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Qualitative analysis of the anisotropic Kepler problem

About this Title

Josefina Casasayas and Jaume Llibre

Publication: Memoirs of the American Mathematical Society
Publication Year: 1984; Volume 52, Number 312
ISBNs: 978-0-8218-2309-5 (print); 978-1-4704-0725-4 (online)
DOI: https://doi.org/10.1090/memo/0312
MathSciNet review: 764318
MSC: Primary 58F40; Secondary 34C05, 58F05, 70F35

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Table of Contents

Chapters

  • I. The Kepler problem
  • II. The anisotropic Kepler problem
  • III. The flow for non-negative energy levels
  • IV. The flow on negative energy levels when $\mu > 9/8$
  • V. The flow on negative energy levels when $1 < \mu \le 9/8$
  • VI. Symmetric periodic orbits
  • Appendix