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| ������Ե����������Euler�˶� | |
| 引用本文： | 申文斌,陈巍,章迪,王文均,梁毅强.������Ե����������Euler�˶�[J].大地测量与地球动力学,2007,27(5):13-17. |
| 作者姓名： | 申文斌 陈巍 章迪 王文均 梁毅强 |
| 作者单位： | 1. 武汉大学测绘学院地球物理系,武汉,430079;武汉大学地球空间环境与大地测量教育部重点实验室,武汉,430079 2. 武汉大学测绘学院地球物理系,武汉,430079 3. 武汉大学测绘学院大地测量学与测量工程系,武汉,430079 4. 中国科学院测量与地球物理研究所动力大地测量学开放研究室,武汉,430077 |
| 基金项目： | 国家自然科学基金（40574004） |
| 摘 要： | ??Euclid?????, ???????????????????????3???????????????????, ??????Euler??????????????????, ???????Euler??????????????????????????????????: ?????????24С?????????????305???Euler??????????, ???????????305??????????;3??Euler?????????????????????, ??????????????С, ????????????????, ?????????? ?????, ??????????????????, ?????????????????? |
| 关 键 词： | ??????? ????Euler??? ???????? ?????? ???????? |
| 文章编号： | 1671-5942（2007）05-0013-06 |
| 修稿时间： | 2007-05-19 |
FREE EULER MOTION OF TRIAXIAL RIGID EARTH |
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| Shen Wenbin,Chen Wei,Zhang Di,Wang Wenjun,Liang Yiqiang.FREE EULER MOTION OF TRIAXIAL RIGID EARTH[J].Journal of Geodesy and Geodynamics,2007,27(5):13-17. | |
| Authors: | Shen Wenbin Chen Wei Zhang Di Wang Wenjun Liang Yiqiang |
| Abstract: | Under the assumption that the Earth is a triaxial rigid body which is rotating freely in the Euclidian space, the elliptic integral solution of the Euler dynamic equation is provided, and then the numerical solutions of the Euler dynamic as well as kinetic equation are realized. The calculated results show that, besides the self-rotation of the Earth with the period about 24 h and the free Euler precession with the period 305 d, there exists a free nutation with the period about 305 d. In addition, the three Eulerian angular velocities accelerate in a half period and decelerate in another half period, keeping the magnitude of the total angular velocity constant, i.e., the rotational energy keeps invariant. Correspondingly, the length of day increases gradually in one half period and decreases gradually in another half period. |
| Keywords: | triaxial Earth free Euler motion elliptic integral solution angular velocity rotational energy conversetion |
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