  LB 3459 (AA Dor) is an eclipsing, close, post common-envelope binary
consisting of an sdOB primary star and an unseen secondary with an
extraordinarly low mass - formally a brown dwarf. A recent NLTE spectral
analysis shows a discrepancy with the surface gravity, which is derived from
analyses of radial-velocity and lightcurves. We aim at precisely determing of
the photospheric parameters of the primary, especially of the surface gravity,
and searching for weak metal lines in the far UV. We performed a detailed
spectral analysis of the far-UV spectrum of LB 3459 obtained with FUSE by means
of state-of-the-art NLTE model-atmosphere techniques.
  A strong contamination of the far-UV spectrum of LB 3459 by interstellar line
absorption hampers a precise determination of the photospheric properties of
its primary star. Its effective temperature (42 kK) was confirmed by the
evaluation of new ionization equilibria. For the first time, phosphorus and
sulfur have been identified in the spectrum of LB 3459. Their photospheric
abundances are solar and 0.01 times solar, respectively. From the C III
1174-1177A multiplet, we can measure the rotational velocity of 35 +/- 5 km/sec
of the primary of LB 3459 and confirm that the rotation is bound. From a
re-analysis of optical and UV spectra, we determine a higher log g = 5.3 (cgs)
that reduces the discrepancy in mass determination in comparison to analyses of
radial-velocity and lightcurves. However, the problem is not completely solved.
