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The Characterization of the Variational Minimizers for Spatial Restricted N+1-Body Problems
Joint Authors
Li, Fengying
Zhao, Xiaoxiao
Zhang, Shiqing
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-5, 5 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-05-27
Country of Publication
Egypt
No. of Pages
5
Main Subjects
Abstract EN
We use Jacobi's necessary condition for the variational minimizer to study the periodic solution for spatial restricted N+1-body problems with a zero mass on the vertical axis of the plane for N equal masses.
We prove that the minimizer of the Lagrangian action on the anti-T/2 or odd symmetric loop space must be a nonconstant periodic solution for any 2≤N≤472; hence the zero mass must oscillate, so that it cannot be always in the same plane with the other bodies.
This result contradicts with our intuition that the small mass should always be at the origin.
American Psychological Association (APA)
Li, Fengying& Zhang, Shiqing& Zhao, Xiaoxiao. 2013. The Characterization of the Variational Minimizers for Spatial Restricted N+1-Body Problems. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-5.
https://search.emarefa.net/detail/BIM-502827
Modern Language Association (MLA)
Li, Fengying…[et al.]. The Characterization of the Variational Minimizers for Spatial Restricted N+1-Body Problems. Abstract and Applied Analysis No. 2013 (2013), pp.1-5.
https://search.emarefa.net/detail/BIM-502827
American Medical Association (AMA)
Li, Fengying& Zhang, Shiqing& Zhao, Xiaoxiao. The Characterization of the Variational Minimizers for Spatial Restricted N+1-Body Problems. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-5.
https://search.emarefa.net/detail/BIM-502827
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-502827