{"title":"An Even Simpler “Truly Elementary” Proof of Bertrand’s Theorem","authors":"J. Galbraith, Jacob Williams","doi":"10.1063/1.5129245","DOIUrl":null,"url":null,"abstract":"We present a further simplified derivation of a “truly elementary” proof of Bertrand’s theorem, which predicts the exponents in central power-law potentials that produce closed orbits.We present a further simplified derivation of a “truly elementary” proof of Bertrand’s theorem, which predicts the exponents in central power-law potentials that produce closed orbits.","PeriodicalId":93662,"journal":{"name":"Journal of undergraduate reports in physics","volume":" ","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2019-10-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1063/1.5129245","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of undergraduate reports in physics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1063/1.5129245","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
Abstract
We present a further simplified derivation of a “truly elementary” proof of Bertrand’s theorem, which predicts the exponents in central power-law potentials that produce closed orbits.We present a further simplified derivation of a “truly elementary” proof of Bertrand’s theorem, which predicts the exponents in central power-law potentials that produce closed orbits.
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