  The high kinetic energy electrons that populate the Earth's radiation belts
emit synchrotron emissions because of their interaction with the planetary
magnetic field. A lunar near side array would be uniquely positioned to image
this emission and provide a near real time measure of how the Earth's radiation
belts are responding to the current solar input. The Salammbo code is a
physical model of the dynamics of the three-dimensional phase-space electron
densities in the radiation belts, allowing the prediction of 1 keV to 100 MeV
electron distributions trapped in the belts. This information is put into a
synchrotron emission simulator which provides the brightness distribution of
the emission up to 1 MHz from a given observation point. Using Digital
Elevation Models from Lunar Reconnaissance Orbiter (LRO) Lunar Orbiter Laser
Altimeter (LOLA) data, we select a set of locations near the Lunar sub-Earth
point with minimum elevation variation over various sized patches where we
simulate radio receivers to create a synthetic aperture. We consider all
realistic noise sources in the low frequency regime. We then use a custom CASA
code to image and process the data from our defined array, using SPICE to align
the lunar coordinates with the Earth. We find that for a moderate lunar surface
electron density of 250/cm^3, the radiation belts may be detected every 12-24
hours with a 16384 element array over a 10 km diameter circle. Changing
electron density can make measurements 10x faster at lunar night, and 10x
slower at lunar noon.
