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arXiv · 2008.02061

Periodic orbits of the two fixed centers problem with a variational gravitational field

Fabao Gao·Jaume Llibre
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Abstract

We prove the existence of periodic orbits of the two fixed centers problem bifurcating from the Kepler problem. We provide the analytical expressions of these periodic orbits when the mass parameter of the system is sufficiently small.

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Fabao Gao, Jaume Llibre. 2020-08-05. Periodic orbits of the two fixed centers problem with a variational gravitational field. https://doi.org/10.1007/s10569-020-09979-z

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