Keplerian periodic orbits in the isosceles problem |
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Authors: | Martínez Alfaro C Chiralt Monleón |
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Institution: | (1) Department Matemàtica Aplicada, Facultat de Matemàtiques, Universitat de Vàlencia, Spain;(2) Department Matemàtiques, Universitat Jaume I, Castelló, 12071 |
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Abstract: | 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.
This revised version was published online in July 2006 with corrections to the Cover Date. |
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Keywords: | isosceles three-body problem periodic orbits analytic continuation |
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