Physics of Elementary Particles and Field Theory

Soviet Physics Journal

, Volume 28, Issue 7, pp 601-604

First online:

Addition oe the Pirani condition to the Mathisson-Papapetrou equations in a Schwarzschild field

  • R. M. PlyatskoAffiliated withInstitute of Applied Problems of Mechanics and Mathematics, Academy of Sciences of the Ukrainian SSR

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Relations are obtained that allow us to distinguish a unique center of mass of a rotating test body as it moves in the equatorial plane of a Schwarzschild field. This center of mass can be thought of as the instantaneous analog of the classical center of mass.