| 超椭圆积分对一类经典力学问题的应用 |
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| 引用本文： | 赵永达 罗耀煌. 超椭圆积分对一类经典力学问题的应用[J]. 云南大学学报(自然科学版), 1991, 13(1): 39-42 |
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| 作者姓名： | 赵永达 罗耀煌 |
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| 作者单位： | 云南教育学院(赵永达)，云南大学物理系(罗耀煌) |
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| 摘 要： | 本文将一个受二次曲线约束的质点动力学问题的求解归结为两个第一类超椭圆积分,从而首次得出该问题的解析解。
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| 关 键 词： | 经典力学 超椭圆积分 椭圆函数 |
The Application of Hyperelliptic Integarls to the problems of Classical Mechanics |
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| Zhao Yongda. The Application of Hyperelliptic Integarls to the problems of Classical Mechanics[J]. Journal of Yunnan University(Natural Sciences), 1991, 13(1): 39-42 |
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| Authors: | Zhao Yongda |
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| Affiliation: | Zhao Yongda (Yunnan College of Education)Luo Yaohuang(Yunnan University) |
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| Abstract: | solving the dynamic problem of a particle bounded a quadratic curve has been reduced to two hyperelliptic integrals of the first kind, thus, an analytic solution of this problem has been achieved for the first time. |
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| Keywords: | classical mechanics hyperelliptic integral elliptic function |
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