Hostname: page-component-cc8bf7c57-7lvjp Total loading time: 0 Render date: 2024-12-12T07:51:01.427Z Has data issue: false hasContentIssue false
  • English
  • Français

General-relativistic Linear Perturbation Theory on Elastical Astronomical Bodies

Published online by Cambridge University Press:  26 May 2016

Xuejun Wu ,
Chongming Xu  and
Michael Soffel
Xuejun Wu
Affiliation:
Lohrmann Observatory, Technical University Dresden, Germany Dept. of Phys., Nanjing Normal University, Nanjing 210097, China
Chongming Xu
Affiliation:
Lohrmann Observatory, Technical University Dresden, Germany Dept. of Phys., Nanjing Normal University, Nanjing 210097, China
Michael Soffel
Affiliation:
Lohrmann Observatory, Technical University Dresden, Germany

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

The general relativistic perturbations of a uniformly rotating and axisymmetric elastic deformable astronomical body in the first post-Newtonian approximation of Einstein's general relativity is discussed in a co-rotating coordinates. The main new results presented here are the post-Newtonian variations of the energy and Euler equation, which at the Newtonian level of accuracy is so called Jeffreys-Vicente equation and it play a fundamental role for the description of global geodynamics in the classical geophysics. Our results will be useful to treat the relativistic nutation and precession of the Earth and other planets.

Type
Part II: Progress in the theory of planet formation
Information
Symposium - International Astronomical Union , Volume 202: Planetary Systems in the Universe – Observation, Formation and Evolution , 2004 , pp. 247 - 249
Copyright
Copyright © Astronomical Society of the Pacific 2004 

References

Carter, B. 1973, Commun. Math. Phys., 30, 261.Google Scholar
Damour, T., Soffel, M., & Xu, C. 1991, Phys. Rev.D, 43, 3273.CrossRefGoogle Scholar
Jeffreys, H., & Vicente, R. O. 1957, MNRAS, 117, 142.Google Scholar
Xu, C., Wu, X., & Schäfer, G. 1997, Phys. Rev.D, 55, 528.Google Scholar