The muon g-2 Experiment at Fermilab measures the anomalous magnetic moment, $a_\mu$, with improved precision compared to the previous experiment at Brookhaven National Lab.
The greater than 3 standard deviations difference between Standard Model prediction and the previous BNL, $a_\mu$, measurement hints at the possibility of new physics. Positive polarized muons are circulated in the storage ring and the experiment precisely determines the muon anomalous precision frequency, $\omega_a$, (spin precession relative to momentum). The $\omega_a$ is determined from calorimeter measurements of decay positron time and energy. The experiment also needs to precisely determine the average magnetic field seen by the muons, which is based on continuous NMR probe measurements. A detailed understanding of beam and spin systematic effects is required for the precise determination of $\omega_a$. This talk gives a review of the beam and spin systematic effects that are significant for determination of $\omega_a$ in the 2018 Run-1 analysis.