广义光引力三体问题中的Yarkovsky效应
Yarkovsky effect in Generalized Photogravitational 3-Bodies Problem
摘要：
本文将光引力限制性三体问题推广到Yarkovsky效应影响的情形，Yarkovsky效应是空间中小天体附加无穷小加速度的原因（由于从太阳和其他恒星源吸收的能量的各向异性再发射）。小行星被认为是在来自两个大质量天体（它们在开普勒轨道上绕着共同的质心旋转）的引力的影响下移动，以及在来自两个主恒星的光压力的影响下移动。通过对常微分方程运动系统的分析，探讨了小天体（小行星）在第二主星为非扁球体情况下平衡点的张紧性。在这种情况下，证明了在考虑小的Yarkovsky效应时，广义光引力限制性三体问题最多存在256个不同的非平面平动点.
英文摘要：
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.
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