The variant of the spaceplane depicted here is the original version presented by CNES at the Paris Airshow the previous spring.
Interestingly, the launch vehicle envisioned is an Ariane 1. The maiden flight of that rocket was just 2 months after the issue of the magazine and this may have influenced the artist.
However, in no way an Ariane 1 would have been able to throw Hermes in orbit. The first operational rocket of ESA was designed to deliver payloads in GTO (1 800kgs) not to LEO. But even with a reduced 3rd stage, the booster capability would have never fit with the 10 tons mass of Hermes.
Source : Science et Vie #745, October 1979