| 水星近日点进动的建模与摄动解 |
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| 引用本文： | 王庚,胡跃进. 水星近日点进动的建模与摄动解[J]. 安徽工程科技学院学报：自然科学版, 2000, 15(4): 19-23 |
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| 作者姓名： | 王庚 胡跃进 |
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| 作者单位： | 1. 安徽机电学院应用数理系安徽芜湖 241000
2. 黄山高专数学系安徽黄山 245000 |
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| 摘 要： | 针对水星近日点进动现象，结合广义相对论建立了奇摄动微分方程模型，并运用多重尺度法，求出了一般行星进动问题的摄动解，从而较好地解释了水星进动之谜和一般行星的进动问题
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| 关 键 词： | 广义相对论 Cauchy问题 奇摄动 多重尺度法 |
| 文章编号： | 1007-5240(2000)04-0019-05 |
| 修稿时间： | 2000-05-22 |
Modelling and perturbation solution of the mercury perihelium precession |
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| WANG Geng,HU Yao jin. Modelling and perturbation solution of the mercury perihelium precession[J]. Journal of Anhui University of Technology and Science, 2000, 15(4): 19-23 |
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| Authors: | WANG Geng HU Yao jin |
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| Affiliation: | WANG Geng1,HU Yao jin2 |
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| Abstract: | The mercury perihelium precession problem was discussed. The theory of general relativity is used to set up the model of singular perturbation differential equation. By using the method of multiple scales, perturbation solutions of the planet perihelium precession problem are obtained. |
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| Keywords: | the theory of general relativity Cauchy problem singular perturbation the method of multiple scale |
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