V.4 No 1

39

On orbital stability of oscillators

On physical nature of postulate of existence of stable stationary states of oscillators

S. B. Karavashkin and O.N. Karavashkina

Special Laboratory for Fundamental Elaboration SELF

187 apt., 38 bldg., Prospect Gagarina, Kharkov, 61140, Ukraine

phone +38 (057) 7370624;

e-mail: selftrans@yandex.ru   , selflab@mail.ru

We analyse electron orbiting in atom and why its orbit was postulated stationary. The cause is the insufficient attention to the mutual revolution of electron and nucleus around their common centre of inertia. We study the field of proton in classical formalism, given its orbiting, and reveal the shape of this field - diverging spiral with tangential component which stabilises the electron's orbit. This field has the frequency of stationary orbiting electron and the measure of inertia proportional to that of proton, which allows not only to stabilise the orbit of electron in the conservative system, but returns the electron to this orbit when pulsing external affections. Under variation of kinetic temperature of atom, this field, retaining its structure, changes the tuning for new parameters of electron's orbiting.

The revealed field is inherent in not only atomic systems but also in macro-systems, up to celestial bodies like galaxies. Despite considerable difference in scale of fields, conditions of their formation and pattern of affection onto periphery of systems, the structure of dynamic field remains and has the shape of diverging spiral. The features of field structure also remain with it, both for electric and gravitation fields. In particular, in galaxies this field causes formation of spiral arms concentrating the gas-dust complexes and condensing the stars of second generation. We analyse different conditions of formation of such dynamic fields and their affection onto the observed structures of star systems.

Key words: mathematical physics, theoretical physics, astronomy, cosmology, field structure of atom, orbit of electron, precession of nucleus, postulate of stationary orbits, galaxy arms, condition of star formation

Classification by MS 2000: 31C99, 37C27, 37N05, 70F05, 70F15, 70K20, 70M20, 85A05, 85A15, 85A40

Classification by PASC 2001: 31.25.Eb, 31.30.-i, 45.50.-j, 45.50.Jf, 45.50.Pk, 95.30.-k, 87.10.Kc, 97.10.Gz, 97.60.Lf, 98.10.+z, 98.35.Df, 98.35.Eg, 98.35.Hj, 98.35.Jk, 98.52.Eh, 98.52.Nr, 98.62.Hr, 98.62.Js