Keplerian periodic orbits in the isosceles problem

Details Keplerian periodic orbits in the isosceles problem Keplerian periodic orbits in the isosceles problem

Sep 1999

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1999cemda..75...17a&link_type=abstract

Celestial Mechanics and Dynamical Astronomy, v. 75, Issue 1, p. 17-27 (1999).

Astronomy and Astrophysics

Astronomy

Isosceles Three-Body Problem, Periodic Orbits, Analytic Continuation

Scientific paper

The planar isosceles three-body problem where the two symmetric bodies have small masses is considered as a perturbation of the Kepler problem. We prove that the circular orbits can be continued to saddle orbits of the Isosceles problem. This continuation is not possible in the elliptic case. Their perturbed orbits tend to a continued circular one or approach a triple collision. The basic tool used is the study of the Poincaré maps associated with the periodic solutions.

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