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

TL;DR

This paper introduces an inertial anti-gravitational potential into gravity theory to explain various solar system anomalies, including Pioneer spacecraft acceleration and Mercury's perihelion shift, by preventing gravitational collapse.

Contribution

It proposes a new effective gravity model combining Newtonian and inertial anti-gravitational potentials to account for observed anomalies in the solar system.

Findings

Explains Pioneer 10 and 11 anomalous accelerations.

Accounts for lunar semi-major axis increase.

Describes Mercury's perihelion shift anomaly.

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.