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.
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页数：6
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