| 回转表面上非测地线缠绕方程及其解 |
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| 引用本文： | 邹蒙,黄毓圣. 回转表面上非测地线缠绕方程及其解[J]. 宇航学报, 1987, 0(2) |
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| 作者姓名： | 邹蒙 黄毓圣 |
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| 作者单位： | 北京玻璃钢研究所(邹蒙)，北京玻璃钢研究所(黄毓圣) |
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| 摘 要： | 本文利用微分几何推导了回转表面上的非测地线缠绕方程,并用Runge-Kutta-Fehlberg法求解。此法与文献的分段圆锥法对比,两者计算结果很一致,说明在工程中都是可用的。
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| 关 键 词： | 旋成体 非测地线缠绕 运动方程 数值解 朗格—库塔法 应用 |
EQUATION AND SOLUTION FOR NON-GEODESIC WINDING ON A SURFACE OF REVOLUTION |
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| Zou Mon Huang Yusheng. EQUATION AND SOLUTION FOR NON-GEODESIC WINDING ON A SURFACE OF REVOLUTION[J]. Journal of Astronautics, 1987, 0(2) |
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| Authors: | Zou Mon Huang Yusheng |
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| Affiliation: | Beijing GRP Research Institute |
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| Abstract: | In this pepar, an equation for non-geodesic winding on a surface of revolution is derived from differential geometry and solved with the Runge-Kutta-Fehlbery method. Calculation and analysis have been made for the equation and compared with the method in which a surface of revolution is divided into several conical sections shown in the reference. They conform each other and are practicable in engineering |
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| Keywords: | Body of revolution Non-geodesic winding Motion equation Numerical solution Runge-Kutta method Application. |
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