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 , force ratio  and mass-ratio parameter  on the location, zero-velocity curves and instability of the out-of- plane libration points in the frame work of the CRTBP . A symmetrical out-of-plane libration points are identified numerically on the  and the three system’s parameters, that is and , 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.