Time-varying Newtonian gravity - an upper limit for the rate of change of the gravitational constant

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Gravitational Constant, Newton Theory, Planetary Gravitation, Solar System, Time Dependence, Angular Momentum, Mass Distribution

Scientific paper

In the Newtonian amended gravity law with a time-dependent gravitational constant as proposed by the Bishop and Landsberg (1976) theory, the conventional expression for the energy remains a constant of motion, despite the fact that G depends on time. In the theory, the angular momentum is not conserved. In the present paper the variation in time of the angular momentum predicted by the theory is calculated for the planets of the solar system and especially for Venus. From this calculation and present planet eccentricities, an upper limit for the rate of change of the time varying gravitational constant is obtained.

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