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

## DOI:

https://doi.org/10.31713/MCIT.2020.25## Keywords:

law of universal gravitation with finite velocity of gravity, mathematical model of motion of a finite number of material points## Abstract

The law of universal gravitation is intro- duced taking into account the finiteness of the gravi- tational 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 de- scribed by a system of ordinary differential equations. The constructed model is a system of nonlinear dif- ferential equations with deviating argument and func- tional equations. It more accurately describes the dy- namics 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.

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## Published

2020-10-23

## How to Cite

*Modeling, Control and Information Technologies: Proceedings of International Scientific and Practical Conference*, (4), 120–123. https://doi.org/10.31713/MCIT.2020.25

## Issue

## Section

Modelling of physical, technical and social systems