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N体问题的正多面体解 被引量：3

THE REGULAR POLYHEDRON SOLUTIONS OF N-BODY PROBLEM
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摘要 分析N体问题一些特解的共性,给出5个正多面体解. Five regular polyhedron solutions are given by analysing commonness of other special solutions of N-body problem.
作者 刘文中 孙艳春 尹志强 刘梦
机构地区 北京师范大学天文学系 中国科学院国家天文台 北京师范大学第二附属中学
出处 《北京师范大学学报（自然科学版）》 CAS CSCD 北大核心 2006年第3期265-267,共3页 Journal of Beijing Normal University(Natural Science)
基金 国家自然科学基金资助项目(10473002 10373004)
关键词 N体问题 对称性 正多面体解 N-body problem symmetry regular polyhedron solution
分类号 P132 [天文地球—天体力学]
  • 相关文献

参考文献11

  • 1Xie Zhifu,Zhang Shiqing.A simpler proof of regular polygon solutions of the N-body problem[J].Physics Letters,2000,A 277:156
  • 2Zhang Shiqing,Zhou Qing.Periodic solutions for planar 2N-body problems[J].Proc Amer Math Soc,2003,131:2161
  • 3Chenciner A,Montgomery R.A remarkable periodic solution of the three-body problem in the case of equal masses[J].Annals of Math,2000,52:881
  • 4刘文中,张同杰.N体问题共线解的简明数值方法[J].北京师范大学学报（自然科学版）,2005,41(1):54-57. 被引量：2
  • 5Sim(o) C.New families of solutions in N-body problem[C]//Proceedings of European Congress of Mathematicians.Boston:Birkhauser,2000:101
  • 6Masayoshi S,Kiyotaka T.On the symmetric collinear four-body problem[J].Publications of the Astronomical Society of Japan,2004,56(1):235
  • 7Sweatman W L.The symmetrical one-dimensional Newtonian four-body problem:a numerical investigation[J].Celestial Mechanics and Dynamical Astronomy,2002,82(2):179
  • 8Perko L M,Walter E L.Regular polygon solutions of the N-body problem[J].Proc AMS,1985,94:301
  • 9Zhang Shiqing,Zhou Qing.Nested regular polygon solutions for planar 2N-body problems[J].Science in China Series A,2002,45(8):1053
  • 10Zhang Shiqing,Zhou Qing.Double pyramidal central configurations[J].Physics Letters,2001,A281:240

二级参考文献9

  • 1Corbera M, Llibre J. Periodic orbits of a collinear restricted three-body problem [J ]. Celestial Mechanics and Dynamical Astronomy, 2003,86(2): 163.
  • 2Chenciner A, Montgomery R. A remarkable periodic solution of the three-body problem in the case of equal masses[J]. Annals of Math, 2000, 52:881.
  • 3Simo C. New families of solutions in N-body problem[C]//Proceedings of European Congress of Mathematicians,Birkhauser, Boston: 2000.
  • 4Masayoshi S, Kiyotaka T. On the symmetric collinear four-body problem[J]. Publications of the Astronomical Society of Japan, 2004, 56(1) :235.
  • 5Sweatman W L. The symmetrical one-dimensional Newtonian four-body problem: a numerical investigation [J]. Celestial Mechanics and Dynamical Astronomy,2002, 82(2) :179.
  • 6Ferrario D. Central configurations, symmetries and fixedpoints, [EB. OL]. [2004-09] http://xxx. lanl. gov/PScache/math/pdf/0204/0204198. pdf.
  • 7Andrij VUS. Integlable polynomail pstentials in N-body problems on the line [C]//Proceedings of Institute of Mathematicsof NAS of Ukraine, 2002, 43(2):765.
  • 8Bruschi M, Calogero F. Solvable and/or integrable and/or linearizable N-body problems in ordinary (three dimensional) space I [J]. Journal of Nonlinear Mathematical Physics, 2000, 7 (3): 303.
  • 9Buck G. Most smooth closed space curves contain approximate solutions of the N-body problem[J].Nature, 1998, 395:51.

共引文献1

同被引文献61

引证文献3

二级引证文献11

北京师范大学学报（自然科学版）
2006年 第3期

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