We present the results of a medium depth ecliptic sky survey conducted
with telescopes at the Mauna Kea and Cerro-Tololo Observatories. The
survey revealed 15 new Kuiper Belt objects, and 2 Centaurs (objects or
biting in the vicinity of the gas giant planets), bringing the total n
umber of Kuiper Belt objects to 32 and Centaurs to 6. We use the new o
bjects to begin to constrain some of the properties of the Kuiper Belt
and Centaur populations. The apparent width of the Kuiper Belt is 10
degrees full width at half maximum (FWHM) but, after correcting for th
e effects of observational selection, we find that the intrinsic width
must be at least 30 degrees FWHM. The inferred number of objects in t
he 30-50 AU heliocentric distance range is 7X10(4) (diameters greater
than or equal to 100 km). Of these, about 40% (approximate to 3X10(4))
are in or near the 3:2 mean-motion resonance with Neptune. Pluto, whi
ch also occupies this resonance, is now seen as the largest of a hithe
rto unknown family of dynamically similar, resonantly trapped objects.
We find that the Centaurs have a sky-plane surface density that is ap
proximate to 0.5 deg(-2) to m(R)=24.2. The total population with absol
ute magnitude H-g less than or equal to 9.5 (diameter approximately gr
eater than or equal to 75 km if albedo approximate to 0.04) is N appro
ximate to 2600, about an order of-magnitude greater than the correspon
ding number of large main-belt asteroids. We crudely estimate that 1.5
M(Earth) of material has been cycled from the Kuiper Belt through the
Centaurs in the age of the solar system. (C) 1996 American Astronomic
al Society.