The Electromagnetic Three-Body Problem With Radiation Terms - Derivation of Equations of Motion (I)
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 differenti...
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| Format: | Article |
| Language: | English |
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Erdal KARAPINAR
2020-06-01
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| Series: | Results in Nonlinear Analysis |
| Subjects: | |
| Online Access: | https://dergipark.org.tr/en/download/article-file/1138877 |
| _version_ | 1797905836287197184 |
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| author | Vasil G. Angelov |
| author_facet | Vasil G. Angelov |
| author_sort | Vasil G. Angelov |
| collection | DOAJ |
| description | 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 statedependent 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. |
| first_indexed | 2024-04-10T10:11:32Z |
| format | Article |
| id | doaj.art-a72ccfdc8cc842538a1c8a74b5b56cda |
| institution | Directory Open Access Journal |
| issn | 2636-7556 2636-7556 |
| language | English |
| last_indexed | 2024-04-10T10:11:32Z |
| publishDate | 2020-06-01 |
| publisher | Erdal KARAPINAR |
| record_format | Article |
| series | Results in Nonlinear Analysis |
| spelling | doaj.art-a72ccfdc8cc842538a1c8a74b5b56cda2023-02-15T16:22:08ZengErdal KARAPINARResults in Nonlinear Analysis2636-75562636-75562020-06-01324558The Electromagnetic Three-Body Problem With Radiation Terms - Derivation of Equations of Motion (I)Vasil G. AngelovThe 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 statedependent 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.https://dergipark.org.tr/en/download/article-file/1138877classical electrodynamicsthree-body problemradiation terms |
| spellingShingle | Vasil G. Angelov The Electromagnetic Three-Body Problem With Radiation Terms - Derivation of Equations of Motion (I) Results in Nonlinear Analysis classical electrodynamics three-body problem radiation terms |
| title | The Electromagnetic Three-Body Problem With Radiation Terms - Derivation of Equations of Motion (I) |
| title_full | The Electromagnetic Three-Body Problem With Radiation Terms - Derivation of Equations of Motion (I) |
| title_fullStr | The Electromagnetic Three-Body Problem With Radiation Terms - Derivation of Equations of Motion (I) |
| title_full_unstemmed | The Electromagnetic Three-Body Problem With Radiation Terms - Derivation of Equations of Motion (I) |
| title_short | The Electromagnetic Three-Body Problem With Radiation Terms - Derivation of Equations of Motion (I) |
| title_sort | electromagnetic three body problem with radiation terms derivation of equations of motion i |
| topic | classical electrodynamics three-body problem radiation terms |
| url | https://dergipark.org.tr/en/download/article-file/1138877 |
| work_keys_str_mv | AT vasilgangelov theelectromagneticthreebodyproblemwithradiationtermsderivationofequationsofmotioni AT vasilgangelov electromagneticthreebodyproblemwithradiationtermsderivationofequationsofmotioni |