  The response of the ultrarelativistic particle with spin in a Schwarzschild
field to the gravitomagnetic components as measured by the comoving observer is
investigated. The dependence of the particle's spin-orbit acceleration on the
Lorentz \gamma - factor and the spin orientation is studied. The concrete
circular ultrarelativistic orbit of radius r=3m is considered as a partial
solution of the Mathisson-Papapetrou equations and as the corresponding
high-energy quantum state of the Dirac particle. Numerical estimates for
protons and electrons near black holes are given. A tendency of gravitational
and electromagnetic interactions to approach in quantitative terms at
ultrarelativistic velocities is discussed
