Journal of Aeronautics & Aerospace Engineering
Open Access

Development of the statistical theory of forming cosmogonical bodies to explain a stability of the orbital movements of planets and the forms of planetary orbits

2^nd International Conference and Exhibition on Satellite & Space Missions

July 21-23, 2016 Berlin, Germany

Alexander M Krot

United Institute of Informatics Problems of National Academy of Sciences, Belarus

Scientific Tracks Abstracts: J Aeronaut Aerospace Eng

Abstract :

This work investigates the stability and forms of planetary orbits in exoplanetary systems based on a statistical theory of forming cosmogonical bodies. We show that knowledge of some orbital characteristics of multi-planet extrasolar systems refines the knowledge of the parameters of the stars based on the combined Keplerâ�?�?s 3rd law with universal stellar law (3KL-USL). The proposed 3KL-USL predicts statistical oscillations of circular motion of planets around stars. This work applies the statistical theory of forming cosmogonical bodies based on model of gravitating spheroidal body to explore forms of planetary orbits with regard to Alfv�?©nâ�?�? Arrheniusâ�?�? oscillating forces in the Solar system as well as other exoplanetary systems. Unlike the traditional approaches we show that due to the Alfv�?©nâ�?�?Arrheniusâ�?�? oscillating force mainly the bodies moving in a remote zone of a spheroidal body have elliptic and inclined trajectories. We explain an origin of Alfv�?©nâ�?�?Arrheniusâ�?�? radial and axial oscillations modifying forms of planetary orbits within the framework of the statistical theory of forming cosmogonical bodies. We find that temporal deviation of the gravitational compression function of a spherically symmetric spheroidal body (under the condition of mechanical quasi equilibrium) induces an additional periodic force. In turn, as shown here if the additional periodic force becomes counterbalance to the gravitational force then the principle of an anchoring mechanism is realized in exoplanetary systems, i.e. the stability of planetary orbits occurs. We also note that the spatial deviation of the gravitational potential of a rotating spheroidal body from a spherically symmetric one implies a difference in the values of the radial and the axial orbital oscillations (even in the case of its mechanical equilibrium), therefore the interference of these orbital oscillations can lead to the non-uniform rotation of stellar layers at different latitudes of star.

Biography :

Alexander M Krot is a Head of the Laboratory of Self-Organization System Modeling at the United Institute of Informatics Problems of the National Academy of Sciences of Belarus. He graduated from the Belarusian State University, Department of Radiophysics in 1982. He received PhD in 1985, then degree of Doctor of Sciences (DSc) in 1991 and Professor degree in 1997. He has published 275 scientific works including 3 monographs and more than 60 articles in refereed journals.

Email: alexkrot@vak.org.by