The opening part of the episode in which Adam and Cassandra's time and era are shown appears to be recycled footage from the show Space 1999 and the movie This Island Earth.
Adam and Cassandra live in the year 2155. To be exact, the date they leave "their" Earth is November 10, 2155.
According to Adam, a nuclear holocaust takes place in 2007, which changes how all scientific discoveries are handled in the future.
Cassandra: A little danger is tonic for the soul.
Wonder Woman: (after lassoing Cassandra) Looks like the end of the trail for you, Cassandra.
IRAC: A man with a silver jump suit can not be taken seriously.
Wonder Woman: (after wrapping sniper's rifle around his neck and pinning him against observatory viewer) Now you, stay here!
Adam: Cassandra, what are you doing?
Cassandra: I'm about to make all my knowledge of the 20th century pay off!
On the 2006 Knots Landing reunion show, Ted Shackelford and Joan Van Ark mentioned that the first time they ever met was on the set of this episode.