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| File | Description | Size | Format | |
|---|---|---|---|---|
| dcds.2019254.pdf | 118.82 kB | Adobe PDF | View/Open |
| Title: | Variational proof of the existence of brake orbits in the planar 2-center problem |
| Authors: | Kajihara, Yuika   Shibayama, Misturu |
| Author's alias: | 梶原, 唯加 柴山, 允瑠 |
| Keywords: | Variational methods brake orbits the 2-center problem |
| Issue Date: | Jul-2019 |
| Publisher: | American Institute of Mathematical Sciences |
| Journal title: | Discrete and Continuous Dynamical Systems- Series A |
| Volume: | 39 |
| Issue: | 10 |
| Start page: | 5785 |
| End page: | 5797 |
| Abstract: | The restricted three-body problem is an important subject that deals with significant issues referring to scientific fields of celestial mechanics, such as analyzing asteroid movement behavior and orbit designing for space probes. The 2-center problem is its simplified model. The goal of this paper is to show the existence of brake orbits, which means orbits whose velocities are zero at some times, under some particular conditions in the 2-center problem by using variational methods. |
| Rights: | This is a pre-copy-editing, author-produced PDF of an article accepted for publication in Discrete and Continuous Dynamical Systems- Series A following peer review. The definitive publisher-authenticated version Yuika Kajihara, Misturu Shibayama. Variational proof of the existence of brake orbits in the planar 2-center problem. Discrete & Continuous Dynamical Systems - A, 2019, 39 (10) : 5785-5797. is available online at: http://doi.org/10.3934/dcds.2019254. The full-text file will be made open to the public on 1 July 2020 in accordance with publisher's 'Terms and Conditions for Self-Archiving'. 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。 This is not the published version. Please cite only the published version. |
| URI: | http://hdl.handle.net/2433/243339 |
| DOI(Published Version): | 10.3934/dcds.2019254 |
| Appears in Collections: | Journal Articles |
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