Music of the celestial orbits
Possible, the firmament was the first object, in which a man aimed to discover the laws of the Being, the laws of harmony. Just the observation over the invariable and eternal asters for the first time resulted the man in thought that the order and harmony exist in the world.
Later the man established, that some of the asters moved on the firmament, - so the man discovered the planets of the Solar system. Since ancient time the mankind attempts to find the laws of planet arrangement. The Pythagoreans made such attempt first; they believed that the Earth has the form of the sphere and it is arranged in the center of the Universe. Around of it the orbits of the planets are placed, the last of them is the aster orbit. The Pythagoreans believed that distances between the orbits correspond to musical intervals: one tone is from the Earth up to the Moon; the halftone is from the Moon to the Mercury; the 1,5 tones from the Venus to the Sun and so on. The interesting analogy with the musical octave is observed. It was supposed, that each planet emits musical tone at its rotation, and all system of orbits derivates the celestial harmony, the "music of spheres".
Possible, the idea of the overall Universe harmony, expressed figuratively by Pythagoreans as the "music of spheres", inspired of Johannes Kepler to search regularities in the planet motion by using "Platonic Solids" (about it we already told on the page of our Museum dedicated to Kepler).
The searches of regularities in the planet arrangement and rotations around of the Sun are continued up to now. More recently (1978) the Russian astronomer Butusov calculated the mean planet's cycle times and compared them to the "golden" geometrical progression. The rather precise conformity was found. The obtained regularity is abided with reliability of 95 %, the average deviation of the predicted data from the actual ones is about 4%.
Butusov established, that the ratios of the adjacent planets cycle times around of the Sun are equal or the golden proportion 1,618, or its square 2,618. Also Butusov discovered the following reguliarity:
"The frequencies and the frequencies differences of planet's circulations form the frequency spectrum with the interval, equal to t, i.e. the spectrum constructed on the "golden section"! In other words, the spectrum of gravitational and acoustic disturbances created by the planets represents by itself the consonance chord, the most perfect chord from the acoustic point of view ...
It seems rather surprising, that Kepler who wrote about the golden section and studied the problem of the Universe harmony cannot discover this regularity!
Finishing this paragraph, we can make a conclusion, that the statements of Pythagoreans and Kepler about the " music of spheres" really correspond to the actual facts, instead of only symbolical".
What is the cause of such "strange" behavior of planets, which motions are subjected to the "golden section"?
In 1988 the relevant scientific discovery was made in the mechanics field. This discovery certified an existence of the new natural phenomenon, the synchronization of the rotated bodies based on the resonance phenomenon, which results to the fact that the definite phase relations are established between speeds of the rotated bodies.
There is a question: whether is the resonance phenomenon the "main conductor of the planet's cosmic ensemble"? The mathematical calculations given by Butusov demonstrate, that the solutions of the algebraic equations describing the resonance phenomena between planets are reduced really to either the golden proportion or its square.
A significance of the resonance phenomenon in the Nature and Engineering is difficult for overestimating. In the Engineering the resonance phenomenon is taken into consideration at calculation of machine designs and other engineering facilities.
The resonance phenomenon underlies the harmonic combination of tones in musical works. The miscellaneous biorhythms of the human body, functioning its separate organs, for example, heart palpation are submitted to the resonance phenomenon.
In the last years the hypothesis, which explains the nature of harmonic proportions, in particular, the golden proportion, by the resonance phenomenon, appeared. The harmonic proportions of the alive organisms ensuring their life-activity also are caused by the resonance phenomenon. According to this hypothesis the resonance as the invisible conductor adjusts systems, integrates them in the harmonic whole, subordinates to the overall life rhythm. Without the resonance there is no melody, there is no charm of musical works affecting to our hearts.
The planet arrangement and circulations regularities given above and based on the golden proportion are rather convincing. It is possible to expect, that the laws of development of different natural systems, the laws of their growth are not so miscellaneous and are tracked in the most different systems. In it the unity of the nature also shows. The idea of such unity based on development of the same regularities in heterogeneous natural phenomena kept its actuality from Pythagor to our days.