典型文献
ON ACTION-MINIMIZING SOLUTIONS OF THE TWO-CENTER PROBLEM
文献摘要：
The two-center problem,also known as Euler's three-body problem,is a classic example of integrable systems.Among its periodic solutions,planetary type solutions are periodic solutions which enclose both centers.Inspired by advances on n-body and n-center problems via variational techniques developed during the past two decades,a recent paper(Arch.Rat.Mech.Ana.2022)shows the minimizing property of planetary type solutions for any given masses of centers at fixed positions,as long as the period is above a mass-dependent threshold value.In this paper,we provide further discussions regarding this minimizing approach.In particular,we improve the above-mentioned mass-dependent threshold value by refining estimates for action values.
文献关键词：
中图分类号：
作者姓名：
Kuo-Chang CHEN
作者机构：
Department of Mathematics,National Tsing Hua University,Hsinchu,Taiwan,China
文献出处：
引用格式：
[1]Kuo-Chang CHEN-.ON ACTION-MINIMIZING SOLUTIONS OF THE TWO-CENTER PROBLEM)[J].数学物理学报（英文版）,2022(06):2450-2458
A类：
MINIMIZING,CENTER,PROBLEM,enclose
B类：
ACTION,SOLUTIONS,OF,THE,TWO,two,also,known,Euler,three,body,classic,example,integrable,systems,Among,its,periodic,solutions,planetary,type,are,which,both,centers,Inspired,by,advances,problems,via,variational,techniques,developed,during,past,decades,recent,paper,Arch,Rat,Mech,Ana,shows,minimizing,property,any,given,masses,fixed,positions,long,above,dependent,threshold,this,we,provide,further,discussions,regarding,approach,particular,improve,mentioned,refining,estimates,action,values
AB值：
0.620771
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