Book contents
- Frontmatter
- Dedication
- Contents
- Preface
- Part One Tour, Problem, And Structures
- Part Two The Questions
- 1 Are the Central Configurations Finite?
- 2 Are There Any Stable Periodic Orbits?
- 3 Is Every Braid Realized?
- 4 Does a Scattered Beam Have a Dense Image?
- Appendices
- Appendix A Geometric Mechanics
- Appendix B Reduction and Poisson Brackets
- Appendix C The Three-Body Problem and the Shape Sphere
- Appendix D The Orthogonal Group and Its Lie Algebra
- Appendix E Braids, Homotopy, and Homology
- Appendix F The Jacobi–Maupertuis Metric
- Appendix G Regularizing Binary Collisions
- Appendix H One Degree of Freedom and Central Scattering
- References
- Index
1 - Are the Central Configurations Finite?
from Part Two - The Questions
Published online by Cambridge University Press: 12 December 2024
- Frontmatter
- Dedication
- Contents
- Preface
- Part One Tour, Problem, And Structures
- Part Two The Questions
- 1 Are the Central Configurations Finite?
- 2 Are There Any Stable Periodic Orbits?
- 3 Is Every Braid Realized?
- 4 Does a Scattered Beam Have a Dense Image?
- Appendices
- Appendix A Geometric Mechanics
- Appendix B Reduction and Poisson Brackets
- Appendix C The Three-Body Problem and the Shape Sphere
- Appendix D The Orthogonal Group and Its Lie Algebra
- Appendix E Braids, Homotopy, and Homology
- Appendix F The Jacobi–Maupertuis Metric
- Appendix G Regularizing Binary Collisions
- Appendix H One Degree of Freedom and Central Scattering
- References
- Index
Summary

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- Four Open Questions for the N-Body Problem , pp. 75 - 100Publisher: Cambridge University PressPrint publication year: 2024