| 太阳扰动下地-月系统的Lyapunov稳定性 |
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| 引用本文： | 张细利,海文华,方见树,黄卫立.太阳扰动下地-月系统的Lyapunov稳定性[J].湖南师范大学自然科学学报,2000,23(3):43-47. |
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| 作者姓名： | 张细利 海文华 方见树 黄卫立 |
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| 作者单位： | 湖南师范大学理学院物理系,中国,长沙,410081 |
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| 基金项目： | 国家自然科学基金资助项目!(197750 2 3) |
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| 摘 要： | 利用直接微扰法，算出了在太阳扰动下月球绕地球的运动轨道，并对其稳定性进行了分析。结果表明在太阳扰动下，地－月系统绕太阳的椭圆运动是不稳定的，这解决了长期以来悬而未决的一级微扰下太阳系的稳定性问题。而当地－月系统作圆轨道运动时，其解是Ｌｙａｐｕｎｏｖ稳定的，这个特例验证了Ｍｏｒｓｅｒ等人提出的球形轨道稳定性的结论。
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| 关 键 词： | Lyapunov稳定性 地－月系统 太阳扰动 运动轨道 |
Stability Analysis to the Earth-Moon System Perturbed by the Sun |
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| ZHANG Xi-li,HAI Wen-hua,FANG Jian-shu,HUANG Wei-li.Stability Analysis to the Earth-Moon System Perturbed by the Sun[J].Journal of Natural Science of Hunan Normal University,2000,23(3):43-47. |
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| Authors: | ZHANG Xi-li HAI Wen-hua FANG Jian-shu HUANG Wei-li |
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| Abstract: | Consider the Earth Moon system which is perturbed by the Sun. The first order approximate solution is derived from a direct perturbation method and its stability is analyzed by using Lyapunov method. The results reveal that the stability depends on the motion of the corresponding three body system. When the Earth Moon system moves around an elliptic orbit, the solution is unstable. However, the circle orbit of the Earth Moon system is stable under the Sun perturbation. |
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| Keywords: | Lyapunov stability perturbation the Earth Moon system |
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