| Numerical Computation of Figure-eight Solution for 3-body Problems |
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| 作者姓名： | 徐乐顺 冀书关 |
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| 作者单位： | Institute of Mathematics, Jilin University, Changchun, 130012 |
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| 摘 要： |
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| 关 键 词： | 稳定性理论 数值计算 8字形算法 解题法 |
| 文章编号： | 1000-1778（2007）03-0226-05 |
| 收稿时间： | 2006-02-28 |
| 修稿时间： | 2006年2月28日 |
Numerical Computation of Figure-eight Solution for 3-body Problems |
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| XU Le-shun,and JI Shu-guan.Numerical Computation of Figure-eight Solution for 3-body Problems[J].Northeastern Mathematical Journal,2007,23(3):226-230. |
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| Authors: | XU Le-shun and JI Shu-guan |
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| Institution: | Institute of Mathematics, Jilin University, Changchun, 130012 |
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| Abstract: | The main goal of this paper is to compute the Figure-eight solutions for the planar Newtonian 3-body problem with equal masses by finding the critical points of the functional associated with the motion equations of 3-body in plane R2. The algorithm adopted here is the steepest descent method, which is simple but very valid for our problem. |
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| Keywords: | numerical computation figure-eight solution N-body problem |
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