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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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 |
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| Subjects: | F300 Physics G100 Mathematics |
| Department: | Faculties > Engineering and Environment > Mathematics, Physics and Electrical Engineering |
| Depositing User: | Oleg Kirillov |
| Date Deposited: | 13 Jan 2017 11:08 |
| Last Modified: | 01 Aug 2021 08:21 |
| URI: | http://nrl.northumbria.ac.uk/id/eprint/29124 |
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