THREE-BODY

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The optimal upper bound of the number of generalized Euler configurations
《Science China Mathematics》2010年第2期401-412,共12页LI ZhengDong 1,2,& FU YanNing 11 Purple Mountain Observatory, Chinese Academy of Sciences, Nanjing 210008, China 2 Graduate University of Chinese Academy of Sciences, Beijing 100039, China 
supported by National Natural Science Foundation of China (Grant Nos.10473025, 10833001)
Consider a generalized 3-body problem. The attraction force between any two bodies is proportional to the two "masses" and the b-th power of the mutual distance. Albouy and Fu have obtained the optimal upper bound of ...
关键词：THREE-BODY problem central CONFIGURATION generalized EULER CONFIGURATION quasi-polynomial equation 
Variational methods for the choreography solution to the three-body problem被引量：7
《Science China Mathematics》2002年第5期594-597,共4页张世清 周青 
This work was partly supported by the National Natural Science Foundation of China (Grant No. 19871096); the Qiu Shi Science and Technology Foundation.
In this paper, we give a short proof for the existence of nontrivial choreography solution to the equal-mass three-body problem, which is discovered by Chenciner and Montgomery recently.
关键词：THREE-BODY problem  CHOREOGRAPHY solution  VARIATIONAL method. 
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