its mass and speed".
2. Orbital distance for satellite systems
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.
Fig.1. The dependence of the orbital distances rn in the planetary system from squares of integers n
Table 2. The values of the constant k in equation (1) for the planetary system.
Similar calculations were done for the satellite systems of Jupiter, Saturn, Uranus and Neptune. In table 3 and Fig.2 shows the data for the satellite systems of Jupiter. The system has 63 satellites. Many rely on close orbits and were therefore combined into groups. For example, in orbits with an average distance 23813∙108 cm turns 28 satellites. All of them are given one quantum number 29.
In the system of Jupiter are 32 elite orbits, which are comparable with the planetary system, where they are 30. The constancy of the constants k observed satisfactorily for all orbits except the first two quantum numbers 2 and 3. The average value of the constants k = 28,6∙108 cm with standard deviation of 0.3∙108 cm excluding the first two orbits, deviations from which are outside the statistical sample. The dependence of the orbital distances in the satellite system of Jupiter is given also in Fig.2.
Graph expressing this dependence was used to determine the values of the quantum numbers n. All experimental points, expressing the satellite or group of satellites with the same orbital distances satisfactorily fit to a straight line, as required by equation (1). Each orbital distance on the ordinate corresponds to the value of n2
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