The nonlinear pendulum: formulas for the large amplitude period

Authors

  • P. Amore
  • M. Cervantes Valdovinos
  • G. Ornelas
  • S. Zamudio Barajas

Keywords:

Perturbation theory, linear delta expansion, pendulum

Abstract

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 Padé 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.

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Published

2007-01-01

How to Cite

[1]
P. Amore, M. Cervantes Valdovinos, G. Ornelas, and S. Zamudio Barajas, “The nonlinear pendulum: formulas for the large amplitude period”, Rev. Mex. Fis. E, vol. 53, no. 1 Jan-Jun, pp. 106–111, Jan. 2007.

Issue

Vol. 53 No. 1 Jan-Jun (2007): Revista Mexicana de Física E

Section

Artículos

License

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