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Angular velocity of rotation of extended bodies in general relativity

Published online by Cambridge University Press:  25 May 2016

S.A. Klioner
S.A. Klioner*
Affiliation:
Institute of Applied Astronomy 197042 St. Petersburg, Russia

Abstract

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We consider rotational motion of an arbitrarily composed and shaped, deformable weakly self-gravitating body being a member of a system of N arbitrarily composed and shaped, deformable weakly self-gravitating bodies in the post-Newtonian approximation of general relativity. Considering importance of the notion of angular velocity of the body (Earth, pulsar) for adequate modelling of modern astronomical observations, we are aimed at introducing a post-Newtonian-accurate definition of angular velocity. Not attempting to introduce a relativistic notion of rigid body (which is well known to be ill-defined even at the first post-Newtonian approximation) we consider bodies to be deformable and introduce the post-Newtonian generalizations of the Tisserand axes and the principal axes of inertia.

Type
Part VIII - General Relativity. Physics
Information
Symposium - International Astronomical Union , Volume 172: Dynamics, Ephemerides and Astrometry of the Solar System , 1996 , pp. 309 - 320
Copyright
Copyright © Kluwer 1996 

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