Research Article

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

Volume: 4 Number: 1 March 31, 2021
EN

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

Abstract

In the present paper, the spin equations for the 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 the next paper.

Keywords

References

  1. [1] V.G. Angelov, The N-body problem of classical electrodynamics” Physics Essays, vol. 6, No.2, 1993, 204-211.
  2. [2] V.G. Angelov, Two-body problem of classical electrodynamics with radiation terms – derivation of equations (I), International Journal of Theoretical and Mathematical Physics, vol. 5, 2015, 119-135.
  3. [3] V.G. Angelov, Two-body problem of classical electrodynamics with radiation terms – periodic solutions (II), International Journal of Theoretical and Mathematical Physics, vol. 6, No.1, 2016, 1-25.
  4. [4] V.G. Angelov, Spin two- body problem of classical electrodynamics with radiation terms (I) – derivation of spin equations, International Journal of Theoretical and Mathematical Physics, vol. 7, No.5, 2017, 132-154.
  5. [5] V. G. Angelov, The electromagnetic three-body problem with radiation terms – derivation of equations of motion (I), Results in Nonlinear Analysis, vol. 3, No.2, 2020, 45-58.
  6. [6] V.G. Angelov, The electromagnetic three-body problem with radiation terms – existence-uniqueness of periodic orbit (II), Results in Nonlinear Analysis, vol. 3, No.3, 2020, 137- 158.
  7. [7] A.O. Barut, C. Onem, and N. Unal, The Classical Relativistic Two-Body Problem with Spin and Self-Interactions, Int. Centre for Theoretical Physics, Trieste, 1989, 1-19.
  8. [8] G. Bauer, D.-A. Deckert, D. Durr, and G. Hinrichs, On irreversibility and radiation in classical electrodynamics of point particles, Journal of Statistical Physics, vol. 154, No.1-2: 610, 12 pages, 2014.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Publication Date

March 31, 2021

Submission Date

September 3, 2020

Acceptance Date

November 25, 2020

Published in Issue

Year 2021 Volume: 4 Number: 1

APA
Angelov, V. (2021). Spin Three-Body Problem of Classical Electrodynamics with Radiation Terms (I) Derivation of Spin Equations. Results in Nonlinear Analysis, 4(1), 1-20. https://doi.org/10.53006/rna.833345
AMA
1.Angelov V. Spin Three-Body Problem of Classical Electrodynamics with Radiation Terms (I) Derivation of Spin Equations. RNA. 2021;4(1):1-20. doi:10.53006/rna.833345
Chicago
Angelov, Vasil. 2021. “Spin Three-Body Problem of Classical Electrodynamics With Radiation Terms (I) Derivation of Spin Equations”. Results in Nonlinear Analysis 4 (1): 1-20. https://doi.org/10.53006/rna.833345.
EndNote
Angelov V (March 1, 2021) Spin Three-Body Problem of Classical Electrodynamics with Radiation Terms (I) Derivation of Spin Equations. Results in Nonlinear Analysis 4 1 1–20.
IEEE
[1]V. Angelov, “Spin Three-Body Problem of Classical Electrodynamics with Radiation Terms (I) Derivation of Spin Equations”, RNA, vol. 4, no. 1, pp. 1–20, Mar. 2021, doi: 10.53006/rna.833345.
ISNAD
Angelov, Vasil. “Spin Three-Body Problem of Classical Electrodynamics With Radiation Terms (I) Derivation of Spin Equations”. Results in Nonlinear Analysis 4/1 (March 1, 2021): 1-20. https://doi.org/10.53006/rna.833345.
JAMA
1.Angelov V. Spin Three-Body Problem of Classical Electrodynamics with Radiation Terms (I) Derivation of Spin Equations. RNA. 2021;4:1–20.
MLA
Angelov, Vasil. “Spin Three-Body Problem of Classical Electrodynamics With Radiation Terms (I) Derivation of Spin Equations”. Results in Nonlinear Analysis, vol. 4, no. 1, Mar. 2021, pp. 1-20, doi:10.53006/rna.833345.
Vancouver
1.Vasil Angelov. Spin Three-Body Problem of Classical Electrodynamics with Radiation Terms (I) Derivation of Spin Equations. RNA. 2021 Mar. 1;4(1):1-20. doi:10.53006/rna.833345

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