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We analyzed images of comet 49P/Arend-Rigaux on 33 nights between 2012January and May and obtained R-band lightcurves of the nucleus. Through usualphasing of the data we found a double-peaked lightcurve having a synodicrotation period of 13.450 +/- 0.005 hr. Similarly, phase dispersionminimization and the Lomb-Scargle method both revealed rotation periods of13.452 hr. Throughout the 2011/12 apparition, the rotation period was found toincrease by a small amount, consistent with a retrograde rotation of thenucleus. We also reanalyzed the publicly available data from the 1984/85apparition by applying the same techniques, finding a rotation period of 13.45+/- 0.01 hr. Based on these findings we show that the change in rotation periodis less than 14 seconds per apparition. Furthermore, the amplitudes of thelight curves from the two apparitions are comparable, to within reasonableerrors, even though the viewing geometries differ, implying that we are seeingthe comet at a similar sub-Earth latitude. We detected the presence of a shortterm jet-like feature in 2012 March which appears to have been created by ashort duration burst of activity on March 15. Production rates obtained in2004/05, along with reanalysis of previous results from 1984/85 imply a strongseasonal effect and a very steep fall-off after perihelion. This, in turn,implies that a single source region dominates activity, rather than leakagefrom the entire nucleus.

The Rotation and Other Properties of Comet 49P/Arend-Rigaux, 1984 - 2012