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Adiabatic particle motion in a nearly drift-free magnetic field: application to the geomagnetic tail
| Content Provider | NASA Technical Reports Server (NTRS) |
|---|---|
| Author | Stern, D. P. |
| Copyright Year | 1977 |
| Description | The guiding center motion of particles in a nearly drift free magnetic field is analyzed in order to investigate the dependence of mean drift velocity on equatorial pitch angle, the variation of local drift velocity along the trajectory, and other properties. The mean drift for adiabatic particles is expressed by means of elliptic integrals. Approximations to the twice-averaged Hamiltonian W near z = O are derived, permitting simple representation of drift paths if an electric potential also exists. In addition, the use of W or of expressions for the longitudinal invariant allows the derivation of the twice averaged Liouville equation and of the corresponding Vlasov equation. Bounce times are calculated (using the drift-free approximation), as are instantaneous guiding center drift velocities, which are then used to provide a numerical check on the formulas for the mean drift. |
| File Size | 2413900 |
| Page Count | 43 |
| File Format | |
| Alternate Webpage(s) | http://archive.org/details/NASA_NTRS_Archive_19770017095 |
| Archival Resource Key | ark:/13960/t2t48gr77 |
| Language | English |
| Publisher Date | 1977-04-01 |
| Access Restriction | Open |
| Subject Keyword | Astrophysics Adiabatic Equations Geomagnetic Tail Magnetic Flux Particle Motion Vlasov Equations Elliptic Functions Magnetic Fields Equations of Motion Ntrs Nasa Technical Reports Server (ntrs) Nasa Technical Reports Server Aerodynamics Aircraft Aerospace Engineering Aerospace Aeronautic Space Science |
| Content Type | Text |
| Resource Type | Article |
