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  • 标题:Rotation of the Earth as a triaxial rigid body
  • 本地全文:下载
  • 作者:Wenbin Shen ; Wei Chen ; Wenjun Wang
  • 期刊名称:Geo-spatial Information Science
  • 印刷版ISSN:1009-5020
  • 电子版ISSN:1993-5153
  • 出版年度:2007
  • 卷号:10
  • 期号:2
  • 页码:85-90
  • DOI:10.1007/s11806-007-0020-5
  • 出版社:Taylor and Francis Ltd
  • 摘要:The Earth is taken as a triaxial rigid body, which rotates freely in the Euclidian space. The starting equations are the Euler dynamic equations, with A smaller than B and B smaller than C. The Euler equations are solved, and the numerical results are provided. In the calculations, the following parameters are used: (C-B)/A=0.003 273 53; (B-A)/C=0.000 021 96; (C-A)/B=0.003 295 49, and the mean angular velocity of the Earth’s rotation, ω=0.000 072 921 15 rad/s. Calculations show that, besides the self-rotation of the Earth and the free Euler procession of its rotation, there exists the free nutation: the nutation angle, or the angle between the Earth’s momentary rotation axis and the mean axis that periodically change with time. The free nutation is investigated.
  • 关键词:Earth’s rotation; triaxial rigid body problem; variation of Eulerian angles
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