Abstract

SALINAS-HERNANDEZ, E.; ARES DE PARGA, G.; DOMINGUEZ-HERNANDEZ, S.  and  MUNOZ-VEGA, R.. Approximate frequencies of the pendulum for large angles. Rev. mex. fís. E [online]. 2017, vol.63, n.1, pp.6-11. ISSN 1870-3542.

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.

Keywords : Pendulum; Polynomial; Frequency.

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