A note on the two nested regular polygonal central configurations
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- by Zhiqiang Wang and Fengying Li PDF
- Proc. Amer. Math. Soc. 143 (2015), 4817-4822 Request permission
Abstract:
This paper is concerned with nested polygonal central configurations for the Newtonian 2n-body problem. We show that when two nested regular n-polygons ($n\geq 3$) with masses located at the vertices form a central configuration where the twisted angle $\theta$ is zero, then the value of masses in each separate polygon must be equal.References
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Additional Information
- Zhiqiang Wang
- Affiliation: Department of mathematics, Sichuan University, Chengdu, Sichuan 610064, People’s Republic of China
- Email: Wangzhiqiang0213@gmail.com
- Fengying Li
- Affiliation: School of Economics and Mathematics, Southwestern University of Finance and Economics, Chengdu, Sichuan, 611130, People’s Republic of China
- Email: lify0308@163.com
- Received by editor(s): July 31, 2014
- Received by editor(s) in revised form: August 24, 2014
- Published electronically: April 2, 2015
- Additional Notes: Fengying Li is the corresponding author.
- Communicated by: Yingfei Yi
- © Copyright 2015 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 143 (2015), 4817-4822
- MSC (2010): Primary 34A34, 70F10, 70F15
- DOI: https://doi.org/10.1090/S0002-9939-2015-12618-4
- MathSciNet review: 3391039