Locations of the out-of-plane equilibrium points for different binaries

Abstract

This paper locates the Lagrangian points found on the out-of-orbital plane of motion which are called out-of-plane libration points(OLPs). The study is carried out using the model of the circular restricted three-body problem (CR3BP) when the main bodies are assumed as oblate-radiating spheroids and radiating bodies. Two pairs of OEPs L_6,7 and L_8,9 have been obtained using semi-analytical and numerical means, respectively. A comparison was made between the two methods and it is seen that the locations of the OEPs deviate slightly when applied to five binary systems (Lalande 21258, BD+195116, Ross 614, 70 Ophiuchi and 61 Cygni).