We present photometric, astrometric, and spectroscopic observations of the
nearby (9.8 pc) low-mass binary G1 569Bab (in turn being a companion to the
early-M star Gl 569A) made with the Keck adaptive optics facility. Having
observed Gl 569Bab since 1999 August, we are able to see orbital motion and
to determine the orbital parameters of the pair. We find the orbital perio
d to be 892 +/- 25 days, the semimajor axis to be 0.90 +/-0.02 AU, the ecce
ntricity to be 0.32 +/-0.02, and the inclination of the system to be 34 deg
rees +/-3 degrees (1 sigma). The total mass is found to be 0.123(-0.022)(+0
.027) M-circle dot (3 sigma). In addition, we have obtained low-resolution
(R=1500-1700) near-infrared spectra of each of the components in the J and
K bands. We determine the spectral types of the objects to be M8.5 V (Gl 56
9Ba) and M9 V (Gl 569Bb) with an uncertainty of half a subclass. We also pr
esent new J- and K-band photometry that allows us to place the objects in t
he H-R diagram accurately. Most likely the binary system is comprised of tw
o brown dwarfs with a mass ratio of 0.89 and with an age of approximately 3
00 Myr.