Impact of Radiation Pressure on the Out-of-Plane Libration Points in The Restricted Three-Body Problem with Rotating Mass Dipole Effect

Abstract

This paper investigates the impact of radiation pressure of the primary body on a third body in the vicinity of the out-of-plane libration points of the restricted problem of three bodies under a rotating mass dipole effect. It studies the impact of radiation factor (q1), force ratio (k) and mass-ratio parameter (𝜇) on the location, zero-velocity curves and instability of the out-of-plane libration points in the framework of the CRTBP. A symmetrical out-of-plane libration points are identified numerically on the xz-plane and the three system’s parameters, that is q1, k and 𝜇, are found to have impact on the positions of these points. In addition, the force ratio and radiation factor have significant effect on the configuration of the zero-velocity contours. The linear stability of the points for a broad scope of the parameters’ combinations was investigated, and it is found that the out-of-plane libration points are generally points of instability.