Pyramidal central configurations and perverse solutions

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dc.contributor.authorOuyang, Tiancheng
dc.contributor.authorXie, Zhifu
dc.contributor.authorZhang, Shiqing
dc.date.accessioned2021-05-03T18:36:25Z
dc.date.available2021-05-03T18:36:25Z
dc.date.issued2004-09-10
dc.description.abstractFor 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.departmentMathematics
dc.formatText
dc.format.extent9 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationOuyang, T., Xie, Z., Zhang, S. (2004). Pyramidal central configurations and perverse solutions. <i>Electronic Journal of Differential Equations, 2004</i>(106), pp. 1-9.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/13479
dc.language.isoen
dc.publisherTexas State University-San Marcos, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2004, San Marcos, Texas: Texas State University-San Marcos and University of North Texas.
dc.subjectN-body problems
dc.subjectPyramidal central configuration
dc.subjectRegular polygonal base
dc.subjectPerverse solutions
dc.titlePyramidal central configurations and perverse solutions
dc.typeArticle

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