The photometric periods of the nova-like cataclysmic variable LQ Pegasi (PG 2133+115)

We present a time-resolved differential photometric study and time series analysis of the nova-like cataclysmic variable star LQ Peg. We discover three periodicities in the photometry, one with a period of 3.42 ± 0.03 h, and another with a period of 56.8 ± 0.01 h. We interpret these to be the apsidal superhump and precessional periods of the accretion disk, respectively, and predict that the orbital period of LQ Peg is 3.22 ± 0.03 h. The third periodicity, with a period of 41.3 ± 0.01 h, we interpret to be the nodal precessional period of the accretion disk. We also report a flare that lasted four minutes and had an energy in visible light of (1.2 ± 0.3) × 10³⁶ ergs, or 10^4-5 times more energetic than the largest solar flares, comparable to the most energetic visible-light stellar flares known. We calculate the absolute magnitude of LQ Peg to be M_J = 4.78 ± 0.54, and its distance to be 800 ± 200 pc.