2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/205385The Mathisson equations under the Frenkel-Mathisson supplementary condition are studied in a Schwarzschild field. The choice of solutions, which describe the motions of the proper center of mass of a spinning test particle, is discussed, and the calculation procedure for highly relativistic motions is proposed. The very motions are important for astrophysics while investigating possible effects of the gravitational spin-orbit interaction on the particle's world line and trajectory.11 pages, 3 figuresGeneral Relativity and Quantum Cosmologytext