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The law of universal gravitation is introduced taking into account the finiteness of the gravitational velocity. Based on this law, a mathematical model of the motion of a finite number of material points is constructed, a separate case of which is the classical model of the motion of points, which is described by a system of ordinary differential equations. The constructed model is a system of nonlinear differential equations with deviating argument and functional equations. It more accurately describes the dynamics of a finite number of material points than the corresponding classical model. A mathematical model of the motion of two material points is also considered.

Law of universal gravitation with finite velocity of gravity and mathematical model of motion of a finite number of material points