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Table 1. The values of the constants (a/mG) for planetary and satellite systems and its relationship with the rotation parameters of the Central bodies systems.

This article in the framework of representations arising from law formulated in equation (1), an attempt is made to establish a universal constant, which would unite planetary and satellite systems. When this work has taken into account the statement of Alven H. [5], "the emergence of an ordered system of secondary bodies around the primary body – whether it be the Sun or a planet, definitely depends on two parameters initial body: its mass and speed".

To establish the relationship between constant k and rotation parameters of the central bodies of planetary and satellite systems were calculated constants for planetary systems, and systems of Jupiter, Saturn, Uranus and Neptune. Table 2 shows the calculated values of k, for the planetary system, calculated by equation (1). The values of n for the calculation were taken from the work of F A. Gareev. The obtained average value of the constants k= 6,28∙10¹¹ cm with standard deviation of 0.49∙10¹¹ cm. Also the dependence of planetary distances from the squares of integers represented in Fig. 1, which confirms the correctness of the values of the integer n.