Astronomy and Astrophysics – Astronomy
Scientific paper
Nov 1994
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994p%26ss...42..955s&link_type=abstract
Planetary and Space Science (ISSN 0032-0633), vol. 42, no. 11, p. 955-971
Astronomy and Astrophysics
Astronomy
2
Astronomical Models, Chaos, Convective Flow, Corotation, Jupiter (Planet), Magnetic Flux, Magnetohydrodynamic Flow, Planetary Magnetospheres, Density (Mass/Volume), Differential Equations, Diffusion, Galerkin Method, Ionospheric Conductivity, Numerical Integration, Periodic Variations
Scientific paper
The corotating plasma convection system of the Jovian magnetosphere is analyzed. The macroscopic (mhd) model introduced by Summers and Mu, (1992) that incorporates the effects of microdiffusion is extended by including previously neglected density effects. We reduce the governing partial differential equations to a third-order ordinary differential system by the Galerkin technique of mode truncation. We carry out such a severe truncation partly in the interests of tractability, and leave open the question of the efficacy of adding additional modes. Exhaustive numerical integrations are carried out to calculate the long-term solutions, and we discover that a rich array of plasma motions is possible, dependent on the value of the height-integrated ionospheric Pederson conductivity Sigma. If Sigma is less than a certain critical value Sigmac, then plasma motion can be expected to be chaotic (or periodic), while if Sigma is greater than Sigmac, then steady state convection is expected. In the former case, whether the plasma motion is chaotic or periodic (and, if periodic, the magnitude of the period) can be very sensitive to the value of Sigma. The value of Sigmac, which is a function of a parameter q that occurs in the assumed form of the stationary radial profile (varies as L-q of the plasma mass per unit magnetic flux, lies well within the accepted range of values of Sigma for Jupiter, i.e. Sigma greater than or equal to 0.1 mho and less than or equal to 10 mho.
Mu Jian-Lin
Summers Danny
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