Periodic orbits of the two fixed centers problem with a variational gravitational field. (arXiv:2008.02061v1 [nlin.CD])

Periodic orbits of the two fixed centers problem with a variational gravitational field. (arXiv:2008.02061v1 [nlin.CD])
<a href="http://arxiv.org/find/nlin/1/au:+Gao_F/0/1/0/all/0/1">Fabao Gao</a>, <a href="http://arxiv.org/find/nlin/1/au:+Llibre_J/0/1/0/all/0/1">Jaume Llibre</a>

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.

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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