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On gyroscopic precession

José Luis Hernández-Pastora·Jesús Martín·Eduardo Ruiz
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Abstract

The vorticity of a congruence is often considered to be the rate of rotation for the precession of a gyroscope moving along a world-line belonging to that congruence. Our aim here was to determine the evolution equation for the angular momentum of a gyrosocope with respect to an arbitrary time-like congruence: i.e, a reference congruence not containing the curve described by the gyroscope. In particular, we show the specific conditions needed to support the introductory statement about the vorticity. We thus establish a well-founded theoretical description for the analysis of the precession of gyroscopes, providing suitable conclusions for possible experiments.

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José Luis Hernández-Pastora, Jesús Martín, Eduardo Ruiz. 2001-12-07. On gyroscopic precession. https://arxiv.org/abs/gr-qc/0009062

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