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Elementary derivation of Kepler’s laws

 

作者: Erich Vogt,  

 

期刊: American Journal of Physics  （AIP Available online 1996）
卷期: Volume 64, issue 4  

页码: 392-396

 

ISSN:0002-9505

 

年代: 1996

 

DOI:10.1119/1.18253

 

出版商: American Association of Physics Teachers

 

关键词: ANGULAR MOMENTUM;CONSERVATION LAWS;EDUCATIONAL TOOLS;ENERGY;GRAVITATION;ORBITS;RUTHERFORD SCATTERING;TWO−BODY PROBLEM;03.20;04.

 

数据来源: AIP

 

摘要:

A simple derivation of all three so‐called Kepler laws is presented in which the orbits, bound and unbound, follow directly and immediately from conservation of energy and angular momentum. The intent is to make this crowning achievement of Newtonian mechanics easily accessible to students in introductory physics courses. The method is also extended to simplify the derivation of the Rutherford scattering law.

 

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