  The high-energy gamma-ray emission discovered using the H.E.S.S. telescopes
from the binary system PSR B1259 -63, is modelled using an extension of the
approach that successfully predicted it. We find that the simultaneous INTEGRAL
and H.E.S.S. data permit both a model with dominant radiative losses, high
pulsar wind Lorentz factor and modest efficiency as well as one with dominant
adiabatic losses, a slower wind and higher efficiency. Additional,
simultaneous, X-ray and TeV data sets are needed to lift this degeneracy.
