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The Rutherford cross section and the perihelion shift of Mercury with the Runge–Lenz vector

 

作者: Carlos Farina,   Marcos Machado,  

 

期刊: American Journal of Physics  （AIP Available online 1987）
卷期: Volume 55, issue 10  

页码: 921-923

 

ISSN:0002-9505

 

年代: 1987

 

DOI:10.1119/1.14955

 

出版商: American Association of Physics Teachers

 

关键词: MERCURY PLANET;VECTORS;RUTHERFORD SCATTERING;CROSS SECTIONS;ORBITS;RELATIVISTIC CORRECTIONS;CLASSICAL MECHANICS

 

数据来源: AIP

 

摘要:

It is shown how the Runge–Lenz vectorAcan be used to give the orbit equation and the Rutherford cross section without the necessity of solving differential equations. After that, the Greenberg’s method is applied to obtain the perihelion shift of Mercury using the vectorA. Some suggestions are given in the conclusions.

 

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