Torques on a nearly rigid body in a relativistic gravitational field

Details Torques on a nearly rigid body in a relativistic gravitational field Torques on a nearly rigid body in a relativistic gravitational field

Feb 1982

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982gregr..14..151c&link_type=abstract

General Relativity and Gravitation, vol. 14, Feb. 1982, p. 151-163. Research supported by the National Research Council.

Mathematics

Gravitational Fields, Relativistic Effects, Rotating Bodies, Torque, Gyroscopes, Inviscid Flow, Operators (Mathematics), Precession

Scientific paper

The effect of post-Newtonian potentials on the rotation of a perfect fluid, nearly rigid body is shown to consist of a precession and a torque. The frequency of the precession can be exactly represented by means of suitable differential operators. The relativistic torques, in the quadrupole approximation, depend on the instantaneous orientation of the principal axes of one body with respect to the position - like the classical torque - and velocity of the other. For a relatively low-mass body, such as a gyroscope, these velocity-dependent torques have no observable consequences.

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