Abstract
The motion of spin particles in the Schwarzschild field is examined in this paper. It is shown that Mathisson-Papapetrou equations under additional conditions\(\mathop L\limits_j {\text{ }}S^{\alpha \beta } {\text{ = }}0\), where\(\mathop L\limits_j\) is the Lie derivative of the Killing vector ξj, permit only radial motion, motion in the equatorial plane and in the equilibrium points. All these types of motion are considered more in detail.
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