Approximate frequencies of the pendulum for large angles

Autor:	E. Salinas-Hernández, G. Ares de Parga, S. Domínguez-Hernández, R. Muñoz-Vega
Jazyk:	angličtina
Rok vydání:	2017
Předmět:	Pendulum Física Astronomía y Matemáticas Frequency Polynomial
Zdroj:	Instituto Politécnico Nacional IPN Redalyc-IPN Revista Mexicana de Física (México) Num.1 Vol.63
Popis:	"By approximating the cosine function to a polynomial, analytical approximations of pendulum trajectories are developed for initial angles close to π . The periods are deduced and they are compared with other techniques recently developed for the same purpose. Our results practically match with the exact solutions. A process that allows to understand the difficulties of dealing with nonlinear equations, of using the minimization of the standard deviation and the importance played by energy conservation is done."
Databáze:	OpenAIRE
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