Anomalous effects due to the inertial anti-gravitational potential of the sun

Abstract

It is introduced inertial anti-gravitational potential into the theory of gravity to stop gravitational collapse at the nuclear density and thus prevent singularities. It is considered effective gravity which includes Newtonian potential and inertial anti-gravitational potential. It is investigated footprints of the effective gravity in the solar system. The inertial anti-gravitational potential of the sun allows to explain the anomalous acceleration of Pioneer 10 and 11, the anomalous increase in the lunar semi-major axis, the residuals of the seasonal variation of the proper angular velocity of the earth, the anomalous increase of the Astronomical Unit, the anomalous shift of the perihelion of mercury.