THE PHYSICAL SIGNIFICANCE AND APPLICATION OF L, B$sub 0$ AND R$sub 0$ TO GEOMAGNETICALLY TRAPPED PARTICLES
Journal Article
·
· Journal of Geophysical Research (U.S.)
In a dipole field, many different invariant shells (I,B/sub m/) share exactly the same lines of force. These invariant shells are therefore members of a degenerate system. In the geomagnetic field, which is assumed static and without electric field, these degenerate systems are split by azimuthal asymmetry. A distinction is made, therefore, between the use of parameters as invariants of charged particie motion and their use as constants for all particles on a line of force. It is found that McIlwain's L value associates nondegenerate geomagnetic shells with dipole degenerate systems if L at a point in space is redefined to apply only to particles mirroring at that point. Emphasis is placed on the redefined L as an invariant parameter of particle motion and on the near equality of the L value of a particle and the equatorial radius R/sub o/ of the line of force on which the particle is mirroring. Although the original definition of L resulted in a very useful parameter, the present definition allows a physical interpretation of L as originally applied and extends its usefulness beyond that allowed by the original definition. With the present definition, the different values of L along a line of force can be identified with the radial separation of particles mirroring on that line as they drift in longitude. This separation is approximates 2 per cent of the shell radius and represents the accuracy with which a single magnetic field parameter, such as the minimum field intensity B/ sub O/ of a line, describes all particles on the line. Beyond 3 earth radii, it is found that R/sub O/ gives a representation of comparable accuracy. However, an invariant representation (L,B/sub m/) or (I,B/sub m/) is limited only by the accuracy of the determination of the mirror field B and the longitudinal invariant I, both of which depend on the accuracy of the magnetic field representation. (auth)
- Research Organization:
- Univ. of Chicago
- Sponsoring Organization:
- USDOE
- NSA Number:
- NSA-17-031263
- OSTI ID:
- 4687845
- Journal Information:
- Journal of Geophysical Research (U.S.), Journal Name: Journal of Geophysical Research (U.S.) Vol. Vol: 68; ISSN JGREA
- Country of Publication:
- Country unknown/Code not available
- Language:
- English
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