The worst thing is they pepper in attempts to show they pay attention to science like it's a hard science show only to completely disregard that point specifically.

"Oh what about solar sails to push us away from its path? What, we're too far from any suns!"

then later

"Oh, wait, the asteroid is a comet, you can tel by its tail!"

Comets only have tails if they're near a sun.

And nevermind all their inconsistent stuff about gravity.

Establishing the spinning is required for gravity and then... they have gravity on the bits that don't spin. And on the bit that spins, they walk where the ceiling should be and have domes implying they'd be bowl shaped if the gravity was working correctly.

Plus, they're under thrust! They're ignoring thrust gravity, too.

Also, where do they get their seemingly infinite supply of oxygen anyway? They have a leak and suddenly, the air gets refilled just by being to locate the leak, not by actually plugging the leak.