The Kepler Problem with Allowance for Modification of the Gravitational Potential in the Expanding Universe with a Collisionless Gas

The paper deals with the solution to the Kepler problem for the gravitational potential of a point mass with allowance for the presence of collisionless particles in the Universe [3]. The estimates are reported for the Solar System planets and for the Sqr A object which is assumed to be a supermassive black hole at the center of the Milky Way [1]. __________ Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 8, pp. 26–28, August, 2005.