Pyramidal central configurations and perverse solutions

 dc.contributor.author Ouyang, Tiancheng dc.contributor.author Xie, Zhifu dc.contributor.author Zhang, Shiqing dc.date.accessioned 2021-05-03T18:36:25Z dc.date.available 2021-05-03T18:36:25Z dc.date.issued 2004-09-10 dc.description.abstract For n-body problems, a central configuration (CC) plays an important role. In this paper, we establish the relation between the spatial pyramidal central configuration (PCC) and the planar central configuration. We prove that the base of PCC is also a CC and we also prove that for some given conditions a planar CC can be extended to a PCC. In particular, if the pyramidal central configuration has a regular polygon base, then the masses of base are equal and the distance between the top vertex and the base is fixed and the mass of the top vertex is selective. Furthermore, the pyramidal central configuration gives rise to an example of a perverse solution in ℝ3. dc.description.department Mathematics dc.format Text dc.format.extent 9 pages dc.format.medium 1 file (.pdf) dc.identifier.citation Ouyang, T., Xie, Z., Zhang, S. (2004). Pyramidal central configurations and perverse solutions. Electronic Journal of Differential Equations, 2004(106), pp. 1-9. dc.identifier.issn 1072-6691 dc.identifier.uri https://hdl.handle.net/10877/13479 dc.language.iso en dc.publisher Texas State University-San Marcos, Department of Mathematics dc.rights Attribution 4.0 International dc.rights.uri https://creativecommons.org/licenses/by/4.0/ dc.source Electronic Journal of Differential Equations, 2004, San Marcos, Texas: Texas State University-San Marcos and University of North Texas. dc.subject N-body problems dc.subject Pyramidal central configuration dc.subject Regular polygonal base dc.subject Perverse solutions dc.title Pyramidal central configurations and perverse solutions dc.type Article

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