IJPAM: Volume 78, No. 3 (2012)

YARKOVSKY EFFECT IN MODIFIED
PHOTOGRAVITATIONAL 3-BODIES PROBLEM

Sergey V. Ershkov
Institute for Time Nature Explorations
M.V. Lomonosov's Moscow State University
Leninskie Gory, 1-12, Moscow, 119991, RUSSIA


Abstract. Here is presented a generalization of photogravitational restricted 3-bodies problem to the case of influence of Yarkovsky effect or YORP-effect, which are 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's 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 libration 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 equilibrium points in modified photogravitational restricted 3-bodies problem when we take into consideration even a small Yarkovsky effect (YORP-effect).

Received: February 4, 2012

AMS Subject Classification: 70F15, 70F07

Key Words and Phrases: Yarkovsky effect, YORP-effect, photogravitational restricted three body problem, stability, equilibrium points, libration points, oblateness

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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2012
Volume: 78
Issue: 3