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A MODEL OF 1PN QUASI-RIGID BODY FOR ROTATION OF CELESTIAL BODIES

JIN-HE TAO

Purple Mountain Observatory, The Chinese Academy of Sciences, Nanjing, 210008, P. R. China

National Astronomical Observatories, The Chinese Academy of Sciences, Nanjing, 210008, P. R. China

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and

CHONG-MING XU

Department of Physics, Nanjing Normal University, Nanjing, 210097, P. R. China

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https://doi.org/10.1142/S0218271803003311Cited by:3 (Source: Crossref)

Abstract

Applying the Damour–Soffel–Xu framework of general-relativistic celestial mechanics, the theory of relativistic rigid body presented by Thorne and Gürsel is extended and developed in this paper. We successfully construct a quasi-rigid body model in the full post-Newtonian framework for the first time. This model has some simple properties in a similar way to the Newtonian rigid body, and it could be applied in geodynamics and astronomy, for example, to solve problems on rotation or precession of celestial bodies when relativistic effects are not negligible.

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