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基于引潮力位Doodson展开的岁差章动力矩的推导

To deduce Moment of Precession and Nutation Based on Doodson Development for the Tide Generating Potential

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【作者】 张捍卫许厚泽张超

【Author】 ZHANG Hanwei XU Houze ZHANG Chao 1 Institute of Geodesy and Geophysics, Chinese Academy of Sciences, WuHan 430077 2 Department of geodesy of Institute of Surveying and Mapping, PLA Information Engineering University, Zhengzhou 450052

【机构】 中国科学院测量与地球物理研究所信息工程大学测绘学院大地测量系

【摘要】 外天体对地球的力学扰动产生几种共生的天文和地球物理现象,如:地球惯性轴和旋转轴在空间的进动和章动,旋转轴相对地球本身的近周日摆动等。岁差章动力矩是解释这些现象的前提条件,也是建立刚体地球章动序列的最主要方法之一。本文基于目前引潮力位的Doodson展开,对岁差章动力矩进行严格的理论推导,首次顾及了高阶引潮力位对岁差章动力矩的影响。给出的理论公式是对P.Melchior理论的扩展和改进,对于建立高精度的刚体地球章动序列是非常有意义的。

【Abstract】 External celestial bodies cause some astronomical and geophysical phenomena to mechanical perturbation of earth, for example, precession and nutation of inertial and rotational axis of Earth in space, wobble of rotational axis for Earth relative to itself, etc. The moment of precession and nutation is a prerequisite to explain these phenomena and one main way of building nutational serial of rigid Earth. Based on Doodson development of the precise tidal generating potential, a new moment of precession and nutation have been deduced via rigorous theoretical method, considering high degree tidal generating potential influence to moment of precession and nutation. Theoretical formulae deduced by this paper are extension and improvement with respect to theory for P. Melchior and Guo Junyi, at the same time, it is very significant to establish of high precision nutation’s serial for rigid Earth.

【基金】 地球空间环境与大地测量教育部重点实验室资助项目(020915);国家自然科学基金(40374030)(40234039);中国科学院知识创新工程重要方向项目(KZCX3-SW-132)资助
  • 【会议录名称】 《大地测量与地球动力学进展》论文集
  • 【会议时间】2004
  • 【分类号】P312.4
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