V.4 No 1

51

On orbital stability of oscillators

As we showed in the previous item, the cause, why spiral dynamic field of atomic nucleus forms, is its motion around the mass centre of the atom. As we carried out our study in frames of classical formalism, the size of studied system is not the matter of principle, as supporters of quantum theory try to say. When the size changed, parameters of orbital motion and charge of body change of course, as well as extension of excited field, but principal regularities of spiral dynamic arm formation fully remain, since to form such structure, not the size of system but the charge of body orbiting with a definite period is important. If in case of atom the orbital motion of nucleus was the consequence of its interaction with orbital electron, in case of macro-bodies such interaction with positively (or negatively) charged body can be not a determining cause. For macro-bodies it will be sufficient, if within them occur some processes causing the deviation of mass centre of body from its geometric axis (for example, asymmetric arrangement of masses forming the nucleus). The radius of motion of mass centre will be with it much larger than the radius which could arise due to interaction of nucleus with negatively charged periphery. The more that, as we showed in [11], at the initial stages of celestial bodies formation, the negative charge of envelopes is approximately equally distributed around the nucleus. And only after the dynamic field formed (and as a consequence of formation of this field) the periphery of celestial body acquires some structure.

At the same time, the cause can be the gravitational interaction of two or more bodies. If in case of proton we supposed it a point body and its orbit naturally was located out of proton, in case of macro-bodies the orbit of mass centre of the body can be located fully within this body. As we said above, the dynamic field to arise, the periodic motion of charged macro-body as the whole along some closed curve would be sufficient. And not of importance is, whether the size of body will be more either less than the diameter of its orbit. Just the motion is able to excite the spiral dynamic field in space surrounding this massive body. And just these processes we observe in stars and galactic systems.

One more cause, why the orbital motion of charge in macro-bodies arises, can be the asymmetry of the charge centre of rotating body. As is known, calculating in modelling the field of charged body, we always suppose an uniform distribution of charge on the surface of this body. This approximation is quite reasonable in cases when we deal, for example, with a single metallic sphere laying far from other bodies. But in case of stellar objects we cannot tell that the body is thermodynamically balanced. In stellar body there permanently appear considerable transfers of charged masses both inside and on the surface; protuberances arise and locally spray into the environment large charge, local magnetic fields form and also considerably affect the redistribution of charge on the surface. To illustrate it, in Fig. 11 we show the Sun in ultraviolet.

a

b

Fig. 11. Photograph of the Sun made through the ultraviolet filter: a - positive image, b - negative. Copied at   http://photojournal.jpl.nasa.gov/catalog/PIA03150

Naturally, with such great inhomogeneity of charge distribution, the conventional centre of charge of stellar body will not coincide with the geometric centre of body, and this deviation can be much more than the mass centre displacement. There can take place the case when the celestial body has a significant amplitude of spiral field even at small asymmetry of the body. If we also take into account that the nucleus asymmetry is proportional to, how much active are the processes within the body, the amplitude of spiral field can characterise this activity.

Thus we see, the charge redistribution on the surface of celestial body also can cause the dynamic field. If the body rotated, the centre of its charge also describes some circumference, and its radius can be much more than that of rotation of mass centre.