
- English
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An Introduction to Celestial Mechanics
About this book
This accessible text on classical celestial mechanics, the principles governing the motions of bodies in the Solar System, provides a clear and concise treatment of virtually all of the major features of solar system dynamics. Building on advanced topics in classical mechanics such as rigid body rotation, Langrangian mechanics and orbital perturbation theory, this text has been written for advanced undergraduates and beginning graduate students in astronomy, physics, mathematics and related fields. Specific topics covered include Keplerian orbits, the perihelion precession of the planets, tidal interactions between the Earth, Moon and Sun, the Roche radius, the stability of Lagrange points in the three-body problem and lunar motion. More than 100 exercises allow students to gauge their understanding and a solutions manual is available to instructors. Suitable for a first course in celestial mechanics, this text is the ideal bridge to higher level treatments.
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Information
Table of contents
- Cover
- An Introduction to Celestial Mechanics
- Title
- Copyright
- Contents
- Preface
- 1: Newtonian mechanics
- 2: Newtonian gravity
- 3: Keplerian orbits
- 4: Orbits in central force fields
- 5: Rotating reference frames
- 6 Lagrangian mechanics
- 7: Rigid body rotation
- 8: Three-body problem
- 9: Secular perturbation theory
- 10: Lunar motion
- Appendix A: Useful mathematics
- Appendix B: Derivation of Lagrange planetary equations
- Appendix C: Expansion of orbital evolution equations
- Bibliography
- Index