2.5D MPD Multiple Dipole simulations

Initial 2D MHD simulations indicated that mini-magnetospheres can form around magnetic anomalies on the surface of the Moon, but required magnetic field strengths at 100 km above the surface an order of magnitude larger than in situ measurements. Modeling the lunar magnetic anomalies with multiple dipoles in 2.5D MHD simulations inflates the size of the mini-magnetospheres for only small increases in the magnitude of the total magnetic field. Multiple dipoles increase the lateral distance over which solar wind plasma is held off the surface. This extended magnetic field geometry inflates the mini-magnetosphere by inhibiting fluid flow within the shock region. With multiple dipoles, a mini-magnetosphere will form with magnetic field magnitudes smaller than the lower limit for a single dipole. These results indicate that the higher order moments of the anomalous magnetic fields play a significant role in deflecting the solar wind and determining the size and shape of the mini-magnetosphere.
Density plots and magnetic field lines for four different cases with two dipoles. The dipole moments are in the +z direction producing a large magnetic field at 100 km in (a) then both dipoles are flipped to the -z direction with the same magnitude in (b). In (c) the dipole moments are opposing directions, and then each dipole moment is flipped 180 degrees in (d). The moon has a constant density of 4.0 \(\rm{cm}^{-3}\) and the solar wind a density of 10.0 cm^-3. The boxes contain an area 870 km by 1218 km, with each tick mark equal to 5 grid points or 43.5 km. The density contours were smoothed slightly to reduce minor pixilation. The maximum value in the density corresponds to white on the color bar. (From Harnett and Winglee, JGR, vol. 108, 2003).

The inner dipole moments in (a) are in the +z direction while the outer dipoles in the -z direction. Each dipole in (b) is180 degrees rotated from its neighboring dipoles. The middle dipoles in (c) are in the +x direction while the outer dipole moments are in the -x direction. The dipoles in (d) are radial, alternating between +r and -r. The sharp kinks in the magnetic field lines in (d) are due to numerical uncertainties in calculating the magnetic field lines for dipoles not aligned with one of the axes. (From Harnett and Winglee, JGR, vol. 108, 2003).


eharnett at ess.washington.edu
Last modified: Tue Jun 22 14:28:07 PDT 2004