Fast converging exact power series for the time and period of the simple pendulum

DOI10.1088/1361-6404/AA543FzbMath1390.70036OpenAlexW2577967793MaRDI QIDQ5270236

Jan Benacka

Publication date: 23 June 2017

Published in: European Journal of Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/1361-6404/aa543f

zbMATH Keywords

relative errorpower series solutionsimple pendulumperiod formula

Mathematics Subject Classification ID

Holonomic systems related to the dynamics of a system of particles (70F20)

Related Items (5)

Exploring oscillations with a nonlinear restoring force ⋮ Improving series convergence: the simple pendulum and beyond ⋮ Approximate period for large-amplitude oscillations of a simple pendulum based on quintication of the restoring force ⋮ Review of approximate equations for the pendulum period ⋮ Exploring the non-linear oscillation of a rigid sphere on an elastic half-space

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