Periodic Orbits of the Planar Anisotropic Kepler Problem
نویسندگان
چکیده
In this paper we prove that at every energy level the anisotropic problem with small anisotropy has two periodic orbits which bifurcate from elliptic orbits of the Kepler problem with high eccentricity. Moreover we provide approximate analytic expressions for these periodic orbits. The tool for proving this result is the averaging theory.
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عنوان ژورنال:
- I. J. Bifurcation and Chaos
دوره 27 شماره
صفحات -
تاریخ انتشار 2017