| N体问题的几种数值算法比较 |
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| 引用本文： | 杨远玲,聂清香,吴晓梅,徐顺福.N体问题的几种数值算法比较[J].计算物理,2006,23(5):599-603. |
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| 作者姓名： | 杨远玲 聂清香 吴晓梅 徐顺福 |
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| 作者单位： | 1. 山东师范大学物理与电子科学学院,山东,济南,250014
2. 泰山学院,山东,泰安,271021 |
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| 基金项目： | 致谢非常感谢南京大学天文系周济林、万晓生和周礼勇等教授对我们工作的指导和大力帮助. |
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| 摘 要： | 对N体问题的数值积分中的Runge-Kutta—Fehlberg法（简称RKF法）、辛算法和厄米算法在N体问题中应用时引起的能量误差、半长径和偏心率的变化进行比较。结果发现：RKF法精度最高，但长时间内有误差积累；辛算法无人工耗散，能较好保持能量误差的稳定性；厄米算法虽然误差较大，但构造简单，耗机时较少。
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| 关 键 词： | Hamilton系统 RKF法 辛算法 厄米算法 二体问题 N体问题 |
| 文章编号： | 1001-246X（2006）05-0599-05 |
| 收稿时间： | 2005-05-24 |
| 修稿时间： | 2005-12-16 |
On Algorithms for N-body Problems |
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| YANG Yuan-ling,NIE Qing-xiang,WU Xiao-mei,XU Shun-fu.On Algorithms for N-body Problems[J].Chinese Journal of Computational Physics,2006,23(5):599-603. |
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| Authors: | YANG Yuan-ling NIE Qing-xiang WU Xiao-mei XU Shun-fu |
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| Institution: | 1. College of Physics and Electronics, Shandong Normal University, Jinan 250014, China ; 2. Taishan University, Taian 271021, China |
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| Abstract: | The Runge-Kutta-Fehlberg algorithm(RKF),the symplectic algorithm and the Hermite algorithm for N-body problems are studied with energies errors and semimajor axis and eccentricity.It shows that the precision of RKF is the highest,but its error increases with computation time.The symplectic algorithm has no artificial dissipation,and keeps stability of the energy error.The structure of the Hermite algorithm is simple and its computation time is short,but its error is greater than that of the other two. |
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| Keywords: | Hamilton system Runge-Kutta-Fehlberg algorithm symplectic algorithm Hermite algorithm two-body problem N-body problem |
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