Abstract:
Newton's gravity concept, which describes with sufficiently exactness, in spite of some acutely vexed questions within it, Sun's planetary system, via Kepler's laws of planetary motion, is one of the fundamental laws of the classical mechanics. The first vexed question, based on the purely theoretical basis, is the so-called singularity problem. Namely, on the basis of the mathematical model of two material points motion of the same mass in the field of action of the central Newton's gravity force, when the direction of material points motion coincides with the assaulted direction of the force, it is easy to see that absolute values of all relevant physical variables, such as velocity, force, kinetic and potential energy, in the limit as mutual distance of the material points tends to zero, tend to infinity. The second one, which is cleanly empirical nature, is the perihelion problem. Namely, it has been experimentally stated that the perihelion of Mercury's orbits moves into the plane of its planetary motion around the Sun. In other words, all planetary motions of Sun's planetary system depart from elliptical orbits obtained from Newton's mathematical gravity model. Accordingly, to solve simultaneously these two acutely vexed questions within Newton's gravity concept, the goal of the manuscript is a modification of Newton's gravity concept itself.