Elliptic restricted synchronous three-body problem (ERS3BP) with a mass dipole model

Abstract

The goal of the present manuscript is to determine the points of libration and their linear stability in the elliptic restricted synchronous three-body problem with a mass dipole model. The dipole system consists of two-point masses connected with a massless rod in a constant characteristic distance. To execute this study, we acquire the equations of motion of a spacecraft having negligible mass travelling in the system in which more massive primary is assumed to have a spherical shape, and the lesser one is irregular shaped and considered as a rotating mass dipole. The locations of the libration points are analyzed for various values of e, where e is the eccentricity of the orbit of one massive primary around other. Also, the stability of the libration points is investigated in linear sense, and it is observed that the collinear libration points are unstable while the non-collinear libration points are stable for the critical mass parameter μc. Further, we investigated the regions of motion around libration points.