Quasi-quantization of the orbits in the Solar System

Abstract

The motion of the planets, asteroids and comets in the Solar System are controlled by gravity and are well explained in classical mechanics by Newton's and Kepler's laws. Using these laws, one can easily calculate some of the unknown variables such as the period or the angular momentum of the planets. However, neither Newton's laws nor Kepler's laws explain the relationship between the angular momentum of the orbits in the Solar System. The purpose of this paper is to demonstrate that the specific angular momentum (angular momentum per unit mass) of any planet in the Solar System can be expressed in terms of the specific angular momentum of the planet Mercury and, consequently, to prove that the semi-major axis of any planet, asteroid or comet can be expressed as a multiple of the semi-major axis of Mercury.