A Coriolis force in an inertial frame

Oleg Kirillov, Mark Levi

Research output: Contribution to journalArticle

2 Citations (Scopus)

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 obscures the fact that the transformation of the position must involve the velocity.

Original languageEnglish (US)
Pages (from-to)1109-1119
Number of pages11
JournalNonlinearity
Volume30
Issue number3
DOIs
StatePublished - Feb 3 2017

Fingerprint

Coriolis force
Coriolis Force
hodographs
saddles
Saddle
precession
Normal Form
Averaging
Rotating
Heuristics
Contact
Motion
Standards

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Physics and Astronomy(all)
  • Applied Mathematics

Cite this

Kirillov, Oleg ; Levi, Mark. / A Coriolis force in an inertial frame. In: Nonlinearity. 2017 ; Vol. 30, No. 3. pp. 1109-1119.
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A Coriolis force in an inertial frame. / Kirillov, Oleg; Levi, Mark.

In: Nonlinearity, Vol. 30, No. 3, 03.02.2017, p. 1109-1119.

Research output: Contribution to journalArticle

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