In October 2004, a rotational lightcurve of Franklina was obtained from photometric observations by American Brian Warner at his Palmer Divide Observatory (716) in Colorado . Lightcurve analysis gave a rotation period of at least 16 hours with a brightness amplitude of 0.05 magnitude or more (U=2−). The results, however, apart from an 8-hour long decline in brightness, are not very conclusive.[9][a] Two month earlier, French amateur astronomer Cyril Cavadore also attempted to determine the asteroid's period with little success (U=1).[13] Based on its exceptionally low brightness variation, Franklina might be a rather spherical body with little to no albedo features on its surface, or, it might be due to a yet undetermined long period. Typically, a collaboration of astronomers taking photometric measurements around the globe is required to measures the period of such slow rotators.
Diameter and albedo
According to the survey carried out by the Infrared Astronomical Satellite IRAS, the Japanese Akari satellite, and the NEOWISE mission of NASA's Wide-field Infrared Survey Explorer, Franklina measures between 31.1 and 33.2 kilometers in diameter and its surface has an albedo between 0.18 and 0.21.[6][7][8] The Collaborative Asteroid Lightcurve Link derives an albedo of 0.1837, and adopts a diameter of 32.47 kilometers from IRAS, based on an absolute magnitude of 9.9.[14]
Notes
^ abLightcurve plot of (982) Franklina, Palmer Divide Observatory, by B. D. Warner (2004). Rotation period of at least 16 hours with a brightness amplitude of >0.05 mag. Quality code is 2−. Summary figures at the LCDB.
^ abcMasiero, Joseph R.; Mainzer, A. K.; Grav, T.; Bauer, J. M.; Cutri, R. M.; Nugent, C.; et al. (November 2012). "Preliminary Analysis of WISE/NEOWISE 3-Band Cryogenic and Post-cryogenic Observations of Main Belt Asteroids". The Astrophysical Journal Letters. 759 (1): 5. arXiv:1209.5794. Bibcode:2012ApJ...759L...8M. doi:10.1088/2041-8205/759/1/L8.