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.
|Number of pages||405|
|Publication status||Published - 1 Aug 2016|
|Event||24th International Congress of Theoretical and Applied Mechanics (ICTAM2016) - Montreal, Canada|
Duration: 1 Aug 2016 → …
|Conference||24th International Congress of Theoretical and Applied Mechanics (ICTAM2016)|
|Period||1/08/16 → …|