Precession of the elastic pendulum on the rotating Earth
Borut Jur\v{c}i\v{c} Zlobec
TL;DR
This paper provides a numerical analysis of an elastic pendulum's precession on a rotating Earth, considering various string stiffnesses and geographic latitudes to understand its complex motion.
Contribution
It introduces a numerical approach to solve the nonlinear differential equations governing an elastic pendulum on a rotating Earth, accounting for elasticity and latitude effects.
Findings
Precession behavior varies with string stiffness and latitude.
Elasticity significantly influences pendulum dynamics.
Numerical solutions reveal complex precession patterns.
Abstract
We present a numerical solution of the nonlinear differential equation for a pendulum with an elastic string on the rotating Earth, for different values of string stiffness at different geographic latitudes.
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Taxonomy
TopicsGeophysics and Gravity Measurements · Geomagnetism and Paleomagnetism Studies