Time-varying Newtonian gravity and universal motion

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Gravitation Theory, Newton Theory, Particle Interactions, Time Dependence, Conservation Laws, Gravitational Constant

Scientific paper

A new force law for the interaction of two particles is derived which allows for a time-dependent gravitational constant and for the conservation of energy. The force law implies that if the law of gravitation is time-dependent, then, to avoid infinite forces, no two particles in the Universe may be at relative rest for a nonzero time interval. The force law is also Machian, in that the force on a particle depends on the velocity of all other particles in the Universe. The interparticle force need not act along the line joining the two particles, so angular momentum is not conserved in general.

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