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Exact Analytical Solution to Equations of Perihelion Advance in General Relativity
Authors:Feng He and Fan Zhao
Institution:(1) Physics College, Hunan University of Science and Technology, Xiangtan, 411201, Hunan Province, People’s Republic of China
Abstract:Previously the perihelion advance in binary system was computed approximately. We will present an exact analytical solution to nonlinear differential equation of perihelion advance by method of Jacobian elliptic function and the advanced angle between successive perihelions. Project supported by the Scientific Research Foundation for the Returned Overseas Chinese Scholars from Ministry of Education, China (Grant No. 2004]527) and the Natural Science Foundation of Hunan Province, China (Grant No. 06JJ2026)
Keywords:Perihelion advance  Jacobian elliptic function  Exact solution
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