TY - JOUR
AU - Slyusarchuk, Vasyl
PY - 2019/11/06
Y2 - 2024/10/03
TI - The Problem of Two Bodies with a Finite Velocity of Gravity
JF - Modeling, Control and Information Technologies: Proceedings of International scientific and practical conference
JA - MCIT
VL - 0
IS - 3
SE - Modelling of physical, technical and social systems
DO - 10.31713/MCIT.2019.14
UR - https://itconfdoc.nuwm.edu.ua/index.php/ITConf/article/view/83
SP - 160-164
AB - <p>From the moment of Newton’s discovery<br>of the law of universal gravitation, ordinary differential<br>equations were used to study the motion of bodies,<br>since it was assumed that the velocity of gravitation<br>is infinite. However, in reality the velocity of gravity<br>is finite, which is consistent with the theory of relativity<br>of Einstein, which postulated that the velocity of<br>gravity matches the velocity of light, and the studies<br>conducted by S. Kopeikin and E. Fomalont on the fundamental<br>limit of the velocity of gravity. Due to the<br>delay of the gravitational field for studying the motion<br>of bodies, the mathematical apparatus based on differential<br>equations with a delay argument is the most<br>acceptable one. These equations are used to construct<br>and study the mathematical model of the motion of two<br>bodies. It is shown that the motion of these bodies with<br>identical masses (with finite velocity of gravity!) is not<br>carried out in accordance with Kepler’s laws.</p>
ER -