Satellite

Biography

Biography: Alexander M Krot

Abstract

This work considers the universal stellar law (USL) for explanation of stabilities and forms of planetary orbits in extrasolar systems based on the statistical theory of gravitating spheroidal bodies. It shows that knowledge of some orbital characteristics for multi-planet extrasolar systems refines own parameters of stars based on the combined 3rd Kepler’s law with universal stellar law (3KL-USL). The proposed 3KL-USL explains the stability of planetary orbits in the extrasolar systems entirely and predicts statistical oscillations of the orbital angular velocity of rotation of planets around stars. This work applies the statistical theory of gravitating spheroidal bodies to explore forms of planetary orbits with regard to the Alfvén’s oscillating forces in the Solar system as well as other exoplanetary systems. It explains an origin of Alfvén’s radial and axial oscillations modifying forms of planetary orbits within the framework of the statistical theory of gravitating spheroidal bodies. This work finds that temporal deviation of the gravitational compression function of a spherically symmetricalspheroidal body (under the condition of its mechanical quasi equilibrium) induces the additional periodic force. In turn, as shown here if the additional periodic force becomes counter balance to the gravitational force then the principle of anchoring mechanism is realized in extrasolar systems, i.e. the stability of planetary orbits occurs. The work also notes that spatial deviation of gravitational potential of the rotating spheroidal body from spherically symmetrical one implies the difference of values of the radial and the axial orbital oscillations (even in the case of its mechanical equilibrium).