## Celestial Mechanics and Astrodynamics: Theory and PracticeThis volume is designed as an introductory text and reference book for graduate students, researchers and practitioners in the fields of astronomy, astrodynamics, satellite systems, space sciences and astrophysics. The purpose of the book is to emphasize the similarities between celestial mechanics and astrodynamics, and to present recent advances in these two fields so that the reader can understand the inter-relations and mutual influences. The juxtaposition of celestial mechanics and astrodynamics is a unique approach that is expected to be a refreshing attempt to discuss both the mechanics of space flight and the dynamics of celestial objects. “Celestial Mechanics and Astrodynamics: Theory and Practice” also presents the main challenges and future prospects for the two fields in an elaborate, comprehensive and rigorous manner. The book presents homogenous and fluent discussions of the key problems, rendering a portrayal of recent advances in the field together with some basic concepts and essential infrastructure in orbital mechanics. The text contains introductory material followed by a gradual development of ideas interweaved to yield a coherent presentation of advanced topics. |

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### Contents

1 | |

25 | |

3 Reference Systems and Relativity | 45 |

4 Central Force Motion | 79 |

5 The TwoBody Problem | 95 |

6 Orbit Determination | 120 |

7 The nBody Problem | 143 |

8 The Restricted ThreeBody Problem | 163 |

12 Motion Around Oblate Planets | 299 |

13 Semianalytical Orbit Theory | 327 |

14 Satellite Orbit Control | 368 |

15 Optimal Impulsive Orbit Transfers | 411 |

16 Orbit Data Processing | 441 |

17 Space Debris | 488 |

18 People Progress Prospects | 501 |

Bibliography | 513 |

### Other editions - View all

Celestial Mechanics and Astrodynamics: Theory and Practice Pini Gurfil,P. Kenneth Seidelmann No preview available - 2016 |

### Common terms and phrases

angle angular momentum approximation areal velocity argument of perigee artificial satellite Astrodynamics Astron astronomical barycentric bi-elliptic transfer bi-parabolic transfer Brouwer calculated Celestial Mechanics center of mass circular orbit coefficients constant coordinate system cos2 cosi debris defined denoted determined differential distance dynamical Earth eccentricity ellipse equations of motion equatorial equinox error exoplanets function geocentric given gravitational Gurfil Hamiltonian impulse inclination initial conditions integration Kepler’s Keplerian Lagrangian points longitude maneuver McCuskey mean elements Mechanics and Astrodynamics method modified Hohmann transfer node observations obtained orbital elements orbital plane osculating orbit parameters period perturbations planet planetary polynomial precession radial radius vector reference system reproduced from Urban respect right ascension rmax rmin rotation Sect Seidelmann 2012 semimajor axis shown in Fig sin2 solar system solution space spacecraft star Table theory three-body problem transformation true anomaly two-body problem unit vectors Urban and Seidelmann values variables zero