TY  - JOUR
T1  - The Electromagnetic Three-Body Problem With Radiation Terms - Derivation of Equations of Motion (I)
AU  - Angelov, Vasil
PY  - 2020
DA  - June
JF  - Results in Nonlinear Analysis
JO  - RNA
PB  - Erdal KARAPINAR
WT  - DergiPark
SN  - 2636-7556
SP  - 45
EP  - 58
VL  - 3
IS  - 2
LA  - en
AB  - The primary purpose of the present paper is to continue the previous investigations of the author and apply the technique from the two-body problem of classical electrodynamics to the three-body problem. We derive equations of motion with radiation terms which are neutral type nonlinear differential equations with state-dependent delays. The derivation approach is analogous to that of the two body-problem, which allows a unified consideration of the problem for any number of bodies. In the next paper, we prove the existence of periodic solution of the three-body problem and in such a way the Bohr-Sommerfeld postulate for stationary states is confirmed.
KW  - Classical electrodynamics
KW  - Three-body problem
KW  - Radiation terms
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UR  - https://dergipark.org.tr/en/pub/rna/issue//748723
L1  - https://dergipark.org.tr/en/download/article-file/1138877
ER  -