Bertrand定理的一个更简单的“真初等”证明

Journal of undergraduate reports in physics Pub Date : 2019-10-02 DOI:10.1063/1.5129245

J. Galbraith, Jacob Williams

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引用次数: 1

摘要

我们提出了Bertrand定理的“真正初等”证明的进一步简化推导，该证明预测了产生闭合轨道的中心幂律势中的指数。我们提出了Bertrand定理的“真正初等”证明的进一步简化推导，该证明预测了产生闭合轨道的中心幂律势中的指数。

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An Even Simpler “Truly Elementary” Proof of Bertrand’s Theorem

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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Journal of undergraduate reports in physics

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