Out-of-plane equilibria in the restricted five-body problem with radiation pressure

IF 0.2
A. Vincent
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引用次数: 0

Abstract

The photogravitational restricted five-body problem is employed to describe the motion of an infinitesimal test particle in the special case where two of the primaries are radiation sources. The four primaries mi, i = 0, , 3 three of which have equal masses (m1 = m2 = m3 = m) are located at the vertices of an equilateral triangle, while the fourth one with a different mass m0 is located at the centre of this configuration (Ollongren's configuration). The fifth body of negligible mass moves in the resultant force field of the primaries and does not affect the motion of the four bodies (primaries). We consider that the central primary body m0 and one of the peripheral bodies m1 are radiation sources. The equilibrium points lying out of the orbital plane of the primaries as well as the allowed regions of motion as determined by the zero velocity curves are studied numerically. Finally, the stability of these points is also examined.
带辐射压力的受限五体问题的面外平衡
用光引力限制五体问题描述了在两个原色粒子为辐射源的特殊情况下,一个无限小测试粒子的运动。四个质点mi, i = 0,3其中三个质点相等(m1 = m2 = m3 = m)位于等边三角形的顶点,而质量不同的第四个质点m0位于等边三角形的中心(Ollongren的质点)。第5个质量可忽略不计的物体在初级物体的合力场中运动,不影响四个物体(初级物体)的运动。我们认为主要的中心物体m0和一个外围物体m1是辐射源。用数值方法研究了初等星轨道平面外的平衡点和由零速度曲线确定的允许运动区域。最后,对这些点的稳定性进行了检验。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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CiteScore
1.00
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2
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