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Periodic solutions for planar 2N-body problems
Author(s):
Shiqing
Zhang;
Qing
Zhou
Journal:
Proc. Amer. Math. Soc.
131
(2003),
2161-2170.
MSC (2000):
Primary 34C25, 34C15, 70F10
Posted:
November 6, 2002
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Abstract:
In this paper we study some necessary conditions and sufficient conditions for the nested polygonal solutions of planar 2N-body problems.
References:
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- 1.
- R. Abraham and J. Marsden, Foundations of Mechanics, 2nd ed. Benjamin/Cummings, London, 1978. MR 81e:58025
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 corps, Celest. Mech. 41(1988), 131-151. MR 89j:70014 - 3.
- W. D. MacMillan and W. Bartky, Permanent configurations in the problem of four bodies, Trans. AMS 34 (1932), 838-874.
- 4.
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- 5.
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- 6.
- L. M. Perko and E. L. Walter, Regular polygon solutions of the N-body problem, Proc. AMS 94(1985), 301-309. MR 86e:70004
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- S. Q. Zhang and Q. Zhou, Nested regular polygon solutions for planar 2N-body problems, Preprint, October, 2001.
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Additional Information:
Shiqing
Zhang
Affiliation:
Department of Mathematics, Chongqing University, Chongqing 400044, People's Republic of China
Address at time of publication:
Department of Mathematics, Shanghai Jiaotong University, Shanghai 200030, People's Republic of China
Email:
zhangshiqing@hotmail.msn.com
Qing
Zhou
Affiliation:
Department of Mathematics, East China Normal University, Shanghai 200062, People's Republic of China
DOI:
10.1090/S0002-9939-02-06795-3
PII:
S 0002-9939(02)06795-3
Keywords:
2N-body problems,
nested regular polygon periodic solutions,
circulant matrices
Received by editor(s):
November 7, 2001
Received by editor(s) in revised form:
February 25, 2002
Posted:
November 6, 2002
Additional Notes:
This work was supported by the NSF of China
Communicated by:
Carmen C. Chicone
Copyright of article:
Copyright
2002,
American Mathematical Society
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