It is one of those obviously ridiculous SciFi series (from the team that also did things like Thunderbirds and Captain Scarlett). So we don't really expect to take it seriously.
The key premise of the series is that the moon (and the people working on the human moonrise) are cast adrift from earth when a huge explosion in a nuclear dump blows the moon out of earth's orbit.
OK this is a ridiculous idea. But how ridiculous? Ignoring the problem of anything having enough energy to achieve the feat, what would be the realistic consequences of such an event for the moon or the earth (assuming it could happen quickly)? Could either planet survive?