Back to matchesWe found a matchYour institution may have access to this item. Find your institution then sign in to continue.TitlePeriodic orbits of the two fixed centers problem with a variational gravitational field.AuthorsGao, Fabao; Llibre, JaumeAbstractWe 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.SubjectsTHREE-body problem; ORBITS (Astronomy); GRAVITATIONAL fields; KEPLER problem; AVERAGING method (Differential equations)PublicationCelestial Mechanics & Dynamical Astronomy, 2020, Vol 132, Issue 6/7, pN.PAGISSN0923-2958Publication typeArticleDOI10.1007/s10569-020-09979-z