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dc.contributor.authorKajihara, Yuikaen
dc.contributor.authorShibayama, Misturuen
dc.contributor.alternative梶原, 唯加ja
dc.contributor.alternative柴山, 允瑠ja
dc.date.accessioned2019-08-19T02:14:35Z-
dc.date.available2019-08-19T02:14:35Z-
dc.date.issued2019-07-
dc.identifier.issn1078-0947-
dc.identifier.issn1553-5231-
dc.identifier.urihttp://hdl.handle.net/2433/243339-
dc.description.abstractThe 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.en
dc.format.mimetypeapplication/pdf-
dc.language.isoeng-
dc.publisherAmerican Institute of Mathematical Sciencesen
dc.rightsThis 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.en
dc.rightsThe 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'.en
dc.rights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。ja
dc.rightsThis is not the published version. Please cite only the published version.en
dc.subjectVariational methodsen
dc.subjectbrake orbitsen
dc.subjectthe 2-center problemen
dc.titleVariational proof of the existence of brake orbits in the planar 2-center problemen
dc.typejournal article-
dc.type.niitypeJournal Article-
dc.identifier.jtitleDiscrete and Continuous Dynamical Systems- Series Aen
dc.identifier.volume39-
dc.identifier.issue10-
dc.identifier.spage5785-
dc.identifier.epage5797-
dc.relation.doi10.3934/dcds.2019254-
dc.textversionauthor-
dc.addressDepartment of Applied Mathematics and Physics, Graduate School of Informatics, Kyoto Universityen
dc.addressDepartment of Applied Mathematics and Physics, Graduate School of Informatics, Kyoto Universityen
dcterms.accessRightsopen access-
datacite.date.available2020-07-01-
datacite.awardNumber26800059-
datacite.awardNumber18K03366-
dc.identifier.pissn1078-0947-
dc.identifier.eissn1553-5231-
jpcoar.funderName日本学術振興会ja
jpcoar.funderName日本学術振興会ja
jpcoar.funderName.alternativeJapan Society for the Promotion of Science (JSPS)en
jpcoar.funderName.alternativeJapan Society for the Promotion of Science (JSPS)en
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