Periodic Solution of Two-Body Problem of Classical Electrodynamics with Radiation Terms

Angelov, Vasil G. (2021) Periodic Solution of Two-Body Problem of Classical Electrodynamics with Radiation Terms. In: Current Approaches in Science and Technology Research Vol. 12. B P International, pp. 42-68. ISBN 978-93-91473-66-2

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Abstract

The present paper is an improved version of a previous one, where we have proved an existence-uniqueness of periodic motion of two-body problem of classical electrodynamics. The system of equation of motion obtained is of a neutral type with respect to the unknown velocities with both retarded and advanced arguments depending on the unknown trajectories. We use an operator introduced in a previous our paper. Its fixed point is a periodic solution of the problem in question. An existence-uniqueness of a periodic solution means an existence of closed orbits. But this means that Bohr-Sommerfeld stationary states are a consequence of classical electrodynamics. Radiation terms are chosen such so as not to disturb the stability of the hydrogen atom.

Item Type: Book Section
Subjects: GO for STM > Computer Science
Depositing User: Unnamed user with email support@goforstm.com
Date Deposited: 22 Dec 2023 07:15
Last Modified: 22 Dec 2023 07:15
URI: http://archive.article4submit.com/id/eprint/1860

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