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Periodic Orbits: F. R. Moulton’s Quest for a New Lunar Theory
About this Title
Craig A. Stephenson
Publication: History of Mathematics
Publication Year:
2021; Volume 45
ISBNs: 978-1-4704-5671-9 (print); 978-1-4704-6508-7 (online)
DOI: https://doi.org/10.1090/hmath/045
Table of Contents
Front/Back Matter
Chapters
- Introduction
- The three-body problem and its first periodic solutions
- Hill’s variational orbit
- Poincaré’s research on periodic orbits
- Darwin’s numerical search for periodic orbits
- Forest Ray Moulton
- Moulton’s mathematical methods
- Oscillating satellites
- A new lunar theory
- Moulton’s Periodic Orbits
- Epilogue
- Appendix A. Moulton’s doctoral students
- Appendix B. Letters
- Appendix C. The Moulton plane
- Appendix D. Glossary