The plane trajectories of spin particles in the Schwarzschild field (Q1115661)

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scientific article; zbMATH DE number 4087115
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The plane trajectories of spin particles in the Schwarzschild field
scientific article; zbMATH DE number 4087115

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    The plane trajectories of spin particles in the Schwarzschild field (English)
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    1988
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    Plane motions of spin particles in the Schwarzschild field are investigated. Cases of parallel transport of spin tensor (PTS) and of geodesic motion as well as of the motion under additional Pirani conditions and Dixon conditions are considered. Using these assumptions analogues of the Binnet formula are obtained. In the case of PTS and PS the stability of circular orbits the way Lyapunov interprets it is examined.
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    Plane motions of spin particles
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    Schwarzschild field
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    parallel transport of spin tensor
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    geodesic motion
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    Pirani conditions
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    Dixon conditions
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    Binnet formula
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    stability of circular orbits
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