We discuss the kinematic properties of a sample of 1936 Galactic stars
, selected without kinematic bias, and with abundances [Fe/H] less tha
n or equal to -0.6. The stars selected for this study all have measure
d radial velocities, and the majority have abundances determined from
spectroscopic or narrow-/intermediate-band photometric techniques. In
contrast to previous examinations of the kinematics of the metal-poor
stars in the Galaxy, our sample contains large numbers of stars that a
re located at distances in excess of 1 kpc from the Galactic plane. Th
us, a much clearer picture of the nature of the metal-deficient popula
tions in the Galaxy can now be drawn. Our present data can be well des
cribed in terms of a two-component kinematic model consisting of a thi
ck disk, rotating at roughly 200 km s(-1) (independent of metal abunda
nce), and an essentially nonrotating halo. The kinematics of these two
components suggest a very broad overlap in metallicity; the thick dis
k is shown to possess an extremely metal-weak tail, extending to abund
ances even lower than previously reported, down to at least [Fe/H] app
roximate to -2.0. A ''minimal-assumptions'' maximum-likelihood model i
s used to show that below [Fe/H] = -1.5 roughly 30% of stars in the so
lar neighborhood can be kinematically associated with the thick disk.
Over the metallicity interval -1.6 less than or equal to [Fe/H] less t
han or equal to -1.0, the thick-disk proportion rises to 60%. This fra
ction is only slightly smaller than contribution of thick-disk stars d
erived by Morrison, Flynn, and Freeman in the same metallicity interva
l (80%). Our confirmation that significant numbers of stars with thick
-disk-like kinematics exist in the solar neighborhood at arbitrarily l
ow metal abundance suggests that previous disagreements about the corr
elation of population rotation velocities and metal abundance (e.g., S
andage & Fouts vs. Norris) may be due primarily to the selection crite
ria employed, and the resulting different contribution of metal-weak t
hick-disk stars to the respective data sets. The non-Gaussian nature o
f the velocity distribution of extremely metal-poor stars ([Fe/H] less
than or equal to - 1.5) in the directions of the Galactic poles repor
ted by previous workers can also be understood as a consequence of the
overlap between a cold metal-weak thick-disk population and a hot hal
o population. A maximum-likelihood technique has been developed in ord
er to estimate the velocity ellipsoids of the thick-disk and halo comp
onents of the Galaxy. From the 349 stars in our sample with -1.0 less
than or equal to [Fe/H] less than or equal to -0.6 and \z\ less than o
r equal to 1 kpc, the velocity ellipsoid of the thick disk is (sigma(U
), sigma(V), sigma(W)) = (63 +/- 7, 42 +/- 4, 38 +/- 4) km s(-1) These
values are in remarkably good accord with the predicted thick-disk ve
locity ellipsoid obtained by Quinn, Hernquist, and Fullagar from simul
ations of a satellite-merger formation scenario. Based on this velocit
y ellipsoid, a radial scale length for thick-disk stars of h(R) = 4.7
+/- 0.5 kpc is obtained, larger than reported by Morrison, and similar
to the value obtained for the old-disk population. However, the appar
ent equality of sigma(V) and sigma(W) evidence that the thick disk is
kinematically distinct from the old-disk population, where sigma(V):si
gma(W) approximate to root 2:1. We find a substantially smaller asymme
tric-drift velocity gradient for presumed thick-disk stars (delta V-ro
t/delta\z\ = -13 +/- 6 km s(-1) kpc(-1)) than reported by Majewski (de
lta V-rot/delta\z\ = -21 +/- 1 km s(-1) kpc(-1)). From 887 stars in ou
r sample with [Fe/H] less than or equal to -1.5 the local velocity ell
ipsoid of the halo is (sigma(r), sigma(phi), sigma(theta)) = (153 +/-
10, 93 +/- 18, 107 +/- 7) km s(-1): that is, strongly radially peaked,
as indicated by previous studies. We find little difference in the ve
locity ellipsoids of this sample when it is split into two roughly equ
al pieces with -2.2 less than or equal to [Fe/H] less than or equal to
-1.5 and [Fe/H] less than or equal to -2.2, which indicates a lack of
radial metallicity gradient in the halo, as found from studies of the
Galactic globular cluster system. The velocity ellipsoid obtained fro
m the small number of stars in our sample with Galactocentric distance
s r> 10 kpc (N = 61) is (sigma(r), sigma(phi), sigma(theta)) = (115 +/
- 18,138 +/- 78,110 +/- 24) km s(-1), much less radially elongated tha
n found for the local sample.