Processed Data and Inversion Results for Constraining the Io Plasma Torus

The processed and used data for constraining the plasma torus. FieldLines.txt are the mapped positions along the magnetic field lines calculated with the JRM33 model. The lines start at Io's orbit at 5.9 Jupiter Radii and are mapped towards the flattened Jupiter surface. The longitudinal resolution is 0.5°, resulting in 1440 total field lines, 720 for each the northern and the southern hemisphere. Therefore, the file contains of 1440 blocks, each introduced with the starting Easter System III longitude and the corresponding hemisphere. The block afterwards contains of 4 columns, three for the Cartesian position of the mapping and the last for the total field strength, which are formatted as X[RJ], Y[RJ], Z[RJ], B[nT] TravelTimesNorth.txt and TravelTimesSouth.txt contain the calculated travel times of the Alfven waves corresponding to the northern and southern Io Footprint (IFP), respectively. The travel times are calculated by using the observed positions of the IFP by Bonfond et al. (2017) and mapping along the magnetic field lines of the JRM33 model to Io's orbit. Then, the longitudinal distance to Io's position at the time of the observation is divided by Io's synodic orbital frequency. The file is formatted as Lon[°], Travel Time [s], Error [s] Lon is the system 3 eastern longitude of the footprint. Travel Time is the calculated travel time as described above and Error is the propagated uncertainty given by Bonfond et al. (2017) Dipole.txt and Multipole.txt are the CSV inversion results. For N = 10000 randomly chosen scale heights (between 0.4 and 1.6 Jupiter radii [RJ]) and peak densities (between 500 and 3500 particles per cm³), the resulting misfit for a torus centered at the dipole or multipole centrifugal equator has been calculated, respectively. The files have 10000 CSV lines which are formatted as Peak Density [1/cm³], Scale Height [RJ], Misfit Peak Density is the maximum particle density at the center of the torus and Scale Height is the scale height H of the torus with the density profile decreasing with distance z to the center of the torus corresponding to \(\rho = \rho_0 e^{-z^2 \over H^2}\)