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Non inertial dynamics and holonomy on the ellipsoid

José Antonio Vallejo
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Abstract

Traditionally, the discussion about the geometrical interpretation of inertial forces is reserved for General Relativity handbooks. In these notes an analysis of the effect of such forces in a classical (newtonian) context is made, as well as a study of the relation between the precession of the Foucault pendulum and the holonomy on a surface, including some critical remarks about the common statement \textquotedblleft precession of Foucault pendulum equals holonomy on the sphere\textquotedblright.

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José Antonio Vallejo. 2006-03-22. Non inertial dynamics and holonomy on the ellipsoid. https://arxiv.org/abs/math-ph/0603052

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