An analytical approximation of a pendulum trajectory

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

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

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 languageEnglish
Article number045027
JournalEuropean Journal of Physics
Volume35
Issue number4
DOIs
StatePublished - 2014

Keywords

  • Approximation Solutions
  • Classical Mechanics
  • Pendulum
  • Period
  • Polynomial

Fingerprint

Dive into the research topics of 'An analytical approximation of a pendulum trajectory'. Together they form a unique fingerprint.

Cite this