## Unbiased inclination distributions for objects in the Kuiper Belt.

####
A. A. S. Gulbis, J. L. Elliot, E. R. Adams, S. D. Benecchi, M. W. Buie,
D. E. Trilling, and L. H. Wasserman

AJ 140 350-369 (2010).

### ABSTRACT

Using data from the Deep Ecliptic Survey (DES), we investigate the
inclination distributions of objects in the Kuiper Belt. We present a
derivation for observational bias removal and use this procedure to
generate unbiased inclination distributions for Kuiper Belt objects
(KBOs) of different DES dynamical classes, with respect to the
Kuiper Belt plane. Consistent with previous results, we find that the
inclination distribution for all DES KBOs is well fit by the sum of two
Gaussians, or a Gaussian plus a generalized Lorentzian, multiplied by
sin i. Approximately 80% of KBOs are in the high-inclination grouping. We
find that Classical object inclinations are well fit by sin i multiplied
by the sum of two Gaussians, with roughly even distribution between
Gaussians of widths 2.0+0.6 -0.5° and 8.1+2.6 -2.1°. Objects in
different resonances exhibit different inclination distributions. The
inclinations of Scattered objects are best matched by sin i multiplied
by a single Gaussian that is centered at 19.1+3.9 -3.6° with a width
of 6.9+4.1 -2.7°. Centaur inclinations peak just below 20°, with one
exceptionally high-inclination object near 80°. The currently observed
inclination distribution of the Centaurs is not dissimilar to that of the
Scattered Extended KBOs and Jupiter-family comets, but is significantly
different from the Classical and Resonant KBOs. While the sample sizes
of some dynamical classes are still small, these results should begin
to serve as a critical diagnostic for models of solar system evolution.

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