In the film the discovery is made at the Mt. Kenna Observatory in South Africa. Have a look at the Mt. Kenna Observatory. Does it look familiar to you?
Clearly both of the matt paintings were based on the 200-inch Hale Telescope at Palomar.
Here's a short clip for you:
The movie is available on DVD. If you watch you'll also see a background painting showing the 100-inch Hooker Telescope on Mt. Wilson.