Motion properties of the variable mass smallest body in cyclic kite configuration with kerr-like oblate heterogeneous primaries

Abstract

The aim of this paper is to motion of the smallest body in the 5-body problem where 4 bodies construct the cyclic kite configuration. Out of five bodies four bodies are placed at the vertices of a cyclic kite and the shapes of these bodies are considered as oblate heterogeneous with the supposition that these bodies are spinning around their own axes. It is also supposed that the smallest and fifth body is varying its mass according to Jeans law. The motion of smallest body is also affected by the coriolis and centrifugal forces. The equations of motion are determined under the above said perturbations. And then we numerically illustrated the locations of fixed points, their stability, the zero-velocity surfaces with projections and Poincare surfaces of section.