Some convex central configurations in the planar five-body problem.
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| Title: | Some convex central configurations in the planar five-body problem. |
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| Authors: | Fernandes, Antonio Carlos1 (AUTHOR) acfernandes@unifei.edu.br, Garcia, Braulio Augusto1 (AUTHOR) braulio@unifei.edu.br, Mello, Luis Fernando1 (AUTHOR) lfmelo@unifei.edu.br, Santos, Lucas Ruiz dos1 (AUTHOR) lucasruiz@unifei.edu.br |
| Source: | Zeitschrift für Angewandte Mathematik und Physik (ZAMP). Apr2026, Vol. 77 Issue 4, p1-15. 15p. |
| Subjects: | Pentagons, Plane geometry, Three-body problem, Celestial mechanics |
| Abstract: | Convex irregular pentagons can have one, two, or three right interior angles. There are two possibilities for the case with three right interior angles: The right angles can be consecutive or non-consecutive. This article investigates some central configurations of the five-body problem in a plane with the following properties: The bodies are at the vertices of a convex pentagon, and three interior angles of the pentagon are right angles. Central configurations are obtained both with and without symmetries. [ABSTRACT FROM AUTHOR] |
| Copyright of Zeitschrift für Angewandte Mathematik und Physik (ZAMP) is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
| FullText | Text: Availability: 0 |
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| Header | DbId: egs DbLabel: Engineering Source An: 193283417 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1007/s00033-026-02777-x Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 15 StartPage: 1 Subjects: – SubjectFull: Pentagons Type: general – SubjectFull: Plane geometry Type: general – SubjectFull: Three-body problem Type: general – SubjectFull: Celestial mechanics Type: general Titles: – TitleFull: Some convex central configurations in the planar five-body problem. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Fernandes, Antonio Carlos – PersonEntity: Name: NameFull: Garcia, Braulio Augusto – PersonEntity: Name: NameFull: Mello, Luis Fernando – PersonEntity: Name: NameFull: Santos, Lucas Ruiz dos IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 04 Text: Apr2026 Type: published Y: 2026 Identifiers: – Type: issn-print Value: 00442275 Numbering: – Type: volume Value: 77 – Type: issue Value: 4 Titles: – TitleFull: Zeitschrift für Angewandte Mathematik und Physik (ZAMP) Type: main |
| ResultId | 1 |
