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Chapter IX. Generating arc solutions from C̅1C̅1

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The Restricted 3-Body Problem: Plane Periodic Orbits
This chapter is in the book The Restricted 3-Body Problem: Plane Periodic Orbits
© 2011 Walter de Gruyter GmbH & Co. KG, Genthiner Str. 13, 10785 Berlin.

© 2011 Walter de Gruyter GmbH & Co. KG, Genthiner Str. 13, 10785 Berlin.

Chapters in this book

  1. Frontmatter I
  2. Introduction 1
  3. Part I. Mathematical means
  4. Chapter I. The normal form of a Hamiltonian system 13
  5. Chapter II. Normalization of a Hamiltonian system near a cycle or a torus 54
  6. Part II. Solutions of the limiting problem (μ = 0)
  7. Chapter III. Periodic solutions and arc solutions 95
  8. Chapter IV. Properties of arc solutions of the families S and ΤN 133
  9. Chapter V. Extrema of the Hamiltonian function on families of arc solutions 178
  10. Chapter VI. Trajectories of collisions 194
  11. Part III. Regular generating solutions
  12. Chapter VII. Solutions of the second kind 235
  13. Chapter VIII. Solutions of the first kind 266
  14. Chapter IX. Generating arc solutions from C̅1C̅1 298
  15. Chapter Χ. Perturbations of hyperbolic orbits 317
  16. Appendix. Tables of generating families and their perturbations 327
  17. Bibliography 347
  18. Author index 357
  19. Subject index 359
https://doi.org/10.1515/9783110901733.298

Chapters in this book

  1. Frontmatter I
  2. Introduction 1
  3. Part I. Mathematical means
  4. Chapter I. The normal form of a Hamiltonian system 13
  5. Chapter II. Normalization of a Hamiltonian system near a cycle or a torus 54
  6. Part II. Solutions of the limiting problem (μ = 0)
  7. Chapter III. Periodic solutions and arc solutions 95
  8. Chapter IV. Properties of arc solutions of the families S and ΤN 133
  9. Chapter V. Extrema of the Hamiltonian function on families of arc solutions 178
  10. Chapter VI. Trajectories of collisions 194
  11. Part III. Regular generating solutions
  12. Chapter VII. Solutions of the second kind 235
  13. Chapter VIII. Solutions of the first kind 266
  14. Chapter IX. Generating arc solutions from C̅1C̅1 298
  15. Chapter Χ. Perturbations of hyperbolic orbits 317
  16. Appendix. Tables of generating families and their perturbations 327
  17. Bibliography 347
  18. Author index 357
  19. Subject index 359
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