光引力限制性三体问题的平动点<sup>*</sup>

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光引力限制性三体问题的平动点^*

基金项目: * 国家自然科学基金

1.
Dept. of Applied Physics, Nanjing University of Science and Technology, Nanjing;
2.
Yunnan Observatory, Academia Sinica, Kunming

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。
- 光引力 /
- 质量缩减因子 /
- 平动点
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.
- photogravitation /
- mass reduction factor /
- libration point

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