Virial Oscillations of Celestial Bodies  Part One  the Effect of Electrostatic Interactions
Abstract
The Hamiltonian form of Jacobi's virial equation, which permits obtaining solution of the equation while considering both gravitational and Coulomb interactions, is given for the system of the material points constituting a celestial body. On the basis of the numerical solutions, in the framework of the plasma model of a celestial body, it is shown that for the Coulomb interactions of charged particles the product of the formfactors α and β, entering expressions for the potential energy and the moment of inertia, remains constant. Without any model restrictions this conclusion is confirmed in case of the asymptotic time limit of simultaneous collision of all the charged particles of the system. A relationship between the potential energy of a spherically symmetrical celestial body and its mass through a phenomenological parameter, which is the sound velocity, is found from the consideration of the hydrostatic equilibrium condition of the body, taking the Coulomb interactions into account.
 Publication:

Celestial Mechanics
 Pub Date:
 March 1981
 DOI:
 10.1007/BF01230729
 Bibcode:
 1981CeMec..23..243F
 Keywords:

 Celestial Bodies;
 Celestial Mechanics;
 Coulomb Collisions;
 Electrostatics;
 Oscillations;
 Acoustic Velocity;
 Charged Particles;
 Mass Distribution;
 Potential Energy;
 Astronomy