| 辛算法在长期天体演化中的能量误差比较 |
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| 引用本文： | 杨远玲,吴晓梅,徐顺福.辛算法在长期天体演化中的能量误差比较[J].甘肃联合大学学报(自然科学版),2005,19(3):29-32. |
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| 作者姓名： | 杨远玲 吴晓梅 徐顺福 |
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| 作者单位： | 山东师范大学,物理与电子科学学院,山东,济南,250014 |
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| 摘 要： | 将通常的四阶和六阶辛算法与改进的显式四阶和六阶辛算法分别应用于太阳系Hamilton系统的二体和N体问题.通过对其能量误差的比较发现,改进的显式辛算法确实比通常辛算法好,尤其是在长期演化中更显示出其很好的稳定性;虽然在短期内六阶辛算法比四阶好,但是在长期内则不及四阶.
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| 关 键 词： | Hamilton系统 辛算法 二体问题 N体问题 |
| 文章编号： | 1672-691X(2005)03-0029-04 |
| 修稿时间： | 2005年3月12日 |
Compare about Energies Error of Symplectic Algorithm for the Secular Evolution of Celestial Bodies |
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| YANG Yuan-lin,WU Xiao-mei,XU Shun-fu.Compare about Energies Error of Symplectic Algorithm for the Secular Evolution of Celestial Bodies[J].Journal of Gansu Lianhe University :Natural Sciences,2005,19(3):29-32. |
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| Authors: | YANG Yuan-lin WU Xiao-mei XU Shun-fu |
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| Abstract: | The four-order and six-order Symplectic Algorithm with ameliorated one are used for the Two-Body and the N-Body problem of the Hamilton system in the solar system respectively.By the compare of energies error,we find that:the ameliorated Symplectic Algorithm is better than the usual one,especially,its good stability is shown in secular computing;though the six-order Symplectic Algorithm is finer than the four-order one in shorter time,but it is not for the longer computing time. |
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| Keywords: | Hamilton system Symplectic Algorithm Two-Body problem N-Body problem |
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