A long time span relativistic precession model of the Earth

A numerical solution to the Earth＇s precession in a relativistic framework for a long time span is presented here. We obtain the motion of the solar system in the Barycentric Celestial Reference System by numerical integration with a symplectic in- tegrator. Special Newtonian corrections accounting...

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Bibliographic Details
Published in:Research in astronomy and astrophysics 2015-04, Vol.15 (4), p.583-596
Main Authors: Tang, Kai, Soffel, Michael H., Tao, Jin-He, Han, Wen-Biao, Tang, Zheng-Hong
Format: Article
Language:English
Subjects:
Celestial reference systems
Constants
Dissipation
Earth
Intervals
Mathematical models
Precession
Solar system
力模型
参考系统
地球自转
岁差
时间跨度
牛顿方程
相对论效应
近似表达式
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Summary:A numerical solution to the Earth＇s precession in a relativistic framework for a long time span is presented here. We obtain the motion of the solar system in the Barycentric Celestial Reference System by numerical integration with a symplectic in- tegrator. Special Newtonian corrections accounting for tidal dissipation are included in the force model. The part representing Earth＇s rotation is calculated in the Geocentric Celestial Reference System by integrating the post-Newtonian equations of motion published by Klioner et al. All the main relativistic effects are included following Klioner et al. In particular, we consider several relativistic reference systems with cor- responding time scales, scaled constants and parameters. Approximate expressions for Earth＇s precession in the interval ~1 Myr around J2000.0 are provided. In the interval 4-2000 years around J2000.0, the difference compared to the P03 precession theory is only several arcseconds and the results are consistent with other long-term precession theories.
ISSN:1674-4527
2397-6209
DOI:10.1088/1674-4527/15/4/010