%0 Journal Article
%T A Study on the central configuration in the newtonian 4-body problem of celestial mechanics<br>关于4-体问题中心构型的一点研究
%A Tang Jianliang
%A <br>汤建良
%J 系统科学与数学
%D 2006
%I 
%X The central configuration in the N-body problem is one of the most studied problems in the field of celestial mechanics and appled mathematics. There are many results about central configurations. In this paper, by using Wu-Ritt method and subresultant sequences, we study a class of Newtonian planar 4-body problem and give a closed form solution. From the solution, we prove that the configurations for a class of Newtonian planar 4-body problem is finite.
%K Central configuration
%K Wu-Ritt method
%K subresultant sequences<br>中心构型
%K 吴零点分解方法
%K 子结式序列
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=0CD45CC5E994895A7F41A783D4235EC2&aid=0B3D2EC9E99302AD&yid=37904DC365DD7266&vid=96C778EE049EE47D&iid=B31275AF3241DB2D&sid=AEE2F90BC0DB5F35&eid=7C13E30F5EDBE7AB&journal_id=1000-0577&journal_name=系统科学与数学&referenced_num=0&reference_num=9