The plane trajectories of spin particles in the Schwarzschild field

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Gravitational Fields, Particle Spin, Schwarzschild Metric, Trajectory Analysis, Circular Orbits, Particle Trajectories, Tensor Analysis, Transport Properties

Scientific paper

Plane motions of spin particles in the Schwarzschild field are studied
for the cases of parallel transport of the spin tensor, geodesic motion,
and motion under additional Pirani and Dixon conditions. Analogs of the
Binnet formula are derived. The Liapunov stability of circular orbits is
considered for the case of parallel transport of the spin tensor.

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