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

Computer Science – Sound

Scientific paper

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

Scientific paper

Two solutions representing the virial oscillations of celestial bodies are shown to be valid in cases where Coulomb interactions are taken into account, and an expression for potential energy is derived from the sound velocity for large-scale time averaging of the effects of Coulomb interactions. The universality of the expression for all states of the substance of celestial bodies shows that the earlier solution of Jacobi's gravitational and Coulomb interactions virial equation is correct. It is also shown that appropriate models can be used that employ the expression of the energy of Coulomb interactions for small time averaging. The derivation of Jacobi's equation is obtained through the Hamiltonian function.

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