  We present the three-dimensional orbital motions of metal-poor stars in
conjunction with their metal abundances, for the purpose of getting insight
into the formation process of the Galaxy. Our sample stars, which include
metal-deficient red giants and RR Lyrae variables observed by the Hipparcos
satellite, are least affected by known systematics, stemmed from kinematic
bias, metallicity calibration, and secondary metal contamination of stellar
surface. We find, for the stars in the metallicity range of [Fe/H]<-1, that
there is no evidence for the correlation between [Fe/H] and their orbital
eccentricities e. Even for [Fe/H]<-1.6, about 16% of the stars have e less than
0.4. We show that the e distribution of orbits for [Fe/H]<-1.6 is independent
of the height |z| away from the Galactic plane, whereas for [Fe/H]>-1.6 the
stars at |z|>1 kpc are systematically devoid of low-e orbits with e<0.6. This
indicates that low-e stars with [Fe/H]<-1.6 belong to the halo component,
whereas the rapidly-rotating thick disk with a scale height about 1 kpc has a
metal-weak tail in the range of -1.6<[Fe/H]<-1. The fraction of this metal-weak
thick disk appears to be only less than 20%. The significance of these results
for the early evolution of the Galaxy is briefly discussed.
