Topology of the Two Fixed Centers Problem

Details Topology of the Two Fixed Centers Problem Topology of the Two Fixed Centers Problem

Feb 2002

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2002cemda..82..203c&link_type=abstract

Celestial Mechanics and Dynamical Astronomy, v. 82, Issue 2, p. 203-223 (2002).

Astronomy and Astrophysics

Astronomy

2

Periodic Orbits, Links, Two Fixed Centers Problem, Restricted Three-Body Problem, Periodic Orbits, Links, Two Fixed Centers Problem, Restricted Three-Body Problem

Scientific paper

In this paper we give a complete topological characterization of the Two Fixed Centers (TFC) problem flow. This characterization is based on the link formed by some basic periodic orbits. The Restricted Circular Three-Body (RCTB) problem is considered as a perturbation of the TFC in the case of two primaries with equal masses. The basic periodic orbits of the integrable problem can be continued in the non-integrable one.

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