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| 有摄圆型限制性三体问题平动点稳定的充要条件及应用 | |
| 引用本文： | 舒斯会,陆本魁,陈务深,刘福窑. 有摄圆型限制性三体问题平动点稳定的充要条件及应用[J]. 天文学报, 2005, 46(1): 37-45 |
| 作者姓名： | 舒斯会 陆本魁 陈务深 刘福窑 |
| 作者单位： | 1. 中国科学院紫金山天文台,南京,210008;中国科学院国家天文台,北京,100012;江西科技师范学院,南昌,330013 2. 中国科学院紫金山天文台,南京,210008;中国科学院国家天文台,北京,100012 3. 中国科学院紫金山天文台,南京,210008;中国科学院国家天文台,北京,100012;南京工业大学,南京,210027 |
| 基金项目： | 国家自然科学基金江西科技师范学院科研资助项目 |
| 摘 要： | 摘要给出了一个判断有摄圆型限制性三体问题平动点稳定性的充要条件．该条件只依赖于平动点变分方程的特征方程系数的一个简单关系，使用很方便．用所得到的条件，讨论了任意外力摄动对经典圆型限制性三体问题三角平动点稳定性的影响和惯性阻力摄动对Robe圆型限制性三体问题主要平动点的稳定性的影响． |
| 关 键 词： | 动点 充要条件 平动 变分方程 摄动 特征方程 外力 限制性 稳定性 系数 |
| 修稿时间： | 2004-03-10 |
Sufficient and Necessary Conditions for the Stability of Equilibrium Points in the Perturbed Circular Restricted Three-Body Problem and Applications |
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| SHU Si-hui LU Ben-kui CHEN Wu-shen LIU Fu-yao. Sufficient and Necessary Conditions for the Stability of Equilibrium Points in the Perturbed Circular Restricted Three-Body Problem and Applications[J]. Acta Astronomica Sinica, 2005, 46(1): 37-45 | |
| Authors: | SHU Si-hui LU Ben-kui CHEN Wu-shen LIU Fu-yao |
| Abstract: | The sufficient and necessary judging conditions for the stability of equilibrium points in the perturbed circular restricted three-body problem are given. The condition only depends on a simple relation of the coefficients of the characteristic equations of their variational equations and is applied very expediently. The effect of an arbitrary external force perturbation upon the stability of equilibrium points in the circular classic restricted three-body problem and the effect of an inertial drag perturbation upon the stabilities of the main equilibrium points in the Robe circular restricted three-body problem are studied by these conditions. |
| Keywords: | Celestial Mechanics: restricted three-body problem equilibrium points the stability |
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