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| File | Description | Size | Format | |
|---|---|---|---|---|
| s1560354721040079.pdf | 151.34 kB | Adobe PDF | View/Open |
| Title: | Nonintegrability of the Reduced Planar Three-body Problem with Generalized Force |
| Authors: | Shibayama, Mitsuru   Yamada, Junji |
| Author's alias: | 柴山, 允瑠 山田, 淳二 |
| Keywords: | nonintegrability three-body problem |
| Issue Date: | Jul-2021 |
| Publisher: | Pleiades Publishing Ltd Springer Nature |
| Journal title: | Regular and Chaotic Dynamics |
| Volume: | 26 |
| Issue: | 4 |
| Start page: | 439 |
| End page: | 455 |
| Abstract: | 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. |
| Rights: | 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(Published Version): | 10.1134/s1560354721040079 |
| Appears in Collections: | Journal Articles |
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