Abstract
It is shown by using the equation of geodesic deviation that a small test particle, placed in the centre of inertia of a terrestrial spherical satellite, will vibrate if a small initial momentum dξi/dsbe given to this particle at a certain moment of the satellite's proper time S=0. These vibrations may be in the satellite's orbital plane and the plane perpendicular to it with the frequencies determined by the formulae (14) and (16). The difference between the periods of these vibrations determined by the formula (20) is one new effect of the Einsteinian theory of gravitation (GTR). The shifting of the point of intersection on the lines of these vibrations corresponds to this difference of periods (20). This shifting, taking place in the time of several complete periods, will be of a distance 10−6–10−7 cm if plausible assumptions about the quantities of the test particle velocities and amplitudes are made.
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