Friday, 13 August 2021

Periodic Solution of Two-Body Problem of Classical Electrodynamics with Radiation Terms | Chapter 5 | Current Approaches in Science and Technology Research Vol. 12

 The current work is an updated version of a previous one in which we showed the existence-uniqueness of periodic motion in the classical electrodynamics two-body issue. With respect to the unknown velocities, the resultant system of equations of motion is of the neutral type, with both retarded and advanced arguments depending on the unknown trajectories. We employ an operator that was first introduced in a previous publication. It has a fixed point that is a periodic solution to the problem at hand. A periodic solution's existence-uniqueness denotes the presence of closed orbits. Bohr-Sommerfeld stationary states, on the other hand, are a result of classical electrodynamics. Radiation terms are chosen so as not to damage the hydrogen atom's stability.


Author (S) Details

Dr. Vasil G. Angelov
Department of Mathematics, University of Mining and Geology “St. I. Rilski”, 1700 Sofia, Bulgaria.

View Book :- https://stm.bookpi.org/CASTR-V12/article/view/2597

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