Precession on a rotating saddle: a gyro force in an inertial frame

Kirillov, Oleg and Levi, Mark (2016) Precession on a rotating saddle: a gyro force in an inertial frame. In: 24th International Congress of Theoretical and Applied Mechanics (ICTAM2016), 21st-26th August 2016, Montreal, Canada.

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Abstract

Particles in rotating saddle potentials exhibit precessional motion which, up to now, has been explained by explicit computation. We show that this precession is due to a hidden gyroscopic force which, unlike the standard Coriolis force, is present in the inertial frame. We do so by finding a hodograph-like “guiding center” transformation using the method of normal form, which yields a simplified equation for the guiding
center of the trajectory that coincides with the equation of the Foucault’s pendulum. In this sense, a particle trapped in the symmetric rotating saddle trap is, effectively, a Foucault’s pendulum, but in the inertial frame.

Item Type: Conference or Workshop Item (Paper)
Subjects: F300 Physics
G100 Mathematics
Department: Faculties > Engineering and Environment > Mathematics and Information Sciences
Depositing User: Oleg Kirillov
Date Deposited: 10 May 2017 08:50
Last Modified: 10 May 2017 09:48
URI: http://nrl.northumbria.ac.uk/id/eprint/30727

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