An analytical approximation of a pendulum trajectory

E. Salinas-Hernández, G. Ares De Parga, S. Domínguez-Hernández, R. Muñoz-Vega

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Abstract

An analytical approximation of a pendulum trajectory is developed for large initial angles. Instead of using a perturbation method, a succession of just two polynomials is used in order to get simple integrals. By obtaining the approximated period, the result is compared with the Kidd-Frogg and Hite formulas for the period which are very close to the exact solution for the considered angle.
Original languageAmerican English
JournalEuropean Journal of Physics
DOIs
StatePublished - 1 Jan 2014

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