We report on optical spectroscopic observations of the X-ray transient XTE
J1118+480 covering the period from 2000 April 7 to July 4. The spectrum is
characterized by weak, broad, double-peaked Balmer and He lines on top of a
blue continuum of slope p approximate to 1/3, as expected for an optically
thick accretion disk. The weak Bowen blend seen in our spectra may indicat
e a low metallicity for the source. The presence of a partial S-wave patter
n in the He II lambda 4686 line appears consistent with the reported photom
etric period P-orb = 4.1 hr for XTE J1118+480. By using a combination of Do
ppler mapping and various theoretical arguments, we constrain plausible orb
ital parameters for the system: a mass ratio 0.02 less than or similar to q
less than or similar to 0.1 and an inclination i less than or similar to 7
0 degrees for a neutron star primary or 30 degrees less than or similar to
i less than or similar to 50 degrees for a black hole primary with a mass b
etween 4 and 10 M-circle dot. Ca II absorption features observed at very hi
gh resolution constrain the interstellar hydrogen absorption column log [N-
HI(cm(-2))] approximate to 20.45 + 0.2, and the identification of three abs
orbing clouds indicate a distance to the source less than or similar to1 kp
c, assuming the line of sight to XTE J1118+480 has average high-latitude pr
operties. These results are discussed in the context of previous multiwavel
ength observations of this unusual system.