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

ZHANG Han-wei; XU Hou-ze; WANG Ai-sheng

Astronomical Research and Technology > 2005 > 2(1): 19-27.

ZHANG Han-wei, XU Hou-ze, WANG Ai-sheng. Definitions of Various Geometrical and Physical Axises for the Elastic Earth Rotation[J]. Astronomical Research and Technology, 2005, 2(1): 19-27.

Citation:

ZHANG Han-wei, XU Hou-ze, WANG Ai-sheng. Definitions of Various Geometrical and Physical Axises for the Elastic Earth Rotation[J]. Astronomical Research and Technology, 2005, 2(1): 19-27.

Citation:

ZHANG Han-wei, XU Hou-ze, WANG Ai-sheng. Definitions of Various Geometrical and Physical Axises for the Elastic Earth Rotation[J]. Astronomical Research and Technology, 2005, 2(1): 19-27.

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

1.
Department of Territory Information Mapping Engineering, Xuzhou Normal University, Xuzhou 221116
2.
Institute of Geodesy and Geophysics, Chinese Academy of Sciences, WuHan 430077, China

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Received Date: May 13, 2004
Revised Date: July 11, 2004
Published Date: January 14, 2005

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Abstract

Abstract

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.
- elastic earth model,
- wobble and nutation,
- geometrical and physical axises

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