Yarkovsky effect in Generalized Photogravitational 3-Bodies Problem

Abstract

Here is presented a generalization of photogravitational restricted 3-bodies problem to the case of influence of Yarkovsky effect, which is known as reason of additional infinitesimal acceleration of a small bodies in the space (due to anisotropic re-emission of absorbed energy from the sun, other stellar sources). Asteroid is supposed to move under the influence of gravitational forces from 2 massive bodies (which are rotating around their common centre of masses on Kepler trajectories), as well under the influence of pressure of light from both the primaries. Analyzing the ODE system of motion, we explore the existense of equilibrium points for a small body (asteroid) in the case when the 2-nd primary is non-oblate spheroid. In such a case, it is proved the existence of maximally 256 different non-planar libration points in generalized photogravitational restricted 3-bodies problem when we take into consideration even a small Yarkovsky effect.