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

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.

References in corpus (2)

• Three Classes of Newtonian Three-Body Planar Periodic Orbits
• Investigating the planar circular restricted three-body problem with strong gravitational field