In April 2008, a rotational lightcurve of Hildegard was obtained from photometric observations by Australian amateur astronomer David Higgins. Lightcurve analysis gave a well-defined rotation period of 24.855±0.002 hours with a brightness variation of 0.36±0.01magnitude (U=3).[8] Previously in June 1999, observations by Brian Warner at his Palmer Divide Observatory (716) in Colorado only gave a period of above 24 hours and an amplitude larger than 0.3 magnitude (U=1).[9][a] Asteroid's with a rotation period near 24 hours are difficult to observe, since full coverage can not be obtained by a few consecutive nights of observation from a single observatory alone, due to Earth's nearly synchronous rotation. In such cases, international collaborations are highly useful with each observatory covering a different section of the lightcurve.
In 2016, a modeled lightcurve gave a concurring sidereal period of 24.8544±0.0005 hours using data from a large collaboration of individual observers (such as above). The study also determined two spin axes of (344.0°, 27.0°) and (164.0°, 8.0°) in ecliptic coordinates (λ, β).[10]
Diameter and albedo
According to the survey carried out by the NEOWISE mission of NASA's Wide-field Infrared Survey Explorer, Hildegard measures 11.693±0.153 kilometers in diameter and its surface has an albedo of 0.205±0.041.[6][7] The Collaborative Asteroid Lightcurve Link assumes a standard albedo for a stony asteroid of 0.20 and calculates a diameter of 13.58 kilometers based on an absolute magnitude of 11.7.[8]
Notes
^Lightcurve plot of (898) Hildegard, Palmer Divide Observatory, Brian Warner (1999). Rotation period larger than 24 hours with a brightness amplitude larger than 0.3 mag. Quality code is 1. Summary figures at the LCDB.
^ abcMasiero, Joseph R.; Mainzer, A. K.; Grav, T.; Bauer, J. M.; Cutri, R. M.; Dailey, J.; et al. (November 2011). "Main Belt Asteroids with WISE/NEOWISE. I. Preliminary Albedos and Diameters". The Astrophysical Journal. 741 (2): 20. arXiv:1109.4096. Bibcode:2011ApJ...741...68M. doi:10.1088/0004-637X/741/2/68.
^Hanuš, J.; Ďurech, J.; Oszkiewicz, D. A.; Behrend, R.; Carry, B.; Delbo, M.; et al. (February 2016). "New and updated convex shape models of asteroids based on optical data from a large collaboration network". Astronomy and Astrophysics. 586: A108. arXiv:1510.07422. Bibcode:2016A&A...586A.108H. doi:10.1051/0004-6361/201527441. ISSN0004-6361.