Fifth-order AGM-formula for the period of a large-angle pendulum

In this paper, an approximate algebraic formula for calculating the period of a large-angle pendulum was developed based on fifth-order iteration of the arithmetic-geometric mean (AGM) formula for the complete elliptic integral of the first kind. The present formula is capable of estimating the peri...

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Bibliographic Details

Published in:	Revista Brasileira de Ensino de Física
Main Author:	Akuro Big-Alabo
Format:	Article
Language:	Portuguese
Published:	Sociedade Brasileira de Física 2023-07-01
Subjects:	large-angle pendulum arithmetic-geometric mean elliptic integral nonlinear oscillations
Online Access:	http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1806-11172023000100605&tlng=en