Orbital and pericentric reference systems in the schwarzschild field

Abstract

Reference systems generalizing orbital and perigee coordinates systems, widely used in the Newtonian theory of gravitation for solving inertial navigation problems, are introduced in the Schwarzschild gravitational field using the tetrad formalism of the General Relativity Theory (GRT). Exact expressions are obtained for the angular precession velocity of the gyroscope in these reference systems in the case of its arbitrary geodesic motion, and the physical components of the dipole magnetic field intensity, which are used for the magnetic control of satellite orientation, are determined. It is shown that gravitational corrections of magnetic field intensity can, in principle, be measured by contemporary quantum magnetometers.