Approximate expressions for the period of a simple pendulum using a Taylor series expansion

DOI10.1088/0143-0807/32/5/018zbMath1315.70007OpenAlexW2007299346MaRDI QIDQ4915002

A. Márquez, Sergi Gallego, Manuel Ortuño, Augusto Beléndez, Enrique Arribas

Publication date: 16 April 2013

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

Full work available at URL: http://hdl.handle.net/10045/18395

Mathematics Subject Classification ID

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

Related Items (9)

Resonance oscillation of a damped driven simple pendulum ⋮ Improving series convergence: the simple pendulum and beyond ⋮ Approximate solutions for the nonlinear pendulum equation using a rational harmonic representation ⋮ The local period function for Hamiltonian systems with applications ⋮ Review of approximate equations for the pendulum period ⋮ Observations of a driven pendulum at low amplitudes ⋮ An analysis of pendulum motion in the presence of quadratic and linear drag ⋮ Analytical approximate solutions for the cubic-quintic Duffing oscillator in terms of elementary functions ⋮ Expanding the simple pendulum's rotation solution in action-angle variables

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