Resumo

AMORE, P.; CERVANTES VALDOVINOS, M.; ORNELAS, G.  e  ZAMUDIO BARAJAS, S.. The nonlinear pendulum: formulas for the large amplitude period. Rev. mex. fís. E [online]. 2007, vol.53, n.1, pp.106-111. ISSN 1870-3542.

A simple and precise formula for the period of a nonlinear pendulum is obtained using the Linear Delta Expansion, a powerful non-perturbative technique which has been applied in the past to problems in different areas of physics. Our result is based on a systematic approach which allows us to obtain a new series for the elliptic integrals, in terms of which the exact solution of our problem is cast. A further improvement of the LDE result is then obtained by using Pade approximants. Finally we make a comparison with other approximations in the literature for the period of the pendulum, valid either at small or at large angles.

Palavras-chave : Perturbation theory; linear delta expansion; pendulum.

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