Spin Three-Body Problem of Classical Electrodynamics with Radiation Terms (I) Derivation of Spin Equations

In the present paper spin equations for three-body problem of classical electrodynamics are introduced. They should be considered jointly with 3-body equations of motion derived in a previous paper of the author. The system of spin equations is an overdetermined one. It is shown that the independent...

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Main Author: Vasil G. Angelov
Format: Article
Language:English
Published: Erdal KARAPINAR 2021-03-01
Series:Results in Nonlinear Analysis
Subjects:
Online Access:https://dergipark.org.tr/en/download/article-file/1422253
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author Vasil G. Angelov
author_facet Vasil G. Angelov
author_sort Vasil G. Angelov
collection DOAJ
description In the present paper spin equations for three-body problem of classical electrodynamics are introduced. They should be considered jointly with 3-body equations of motion derived in a previous paper of the author. The system of spin equations is an overdetermined one. It is shown that the independent spin equations are nine in number as many as the components of the unknown spin functions. The system obtained will be solved by the fixed-point method in a next paper.
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spelling doaj.art-b54d9e99f6744ffe9af06c1f58e84a002023-02-15T16:11:14ZengErdal KARAPINARResults in Nonlinear Analysis2636-75562021-03-0141120Spin Three-Body Problem of Classical Electrodynamics with Radiation Terms (I) Derivation of Spin EquationsVasil G. AngelovIn the present paper spin equations for three-body problem of classical electrodynamics are introduced. They should be considered jointly with 3-body equations of motion derived in a previous paper of the author. The system of spin equations is an overdetermined one. It is shown that the independent spin equations are nine in number as many as the components of the unknown spin functions. The system obtained will be solved by the fixed-point method in a next paper.https://dergipark.org.tr/en/download/article-file/1422253spin three-body problemclassical electrodynamicsspin equations
spellingShingle Vasil G. Angelov
Spin Three-Body Problem of Classical Electrodynamics with Radiation Terms (I) Derivation of Spin Equations
Results in Nonlinear Analysis
spin three-body problem
classical electrodynamics
spin equations
title Spin Three-Body Problem of Classical Electrodynamics with Radiation Terms (I) Derivation of Spin Equations
title_full Spin Three-Body Problem of Classical Electrodynamics with Radiation Terms (I) Derivation of Spin Equations
title_fullStr Spin Three-Body Problem of Classical Electrodynamics with Radiation Terms (I) Derivation of Spin Equations
title_full_unstemmed Spin Three-Body Problem of Classical Electrodynamics with Radiation Terms (I) Derivation of Spin Equations
title_short Spin Three-Body Problem of Classical Electrodynamics with Radiation Terms (I) Derivation of Spin Equations
title_sort spin three body problem of classical electrodynamics with radiation terms i derivation of spin equations
topic spin three-body problem
classical electrodynamics
spin equations
url https://dergipark.org.tr/en/download/article-file/1422253
work_keys_str_mv AT vasilgangelov spinthreebodyproblemofclassicalelectrodynamicswithradiationtermsiderivationofspinequations