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| File | Description | Size | Format | |
|---|---|---|---|---|
| 1361-6544_ac4c2b.pdf | 465.71 kB | Adobe PDF | View/Open |
| Title: | Variational existence proof for multiple periodic orbits in the planar circular restricted three-body problem |
| Authors: | Kajihara, Yuika   Shibayama, Mitsuru |
| Author's alias: | 梶原, 唯加 柴山, 允瑠 |
| Issue Date: | Mar-2022 |
| Publisher: | IOP Publishing |
| Journal title: | Nonlinearity |
| Volume: | 35 |
| Issue: | 3 |
| Start page: | 1431 |
| End page: | 1446 |
| Abstract: | The restricted three-body problem (R3BP) is an important research area that deals with significant issues in celestial mechanics, such as analyzing asteroid movement behavior and orbit design for space probes. We aim to show the existence of periodic orbits in the planar circular R3BP. To find these orbits, we adapt a variational approach and symmetry. |
| Rights: | This is the Accepted Manuscript version of an article accepted for publication in [Nonlinearity]. IOP Publishing Ltd is not responsible for any errors or omissions in this version of the manuscript or any version derived from it. The Version of Record is available online at https://doi.org/10.1088/1361-6544/ac4c2b. The full-text file will be made open to the public on 4 February 2023 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/2433/269308 |
| DOI(Published Version): | 10.1088/1361-6544/ac4c2b |
| Appears in Collections: | Journal Articles |
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