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1. New Periodic Solutions for Planar 5–Body and 7-Body Problems | |||
Su Xia,Zhang Shiqing | |||
Astronomy 11 March 2009 | |||
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Abstract:For planar Newtonian N + 2-body (N=3,5)problems with some mass ratios, we prove the existence of new non-collision periodic solutions such that N bodies with equal masses move on one loop and the other 2 bodies with equal masses move on the other one or two closed curves and have some given winding numbers and symmetries. | |||
TO cite this article:Su Xia,Zhang Shiqing. New Periodic Solutions for Planar 5–Body and 7-Body Problems[OL].[11 March 2009] http://en.paper.edu.cn/en_releasepaper/content/30164 |
2. Variational Minimizing Solutions for Planar Circular Restricted 3-Body Problems | |||
Zhang Shiqing | |||
Astronomy 03 March 2009 | |||
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Abstract:We use some inequalities to study planar Newtonian circular restricted 3- body problems with two equal primaries, we prove that the minimizer of the Lagrangian action on “8” type symmetric loop spaces of the rotational coordinate systems is just at the center of masses, which implies that we must add topological conditions in order to get the true “8”–type solutions. | |||
TO cite this article:Zhang Shiqing. Variational Minimizing Solutions for Planar Circular Restricted 3-Body Problems[OL].[ 3 March 2009] http://en.paper.edu.cn/en_releasepaper/content/29855 |
3. Periodic Solutions for Some Second Order Hamiltonian Systems | |||
Zhang Shiqing | |||
Astronomy 27 February 2009 | |||
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Abstract:We use saddle point theorems of Benci-Rabinowitz and Silva to study the existence of periodic solutions with a fixed energy for a few second order Hamiltonian conservative systems without any symmetry,the key difficulty of the proof is proving Palais-Smale condition and the nonconstant property for the minimax critical point. | |||
TO cite this article:Zhang Shiqing. Periodic Solutions for Some Second Order Hamiltonian Systems [OL].[27 February 2009] http://en.paper.edu.cn/en_releasepaper/content/29753 |
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