弹性地球各种几何轴和物理轴的定义

基于经典的弹性地球自转动力学理论,建立了极移和章动的联合动力学方程。由此给出了弹性地球各种几何轴和物理轴(Tisserand轴、自转轴、瞬时形状轴、角动量轴、CEP和CIP轴)的极移、岁差章动的动力学方程,明确了各种轴的定义及其之间的理论关系。理论研究表明,联合动力学方程要比经典动力学方程综合性强易于理解,可同时求解极移和章动,特别是在文1]理论中出现的倾斜模(TOM),在此只是作为了一个特解而存在。

Definitions of Various Geometrical and Physical Axises for the Elastic Earth Rotation

Based on the classical theory on the rotation of the elastic Earth, associated dynamical equations containing both nutation and wooble of Earth rotation have been deduced through introducing motion of the nutation frame system with respect to the inertial spatial frame.Therefore,the dynamical equations for polar motion and precession-nutation of various geometrical and physical axises have been given, including the Tisserand axis,rotation axis,instantaneous figure axis,momentum axis,CEP and CIP axis.Definition and relations among these axises have been demonstrated.It is indicated that the new dynamical equations are more comprehensive and easily understood than the existing dynamical equations on the Earth rotation,and wobble and nutation can be solved simultaneously,in particular,TOM in theory of Smith M.L.(1977) here only is a special solution.Theoretical formulae deduced in this paper are extension and improvement with respect to previous theory,and it can provide a reference for research on the dynamical geodesy and arstrogeodynamics.