2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/218979The physical effects following from the Mathisson equations at the highly relativistic motions of a spinning test particle relative to a Schwarzschild mass are discussed. The corresponding numerical estimates are presented.6 pages, invited paper presented at the Mathisson Conference (17-20 October2007, Warsaw), to appear in Acta Phys. Pol. BGeneral Relativity and Quantum Cosmologytext