Computer Science – Numerical Analysis
Scientific paper
Apr 1995
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1995jgr...100.5627s&link_type=abstract
Journal of Geophysical Research (ISSN 0148-0227), vol. 100, no. A4, p. 5627-5635
Computer Science
Numerical Analysis
7
Charged Particles, Earth Magnetosphere, Hamiltonian Functions, Magnetic Fields, Mathematical Models, Adiabatic Conditions, Functional Analysis, Harmonic Oscillation, Numerical Analysis, Polynomials, Symmetry
Scientific paper
In order to facilitate bounce-averaged guiding center simulations of geomagnetically trapped particles, we express the kinetic energy of a particle with magnetic coordinates (L,phi) as an analytic function of the first two adiabatic invariants (M,J) and the L value of the field line. The magnetic field model is axisymmetric, consisting of a dipolar vector-B field plus a uniform southward magnetic field parallel to the dipole moment mu(sub E). This model magnetosphere is surrounded by a circular equatorial neutral line whose radius b is an adjustable parameter. Our formulation provides a computationally efficient method for tracing the bounce-averaged adiabatic motion (conserving all three invariants) and nonadiabatic transport (violating the third invariant while conserving the first two invariants) of geomagnetically trapped particles in the model magnetosphere.
Chen Margaret W.
Schulz Michael
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