PREDICTION OF STRUCTURE OF PLANETARY SYSTEMS BY TIZIUS-BODE LAW IN MORE GENERAL FORM

摘要

An analysis of the comparison of the solar system as a whole and its planetary systems with structure of atoms in particular is carried out. Solar system is similar to molecule of water. The new quantitative data verifying a similarity of satellite systems are obtained: the Earth is analogy of hydrogen atom (Earth is "as though" core of hydrogen -positive proton), Mars is analogy of helium atom. If Earth is "hydrogen nucleus", its mass should be contained in nuclei of other planets calculations are submitted. At the selected approach 4 planets "subshell" 2p have nuclei, mass which one is close to relative atomic mass respectively: carbon (Jupiter), sodium (Saturn), nitrogen (Uranus), oxygen (Neptune). It can see that Jupiter (its core mass is equal 12 masses of Earth) with its the largest moons is analogy of carbon atom, Saturn (≈20 Earth' masses) with 10 the largest moons is analogy of neon atom, Uranus (13.6) with 7 largest satellites is nitrogen atom, Neptune (16.4) with 8 its moons is analogy of oxygen atom. The formula Tizius - Bode more generally can be presented as follows: R = 1+3x2~(n-p), where p - number of planet' moons as analogy of electron L-orbital in similar atomic system. The relationship between mean dimensionless distance from planets R and moon' orbit number n; calculations according to this formula, and astronomical data give good result. The conclusion about the necessity of a more complex study of all bodies in the Solar system is drawn. The analogy of pattern of atoms and planetary systems allows to forecast presence of satellites for planets, to update their parameters, to use the set up approaches for a prediction of a structure of planetary systems of other stars. From these facts it transpires that unknowns of general regularities of self-organizing micro- and macrosystems exist.