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ファイル | 記述 | サイズ | フォーマット | |
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s10569-015-9657-9.pdf | 1.21 MB | Adobe PDF | 見る/開く |
タイトル: | Three topologically nontrivial choreographic motions of three bodies |
著者: | Šuvakov, Milovan Shibayama, Mitsuru |
キーワード: | Three-body problem Choreography Stability Homotopy classes |
発行日: | Feb-2016 |
出版者: | Springer Netherlands |
誌名: | Celestial Mechanics and Dynamical Astronomy |
巻: | 124 |
号: | 2 |
開始ページ: | 155 |
終了ページ: | 162 |
抄録: | Choreographies are periodic orbits in which all bodies move on the same trajectory with equal time delay. The best known three-body choreography is figure-eight orbit. Here we introduce a search method specialized for choreographies and present three new orbits with vanishing angular momentum that are the first clear examples of choreographies that cannot be described as k-th powers of the figure-eight solution, according to the topological classification of orbits. We have also found 17 new “powers of the eight” choreographies. According to our numerical computation, one of two distinct k = 7 choreographies is linearly stable. |
著作権等: | This is a post-peer-review, pre-copyedit version of an article published in Celestial Mechanics and Dynamical Astronomy. The final authenticated version is available online at: http://dx.doi.org/10.1007/s10569-015-9657-9. 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/2433/240755 |
DOI(出版社版): | 10.1007/s10569-015-9657-9 |
出現コレクション: | 学術雑誌掲載論文等 |
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