Rose solutions with three petals for planar 4-body problems

• 出 处: 中国科学：数学英文版
• 发表日期: 2010年12期
• 关键词: 4-body problems with NEWTONIAN potentials ROSE SOLUTIONS with THREE PETALS WINDI
• 基金项目: supported by National Natural Science Foundation of China,a grant for Ph.D. of Chinese Educational Committee,the Scientific Research Foundation of Huaiyin Institute of Technology (Grant Nos. HGB0913,

For planar Newtonian 4-body problems with equal masses, we use variational methods to prove the existence of a non-collision periodic choreography solution such that all bodies move on a rose-type curve with three petals.