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 pet...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.展开更多
基金supported by National Natural Science Foundation of China,a grant for Ph.D. of Chinese Educational Committeethe Scientific Research Foundation of Huaiyin Institute of Technology (Grant Nos. HGB0913, HGC0928)
文摘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.
