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Virial oscillations of celestial bodies-I. The effect of electrostatic interactions

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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 form-factors 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.

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Authors and Affiliations

  1. Water Problems Institute of the Academy of Sciences of the U.S.S.R., 13/3, Sadovaya-Chernogriazskaya, 103064, Moscow, USSR

    V. I. Ferronsky, S. A. Denisik & S. V. Ferronsky

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  1. V. I. Ferronsky
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  2. S. A. Denisik
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  3. S. V. Ferronsky
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Ferronsky, V.I., Denisik, S.A. & Ferronsky, S.V. Virial oscillations of celestial bodies-I. The effect of electrostatic interactions. Celestial Mechanics 23, 243–267 (1981). https://doi.org/10.1007/BF01230729

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  • DOI: https://doi.org/10.1007/BF01230729

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