In front of the LMC molecular hydrogen is found in absorption near 0 km s(-
1), being local disk gas, near +60 km s(-1) in an intermediate velocity clo
ud, and near +120 km s(-1), being a high velocity halo cloud. The nature of
the gas is discussed based on four ORFEUS far UV spectra of LMC stars and
including data from the ground and from the IUE satellite. The local gas is
cool and, given a span of sight lines of only 2.5 degrees, rather huffy. T
he fractional abundance of H-2 varies from log f = log[N(H-2)/(2 . N(H-2) N(H I))] = -5.4 to -3.3. Metal depletions (up to -1.7 dex for Fe) are typi
cal for galactic disk gas. In the intermediate and high velocity gas an app
arent underabundance of neutral oxygen points to an ionization level of the
gas of about 90%. H-2 is detected in intermediate and high velocity gas to
wards HD 269546. In the intermediate velocity gas ive find an H-2 column de
nsity of log(N) similar or equal to 15.6. The H-2 excitation indicates that
the line of sight samples a cloud at a temperature below 150 K. Column den
sities are too small to detect the higher UV pumped excitation levels. The
high velocity H-2 (log(N) N 15.6) is highly excited and probably exposed to
a strong radiation field. Its excitation temperature exceeds 1000 K. Due t
o the radial velocity difference between the halo gas and the Milky Way dis
k, the unattenuated disk radiation is available for H-2 excitation in the h
alo. We do not find evidence for an intergalactic origin of this gas a gala
ctic as well as a Magellanic Cloud origin is possible.