Yarkovsky effect in Generalized Photogravitational 3-Bodies Problem

TL;DR

This paper extends the photogravitational restricted 3-bodies problem by incorporating the Yarkovsky effect, analyzing equilibrium points, and proving the existence of up to 256 non-planar libration points under these conditions.

Contribution

It introduces a generalized model including the Yarkovsky effect and proves the existence of multiple non-planar libration points in this extended framework.

Findings

Up to 256 non-planar libration points exist with Yarkovsky effect.

The model accounts for anisotropic re-emission of energy from the Sun.

Equilibrium points are analyzed for non-oblate secondary bodies.

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.