Centred approach to the period of anharmonic oscillators

Jonathan Landy*, Re'Em Sari

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

5 Scopus citations


We present a simple method for obtaining a concise series expression for the period of one-dimensional classical oscillators. The series converges well for typical potentials and is of a form that is often suitable for obtaining approximate expressions for the period valid to any order in the amplitude desired. The method is most easily applied to even potentials. However, by employing the lower turning point expansion discussed in the appendices it may readily be applied even to those potentials where the lower turning point may not be solved for explicitly in terms of the upper turning point. We demonstrate the method by obtaining expressions for the periods of both the simple pendulum and tadpole orbits.

Original languageAmerican English
Pages (from-to)1051-1061
Number of pages11
JournalEuropean Journal of Physics
Issue number6
StatePublished - 1 Nov 2007
Externally publishedYes


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