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| ファイル | 記述 | サイズ | フォーマット | |
|---|---|---|---|---|
| s1560354721040079.pdf | 151.34 kB | Adobe PDF | 見る/開く |
| タイトル: | Nonintegrability of the Reduced Planar Three-body Problem with Generalized Force |
| 著者: | Shibayama, Mitsuru   Yamada, Junji |
| 著者名の別形: | 柴山, 允瑠 山田, 淳二 |
| キーワード: | nonintegrability three-body problem |
| 発行日: | Jul-2021 |
| 出版者: | Pleiades Publishing Ltd Springer Nature |
| 誌名: | Regular and Chaotic Dynamics |
| 巻: | 26 |
| 号: | 4 |
| 開始ページ: | 439 |
| 終了ページ: | 455 |
| 抄録: | We consider the planar three-body problem with generalized potentials. Some nonintegrability results for these systems have been obtained by analyzing the variational equations along homothetic solutions. But we cannot apply it to several exceptional cases. For example, in the case of inverse-square potentials, the variational equations along homothetic solutions are solvable. We obtain sufficient conditions for nonintegrability for these exceptional cases by focusing on some particular solutions that are different from homothetic solutions. |
| 著作権等: | This version of the article has been accepted for publication, after peer review (when applicable) and is subject to Springer Nature’s AM terms of use, but is not the Version of Record and does not reflect post-acceptance improvements, or any corrections. The Version of Record is available online at: http://dx.doi.org/10.1134/s1560354721040079 The full-text file will be made open to the public on 09 August 2022 in accordance with publisher's 'Terms and Conditions for Self-Archiving'. This is not the published version. Please cite only the published version. この論文は出版社版でありません。引用の際には出版社版をご確認ご利用ください。 |
| URI: | http://hdl.handle.net/2433/269186 |
| DOI(出版社版): | 10.1134/s1560354721040079 |
| 出現コレクション: | 学術雑誌掲載論文等 |
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