First and second order approximations of the first adiabatic invariant for a charged particle interacting with a linearly polarized hydromagnetic plane wave

dc.contributor.author	Vanclooster, R.
dc.date	1977
dc.date.accessioned	2017-09-05T10:19:17Z
dc.date.available	2017-09-05T10:19:17Z
dc.identifier.uri	https://orfeo.belnet.be/handle/internal/6143
dc.description	In the present paper the effect of a sinusoidal modulation of an electromagnetic field on the invariance of the magnetic moment is studied. Such a generalized invariant plays an important role in problems concerning the motion of charged particles in the non-uniform magnetic field of the magnetosphere or the solar wind. In order to find an adiabatic invariant J, a canonical transformation is introduced, and J is expanded in an asymptotic series in the relative modulation amplitude. We are studying the first and second order terms of this expansion. It is further shown that the curves J = constant closely fit the results obtained by a numerical integration of the system of differential equations governing the motion of the particles.
dc.language	eng
dc.title	First and second order approximations of the first adiabatic invariant for a charged particle interacting with a linearly polarized hydromagnetic plane wave
dc.type	Article
dc.subject.frascati	Physical sciences
dc.audience	Scientific
dc.source.title	Planetary and Space Science
dc.source.volume	25
dc.source.issue	8
dc.source.page	765-771
Orfeo.peerreviewed	Yes
dc.identifier.doi	10.1016/0032-0633(77)90128-3
dc.identifier.scopus	2-s2.0-49449125185