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 |