Semi-analytical findings for rotational trapped motion of satellite in the vicinity of collinear points {L1, L2} in planar ER3BP

摘要

Abstract A novel approach for solving equations of the rotational dynamics of finite-sized satellite in the vicinity of collinear points {L1, L2} for the elliptic restricted problem of three bodies, ER3BP is presented in this work. We consider two primaries, MSun and mplanet (the last is secondary in that binary system), both are orbiting around their barycenter on elliptic orbits. Case of collinear point L3 should be investigated additionally in future works. Our aim is to revisit previously presented in work (Ashenberg: J Guid Control Dyn 19(1):68–74, 1996) approach and to investigate the updated type of the dynamics of satellite rotation correlated implicitly to its motion (in the synodic co-rotating Cartesian coordinate system) in so way that it will always be located near the secondary planet, mplanet, moving in this motion in the vicinity of collinear points {L1, L2} on quasi-stable elliptic orbit.