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The Deep Ecliptic Survey (DES) discovered hundreds of Kuiper Belt objectsfrom 1998-2005. Follow-up observations yielded 304 objects with good dynamicalclassifications (Classical, Scattered, Centaur, or 16 mean-motion resonanceswith Neptune). The DES search fields are well documented, enabling us tocalculate the probability of detecting objects with particular orbitalparameters and absolute magnitudes at a randomized point in each orbit.Grouping objects together by dynamical class leads, we estimate the orbitalelement distributions (a, e, i) for the largest three classes (Classical, 3:2,and Scattered) using maximum likelihood. Using H-magnitude as a proxy for theobject size, we fit a power law to the number of objects for 8 classes with atleast 5 detected members (246 objects). The best Classical slope isalpha=1.02+/-0.01 (observed from 5<=H<=7.2). Six dynamical classes (Scatteredplus 5 resonances) are consistent in slope with the Classicals, though theabsolute number of objects is scaled. The exception to the power law relationare the Centaurs (non-resonant with perihelia closer than Neptune, and thusdetectable at smaller sizes), with alpha=0.42+/-0.02 (7.5<H<11). This isconsistent with a knee in the H-distribution around H=7.2 as reported elsewhere(Bernstein et al. 2004, Fraser et al. 2014). Based on the Classical-derivedmagnitude distribution, the total number of objects (H<=7) in each class are:Classical (2100+/-300 objects), Scattered (2800+/-400), 3:2 (570+/-80), 2:1(400+/-50), 5:2 (270+/-40), 7:4 (69+/-9), 5:3 (60+/-8). The independentestimate for the number of Centaurs in the same H range is 13+/-5. If insteadall objects are divided by inclination into "Hot" and "Cold" populations,following Fraser et al. (2014), we find that alphaHot=0.90+/-0.02, whilealphaCold=1.32+/-0.02, in good agreement with that work.

De-biased Populations of Kuiper Belt Objects from the Deep Ecliptic Survey