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The Kuiper Belt luminosity function from mR= 22 to 25
Authors:J-M Petit †  M J Holman †  B J Gladman †‡  J J Kavelaars †  H Scholl  T J Loredo
Institution:Observatoire de Besançon, BP 1615, 25010 Besançon cedex, France;Harvard–Smithsonian Center for Astrophysics, MS-18, 60 Garden St., Cambridge, MA 02138, USA;Observatoire de la Côte d'Azur, BP 4229, 06304 Nice cedex 04, France;National Research Council Herzberg Institute of Astrophysics, 5071 West Saanich Road, Victoria, BC V9E 2E7, Canada;Department of Astronomy, Cornell University, Ithaca, NY 14853, USA
Abstract:In summer 1999, we performed a survey optimized for the discovery of irregular satellites of Uranus and Neptune. We imaged 11.85 deg2 of sky and discovered 66 new outer Solar system objects (not counting the three new Uranian satellites). Given the very short orbital arcs of our observations, only the heliocentric distance can be reliably determined. We were able to model the radial distribution of trans-Neptunian objects (TNOs). Our data support the idea of a strong depletion in the surface density beyond 45 au.
After fully characterizing this survey's detection efficiency as a function of object magnitude and rate of motion, we find that the apparent luminosity function of the trans-Neptunian region in the range   mR = 22–25  is steep with a best-fitting cumulative power-law index of  α≃ 0.76  with one object per deg2 estimated at magnitude   R o= 23.3  . This steep slope, corresponding to a differential size index of   q ≃ 4.8  , agrees with other older and more recent analyses for the luminosity function brighter than 25 mag. A double power-law fit to the new data set turns out to be statistically unwarrented; this large and homogeneous data set provides no evidence for a break in the power-law slope, which must eventually occur if the Bernstein et al. sky density measurements are correct.
Keywords:surveys  astrometry  Kuiper Belt  Solar system: formation
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