This paper describes progress made on modeling the effect of Earth albedo for attitude determination on the Local IONospheric Measurements Satellite. LionSat must rely on magnetometer and coarse sun-sensor data (from body-mounted solar panels on all ten faces) for attitude determination. Using data from the Total Ozone Mapping Spectrometer, a simplified albedo database model that averages reflectivity data across all longitudes (and across the 6-month mission lifetime) along with a geometric field-of-view model, one can model the albedo intensity at each panel on the satellite. A sun-vector is calculated using a nonlinear least-squares algorithm, with resulting errors of up to 5 degrees in sun-vector position. Simulations of the attitude determination and control system show that LionSat can achieve acceptable performance for scientific measurements.