Oblateness and mass variation effects on the Hill R4BP Abdullah

Abstract

The oblateness and mass variation effects are studied in the circular Hill restricted 4-body problem (R4BP). Here we assume two bodies as oblate in shape and third one as spherical in shape, these three bodies are at the vertices of a triangle. The 4th infinitesimal body varies its mass and moving under the perturbed gravitational forces in the plane of primaries. With these perturbations, we evaluate the equations of motion and quasi-jacobian integral using specific scales and transformations. Finally, the numerical presentations are given such as stationary points, regions of motion, surfaces of section, periodic orbits and basins of convergence. 2010 MSC: 00-01, 99-00