Gravitational waves from rotating and precessing rigid bodies. II. General solutions and computationally useful formulas
- 15 February 1980
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review D
- Vol. 21 (4) , 891-898
- https://doi.org/10.1103/physrevd.21.891
Abstract
A rigid, freely precessing Newtonian body emits gravitational radiation. In this paper I review the classical-mechanics results for free precession which are needed in order to calculate the weak-field slow-motion quadrupole-moment gravitational waves. Within that formalism, I give algorithms for computing the exact gravitational power radiated and waveforms produced by arbitrary rigid-body freely precessing sources. I also present the dominant terms in series expansions of the waveforms for the case of an almost-spherical object precessing with a small wobble angle. These series expansions, which retain the precise frequency dependence of the waves, may be useful for gravitational astronomers when freely precessing sources begin to be observed.Keywords
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