三体一般问题的允许运动区域

Chinese Astronomy Pub Date : 1979-09-01 DOI:10.1016/0146-6364(79)90013-6

Chen Xiang-yan, Sun Yi-sui, Luo Ding-jun

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引用次数: 6

摘要

本文讨论了轨道倾角和轨道纬度相对于不变平面的变化范围，并给出了运动在允许范围内的充分必要条件。进一步证明了倾角的变化范围在与势函数的最大值(最小值)共线位形处达到最大值(最小值)。

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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On the permissible region of motion in the general problem of three bodies

In this paper we discuss the range of variation of the orbital inclination and the latitude with respect to the invariable plane and give the necessary and sufficient conditions for the motion to be within the permissible range. We further prove that the range of variation of the inclination attains its maximum (minimum) at the collinear configuration with the maximum (minimum) value of the potential function.

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Chinese Astronomy

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