New Classes of Spatial Central Configurations for N + N + 2-Body Problem
Joint Authors
Xuefei, Liu
Gan, Zhang
Jianmei, Luo
Chuntao, Zhang
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-19, 19 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-05-08
Country of Publication
Egypt
No. of Pages
19
Main Subjects
Abstract EN
Under arbitrary masses, in this paper, we discuss the existence of new families of spatial central configurations for the N + N + 2-body problem, N≥2.
We study some necessary conditions and sufficient conditions for a families of spatial double pyramidical central configurations (d.p.c.c.), where 2N bodies are at the vertices of a nested regular N-gons Γ1∪Γ2, and the other two bodies are symmetrically located on the straight line that is perpendicular to the plane that contains Γ1∪Γ2 and passes through the geometric center of Γ1∪Γ2.
We prove that if the bodies are in a d.p.c.c., then the masses on each N-gon are equal, and the other two are also equal.
And also we prove the existence and uniqueness of the central configurations for any given ratios of masses.
American Psychological Association (APA)
Xuefei, Liu& Chuntao, Zhang& Jianmei, Luo& Gan, Zhang. 2012. New Classes of Spatial Central Configurations for N + N + 2-Body Problem. Abstract and Applied Analysis،Vol. 2012, no. 2012, pp.1-19.
https://search.emarefa.net/detail/BIM-510560
Modern Language Association (MLA)
Xuefei, Liu…[et al.]. New Classes of Spatial Central Configurations for N + N + 2-Body Problem. Abstract and Applied Analysis No. 2012 (2012), pp.1-19.
https://search.emarefa.net/detail/BIM-510560
American Medical Association (AMA)
Xuefei, Liu& Chuntao, Zhang& Jianmei, Luo& Gan, Zhang. New Classes of Spatial Central Configurations for N + N + 2-Body Problem. Abstract and Applied Analysis. 2012. Vol. 2012, no. 2012, pp.1-19.
https://search.emarefa.net/detail/BIM-510560
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-510560