Dedication

pp v-vi

Contents

pp vii-x

Preface

pp xi-xiv

Part One - Tour, Problem, And Structures

pp 1-2

-1 - A Tour of Solutions

pp 3-22

0 - The Problem and Its Structure

pp 23-72

Part Two - The Questions

pp 73-74

1 - Are the Central Configurations Finite?

pp 75-100

2 - Are There Any Stable Periodic Orbits?

pp 101-137

3 - Is Every Braid Realized?

pp 138-195

4 - Does a Scattered Beam Have a Dense Image?

pp 196-214

Appendices

pp 215-216

Appendix A - Geometric Mechanics

pp 217-227

Appendix B - Reduction and Poisson Brackets

pp 228-241

Appendix C - The Three-Body Problem and the Shape Sphere

pp 242-261

Appendix D - The Orthogonal Group and Its Lie Algebra

pp 262-263

Appendix E - Braids, Homotopy, and Homology

pp 264-266

Appendix F - The Jacobi–Maupertuis Metric

pp 267-270

Appendix G - Regularizing Binary Collisions

pp 271-275

Appendix H - One Degree of Freedom and Central Scattering

pp 276-284

References

pp 285-295

Index

pp 296-298