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Meccanica
Published in: Meccanica 4/2024

01-03-2024

Trajectories of two-dimensional harmonic oscillators in a rotating frame: application to Foucault pendulum problem

Author: Eric Guiot

Published in: Meccanica | Issue 4/2024

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Abstract

The motion of a classical point particle submitted to a central restoring force in a rotating frame is studied. Trajectories taking account all fictitious forces are presented. The obtained solutions are applied to the problems of pendulums oscillating on the surface of the Earth, in particular regarding the Foucault pendulum. This makes it possible to obtain precise solutions and to characterize the trajectories as centered trochoid curves.
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Metadata
Title
Trajectories of two-dimensional harmonic oscillators in a rotating frame: application to Foucault pendulum problem
Author
Eric Guiot
Publication date
01-03-2024
Publisher
Springer Netherlands
Published in
Meccanica / Issue 4/2024
Print ISSN: 0025-6455
Electronic ISSN: 1572-9648
DOI
https://doi.org/10.1007/s11012-024-01759-5

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