Gravitational waves from rotating and precessing rigid bodies. II - General solutions and computationally useful formulas

Astronomy and Astrophysics – Astronomy

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Celestial Mechanics, Gravitational Waves, Neutron Stars, Precession, Rotating Bodies, Algorithms, Approximation, Quadrupoles, Waveforms

Scientific paper

A rigid, freely precessing Newtonian body emits gravitational radiation. In this paper the classical-mechanics results for free precession which are needed in order to calculate the weak-field slow-motion quadrupole-moment gravitational waves are reviewed. Within that formalism, algorithms for computing the exact gravitational power radiated and waveforms produced by arbitrary rigid-body freely precessing source are given. Also presented are 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.

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