Factual error: When the command module, with the engine shut down, is in earth or lunar orbit or in trans lunar coast (external shot), you hear a rumbling sound. It's in a non powered coast, so there shouldn't be any engine noise.
From the Earth to the Moon (1998)
1 mistake - chronological order
Starring: Tom Hanks, David Andrews, Lane Smith, Nick Searcy
James Webb: Surely the President realises that the moment a man steps foot on the moon will be a definitive one in the history of the world.