# American Institute of Mathematical Sciences

January  2010, 9(1): 249-260. doi: 10.3934/cpaa.2010.9.249

## New periodic solutions for the circular restricted 3-body and 4-body problems

 1 College of Chengxian, Dongnan University, Nanjing 210088, China 2 College of Mathematics, Sichuan University, Chengdu 610064, China

Received  July 2008 Revised  June 2009 Published  October 2009

For the circular restricted 3-body and 4-Body problems in $\mathbb{R}^2$, we prove the existence of new symmetric noncollision periodic solutions with some fixed winding numbers and masses.
Citation: Qunyao Yin, Shiqing Zhang. New periodic solutions for the circular restricted 3-body and 4-body problems. Communications on Pure & Applied Analysis, 2010, 9 (1) : 249-260. doi: 10.3934/cpaa.2010.9.249
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