Figure "8" Type Solutions for Planar Circular Restricted 3-body Problems

Figure "8" Type Solutions for Planar Circular Restricted 3-body Problems

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摘要 We study planar restricted 3-body problems. Suppose point masses m1 and m2 move around their center of mass in circular orbits. Choose units of length, time and mass so that the angular velocity of rotation, the sum of masses of m1 and m2, and the gravitational constant

作者张世清

机构地区 Department of Mathematics

出处《数学进展》 CSCD 北大核心 2004年第2期253-255,共3页 Advances in Mathematics（China）

基金 Supported by NSFC(No. 10231010) Trans-Century Training Programme Foundation

关键词平面环三体问题周期解偏微分方程

分类号 O175.2 [理学—基础数学]

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相关文献

参考文献9

1张世清,周青.Variational methods for the choreography solution to the three-body problem[J].Science China Mathematics,2002,45(5):594-597. 被引量：7
2Shiqing Zhang,Qing Zhou.Variational methods for the choreography solution to the three- body problem[J].Science in China Series A: Mathematics.2002(5)
3C. Marchal.How the Method of Minimization of Action Avoids Singularities[J].Celestial Mechanics and Dynamical Astronomy (-).2002(1-4)
4Richard S. Palais.The principle of symmetric criticality[J].Communications in Mathematical Physics.1979(1)
5Palais R S.The principle of symmetric criticality[].Communications in Mathematical Physics.1979
6Gordon W.A minimizing property of Keplerian orbits[].American Journal of Mathematics.1977
7Marchal C.How the method of minimization of action avoids singularities[].Celestial Mechanics.2002
8Chenciner A,Montgomery R.A remarkable periodic solution of the three body problem in the case of equal masses[].Annals of Mathematics.2000
9Arnold V. I.Dynamical Systems Ⅲ[]..1988

二级参考文献2

1Richard S. Palais.The principle of symmetric criticality[J].Communications in Mathematical Physics.1979(1)
2Gordon,W.A minimizing property of Keplerian orbits, Amer[].Journal of Mathematics.1977

共引文献6

1DENG ChunHua 1,2 , ZHANG ShiQing 1, & ZHOU Qing 3 1 Yangtze Center of Mathematics and College of Mathematics, Sichuan University, Chengdu 610064, China,2 Faculty of Mathematics and Physics, Huaiyin Institute of Technology, Huai’an 223001, China,3 Department of Mathematics, East China Normal University, Shanghai 200062, China.Rose solutions with three petals for planar 4-body problems[J].Science China Mathematics,2010,53(12):3085-3094.
2徐乐顺,冀书关.Numerical Computation of Figure-eight Solution for 3-body Problems[J].Northeastern Mathematical Journal,2007,23(3):226-230.
3李志刚,程迪祥.平面圆周限制性五体问题的变分最小解[J].四川大学学报（自然科学版）,2009,46(5):1282-1284.
4Xu LE-SHUN,HAN YUE-CAI,LIU BAI-FENG.Difference Equation for N-body Type Problem[J].Communications in Mathematical Research,2009,25(5):411-417.
5李凤英,张雪峰,程迪祥.空间4-体问题舞蹈周期解的新证明[J].数学学报（中文版）,2010,53(6):1075-1080.
6Fengying LI,Shiqing ZHANG.Periodic Solutions for N-Body-Type Problems[J].Chinese Annals of Mathematics,Series B,2020,41(5):733-740.

1刘金禄,孙弘安.平面环型域T上的关联函数[J].南方冶金学院学报,1995,16(4):72-76.
2A.Ebaid,B.Masaedeh,E.E1-Zahar.A New Fractional Model for the Falling Body Problem[J].Chinese Physics Letters,2017,34(2):1-3.
3Yiming Long Nankai Institute of Mathematics. Nankai University. Tianjin 300071. P. R. China Shiqing Zhang Department of Applied Mathematics Chongqing University. Chongqing 40004, P.R. China.Geometric Characterizations for Variational Minimization Solutions of the 3-Body Problem[J].Acta Mathematica Sinica,English Series,2000,16(4):579-592. 被引量：3
4徐乐顺,冀书关.Numerical Computation of Figure-eight Solution for 3-body Problems[J].Northeastern Mathematical Journal,2007,23(3):226-230.
5张世清.New Solutions for Some Planar N-body Problems[J].数学进展,2004,33(4):508-511. 被引量：1
6OU YuWei.Hyperbolicity of elliptic Lagrangian orbits in the planar three body problem[J].Science China Mathematics,2014,57(7):1539-1544.
7赵丽琴.平面上含鞍结点与中心型鞍点的余维3环的三参数开折[J].系统科学与数学,1999,19(2):142-149.
8Wentian KUANG,Yiming LONG.Geometric characterizations for variational minimizing solutions of charged 3-body problems[J].Frontiers of Mathematics in China,2016,11(2):309-321.
9张世清,周青.New Periodic Solutions for 3-body Problems[J].数学进展,2003,32(3):379-380.
10QIANShang-Wu.A Possible Interpretation on Distance-Dependent Effect of Gravitational Constant in Newton＇s Theory of Gravitation[J].Communications in Theoretical Physics,2005,43(6):1045-1046.

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Figure "8" Type Solutions for Planar Circular Restricted 3-body Problems

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