May somebody tell me where I can get the air properties like density-viscosity- thermal conductivity under vacuum conditions (i.e. in pressures less than atmospheric pressure) ?
Viscosity in gases arises principally from the molecular diffusion that transports momentum between layers of flow. An elementary calculation can be found on the Wikipedia page
https://en.wikipedia.org/wiki/Viscosity#Gases
Air density for reduced pressure can be calculated from the "ideal gas equation". The thermal conductivity may be a little harder to find. I'll come back when I find something.
At very low pressure, the theory for continuous gases might not be applicable, as we should discuss individual molecules instead.