A Coriolis force in an inertial frame

Kirillov, Oleg and Levi, Mark (2017) A Coriolis force in an inertial frame. Nonlinearity, 30 (3). pp. 1109-1119. ISSN 0951-7715

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Official URL: https://doi.org/10.1088/1361-6544/aa59a0

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 Coriolis-like 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. We also point out that the transformation cannot be of contact type in principle, thus showing that the standard (in applied literature) heuristic averaging gives the correct result but obscures the fact that the transformation of the position must involve the velocity.

Item Type: Article
Subjects: F300 Physics
G100 Mathematics
Department: Faculties > Engineering and Environment > Mathematics and Information Sciences
Depositing User: Oleg Kirillov
Date Deposited: 13 Jan 2017 11:08
Last Modified: 09 May 2017 12:43
URI: http://nrl.northumbria.ac.uk/id/eprint/29124

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