| GENERALIZED HOMOGENEOUS FUNCTIONS AND THE TWO-BODY PROBLEM |
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| 作者姓名： | C.Biasi S.M.S.Godoy |
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| 作者单位： | DepartamentodeMatemfitica,InstitutodeCi~nciasMatem~iticasedeComputa~o,UniversidadedeS~oPaulo-CampusdeS~oCarlos,CaixaPostal-668,13560-970SaoCarlos-SP,Brazil |
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| 摘 要： | IntroductionInthispaper,wegeneralizetheclassicconceptofhomogeneousfunctionofdegreeαandwestudytherelationbetweenthehomogeneousfunctionconceptandthemovementofabodythatsatisfiestheKepler’ssecondlaw .Asanapplicationoftheinvolvedtechniquesthatwereused ,wepresentasolutionofthetwo_bodyproblem ,givingawaytoobtainatimeequationforthebodythatrotatesaroundtheother,usingtheconceptofhomogeneousfunction .WeobtainedaserieslikeasthatwaspresentedinRef.1 ] .1 GeneralizedHomogeneousFunctionsLetUbeanopensub…
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| 关 键 词： | 广义同源函数 开普勒第二定律 二体问题 偏微分方程 初始条件 |
| 收稿时间： | 30 November 2003 |
Generalized homogeneous functions and the two-body problem |
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| C.Biasi S.M.S.Godoy.GENERALIZED HOMOGENEOUS FUNCTIONS AND THE TWO-BODY PROBLEM[J].Applied Mathematics and Mechanics(English Edition),2005,26(2):171-178. |
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| Authors: | C Biasi S M S Godoy |
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| Institution: | Departamento de Matem(a)tica, Instituto de Ci(e)ncias Matem(a)ticas e de Computa(c)(a)o, Universidade de S(a)o Paulo-Campus de S(a)o Carlos, Caixa Postal-668, 13560-970 S(a)o Carlos-SP, Brazil |
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| Abstract: | A generalization of the homogeneous function concept is studied.An application is done with a solution of the two-body problem. |
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| Keywords: | homogeneous function generalized homogeneous function Kepler's second law two-body problem |
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