An Introduction to Celestial Mechanics
@inproceedings{Fitzpatrick2012AnIT,
title={An Introduction to Celestial Mechanics},
author={Richard Fitzpatrick},
year={2012}
}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.
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References
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The third (mostly) excluded topic is astrodynamics: the application of Newtonian dynamics to the design and analysis of orbits for artificial satellites and space probes
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The fact that so many celebrated mathematicians
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