光引力限制性三体问题的平动点*
The Libration Points in Photogravltational Restricted Three-Body Problem
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摘要: 本文研究两个主星体的质量缩减因子q1,q2∈[-∞,1]的光引力限制性三体问题。文中给出一种平动点的个数估计和位置计算的分析方法。结果表明对于不同的q1和q2可有1~7个平动点。作为应用,文末还讨论了太阳系类似彗尾尘埃物质的运动。Abstract: The photogravitational restricted three-body problem in which the mass reduction factors of two primaries q1, q2 [-∞, 1] are studied and an analytic method to estimate the number of libration points and to calculate their location is given in this paper. The results show that in photogravitational restricted three-body problem, the number of libration points is from one to seven for different q1 and q2. As application, the motion of dust grain like comet tail in the solar system is also discussed.
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Key words:
- photogravitation /
- mass reduction factor /
- libration point
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