Fast converging exact power series for the time and period of the simple pendulum

A time explicit fast converging exact power series solution to the pendulum equation is derived in this paper. A novel series for the period results from it. The approximate formula that comprises the first three terms gives an accuracy of 99.99% up to the amplitude of 90°. The accuracy was compared...

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Veröffentlicht in:	European journal of physics 2017-03, Vol.38 (2), p.25004
1. Verfasser:	Benacka, Jan
Format:	Artikel
Sprache:	eng
Schlagworte:	period formula power series solution relative error simple pendulum
Online-Zugang:	Volltext
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