Abstract

We study a new gravity model of a spherical symmetric mass system. In this model, the strength of gravitational acceleration is combined with two components—a classical Newtonian component and a modified component. The modified component in this model can be connected to weak field limit of Milgrom’s Modified Newtonian dynamics (MOND). To explain the physics of the modified force component as an acceleration-dependent matter density we assume that the effective mass of the galactic constituents is a function of baryonic mass and scale. Then, we derived the effective mass of such a system and applied it to the Sun-Earth system showing that the modified component is much smaller than the Newtonian component. This is why the gravity from the sun behaves Newtonian at the position of the earth. Finally, we discuss the possible implications of our gravity law in the theory of gravity.

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