The Ark

Hoping for Forever - S1-E10

Factual error: Trust called Proxima B an "eyeball" planet, meaning according to him a planet that does not spin on its own axis and always has one side facing the sun. That is incorrect. If only one side faces the sun it means the rotation on its axis and its revolution around the sun are the same.Otherwise, the planet would seasonally have all of its surface facing the sun once every solar year.

toroscan

Two by Two - S1-E6

Factual error: They are headed to Proxima, the closest star to Earth, but somehow use another system, a binary star, to use solar sail propulsion to get to a planet to get uranium-238. There is no closer star.

Two by Two - S1-E6

Factual error: The ship is using solar sails to accelerate. The sails are far too small to make a significant change to the speed of the ark. Also, when they approach breakaway, the ship rumbles. There is no mechanism for a transient stress. It is not like breaking the sound barrier.

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