The high-precision computation of the period of the simple pendulum

被引：0

作者：

Carvalhaes, Claudio G. ^{[1
,2
]}

Suppes, Patrick ^{[1
]}

机构：

[1] Stanford Univ, Ctr Study Language & Informat, Stanford, CA 94305 USA

[2] Univ Estado Rio de Janeiro, Inst Matemat & Estat, BR-20550011 Rio De Janeiro, Brazil

来源：

REVISTA BRASILEIRA DE ENSINO DE FISICA | 2009年 / 31卷 / 02期

关键词：

simple pendulum; elliptic integral; arithmetic-geometric mean; renormalization; APPROXIMATIONS; FORMULAS; PI;

D O I：

暂无

中图分类号：

G40 [教育学];

学科分类号：

040101 ; 120403 ;

摘要：

We present the iterative method of using the arithmetic-geometric mean in the computation of the time period of the simple pendulum and compare it with the power-series method. Analytical approximations are derived by both methods and compared in terms of their numerical precision. The results are strongly favorable to the arithmetic-geometric mean due to its fast convergence.

引用

页数：6

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