, due to the excellence of the different discussion leaders, each of these sessions was very interesting and productive. Celestial Mechanics and Astrometry are both small fields within the general subject of Astronomy. There is also an overlap and relationship between these fields and Astrodynamics. The amount of interaction depends on the interest and efforts of individual scientists. |

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### Contents

i | |

W S KOON M W LO J E MARSDEN and S D ROSS Resonance | 26 |

F MONDEJAR A VIGUERAS and S FERRER Symmetries Reduction | 45 |

W S KOON M W LO J E MARSDEN and S D ROSS Low Energy | 63 |

S BREITER Lunisolar Resonances Revisited 8191 | 81 |

P WILLIAMS The Dynamics of Meteoroid Streams 103113 | 103 |

BENET Occurrence of Planetary Rings with Shepherds 123128 | 123 |

VOKROUHLICKY S R CHESLEY and A MILANIOn the Observability | 149 |

H UMEHARA Selfsimilar Structure Induced by Linear Threebody | 265 |

G MICHALAKDetermination of Masses of Six Asteroids from Close Asteroid | 281 |

J A M FERNANDEZ A F GARCIA and J P ERADE Predictions Obser | 295 |

Distribution of Orbital | 320 |

KOCHETOVA Determination of Mass of Jupiter and That of Some | 333 |

J KLACKA and M GAJDOSIKOrbital Motion in Outer Solar System 347349 | 347 |

NESLUSANA Sketch of an OrbitalMomentumBased Criterion of Diver | 365 |

K KURZYNSKA and A GABRYSZEWSKAInfluence of the Local Tropo | 385 |

MUZZIO M M VERGNE F C WACHLIN and D D CARPINTERO | 166 |

General Problems of Celestial Mechanics | 177 |

J E ARLOT W THUILLOT and Ch RUATTIMutual Events of the Saturnian | 193 |

P BIDART MPP01 a New Solution for Moons Planetary Perturbations | 207 |

A AVDYUSHEV and T V BORDOVITSYNA Algorithms of the Numer | 222 |

E BYKOVA and T Y GALUSHINA NearEarth Asteroids Close to Mean | 241 |

K GOZDZIEWSKI Lyapunov Stability of the Lagrangian Libration Points | 259 |

NAZARENKO and V YURASOV Semianalytical Models of Satellites | 401 |

G B PALMERINI Coordinated Orbital Control for Satellite Constellations | 415 |

H UMEHARA An Optical Scanning Search for GEO Debris 429431 | 429 |

Stellar and Galactic Dynamics | 437 |

A TSVETKOV and M BABADJANIANTS Constructing of the Stellar | 453 |

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### Common terms and phrases

2001 Kluwer Academic accuracy al./Dynamics of Natural albedo algorithm analytical angular momentum approximation Artificial Celestial Bodies asteroids Astr astrometry Astron Astronomical atmosphere calculated Celestial Mechanics chaotic close encounters collision probability comets components computed considered dynamics Earth eccentricity ellipsoid elliptic equations of motion equilibria errors evolution Figure frame frequency Froeschlé function gravitational gyrostat Hamiltonian system Icarus inclination initial conditions interval invariant manifold Jupiter Keplerian Klačka Kluwer Academic Publishers libration linear longitude Lyapunov mass mean anomaly mean motion mean motion resonances Mech meteor meteoroids method Milani minor planets Moon Natural and Artificial objects observations Observatory obtained orbital elements parameters perihelion periodic orbits perturbations phase space planetary potential Poznań Pretka-Ziomek et al./Dynamics problem radiation region resonance rigid body rotation satellite semimajor axis simulations Solar System solution spacecraft stability theory trajectory triaxial unstable manifold values variables vector velocity WTZD Yarkovsky effect