Gyroscopic precession in non-circular orbits: a phase-locked tetrad approach

Details Gyroscopic precession in non-circular orbits: a phase-locked tetrad approach Gyroscopic precession in non-circular orbits: a phase-locked tetrad approach

Jul 2007

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2007gregr..39..957s&link_type=abstract

General Relativity and Gravitation, Volume 39, Issue 7, pp.957-964

Other

Spin, Gyroscopic Precession, Tetrad Formalism

Scientific paper

We deduce the explicit form of a phase-locked (PL) tetrad, adapted to a small spinning particle (a test gyroscope) following an arbitrary geodesic orbit in the Schwarzschild geometry of a gravitational source. We subsequently obtain the analytic expression of the gyroscopic precessional velocity Ω in a non-circular orbit, by means of the Fermi rotation coefficients related to the tetrad’s transport law. As an application, we compute the orbital shift in the spin vector, considering a spinning test particle (the gyroscope) in a slightly non-circular orbital motion in the weak gravitational field limit. We compare our results with those of other previous works.

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