On a possible regularity connecting physical characteristics of a Solar system planet and elements of its orbit

Abstract

This paper is an attempt to detect correlation between characteristics of a big planet of the Solar System (such as mass \QTR{it}{m}, radius \QTR{it}{r}, and sidereal period of rotation on its axis \QTR{it}{t}) and elements of its orbit (such as radius of a big half-axis of the orbit \QTR{it}{R} and sidereal period \QTR{it}{T} of rotation of the planet on the Sun). The existence of this correlation can be generally considered a generalization of the third Kepler's law, which is the logical conclusion of the nebular model of formation of the big planets of the Solar System. There has been made an attempt to find out if this correlation is typical of the big planets with a large number of satellites. The aim of the paper is to search for the stated correlation.