Angular power spectra of ultra-high energy cosmic rays traveling through the galactic magnetic field

We use the method of calculating spherical harmonics coefficients to model the behavior of ultra-high energy cosmic rays through the galactic magnetic field (GMF). By tracking antiprotons out to a certain distance, then using their positions on the sky to determine the probability of UHECR coming from that direction before reinjecting them toward a detector, we can realistically simulate the effect the GMF would have on incoming UHECR particles' observed distributions at the Earth's surface.