This discussion leads to the second big problem with the WOK setup. How could the Reliant possibly miss the number of planets in this system and fail to note the discrepancy? All the more so because they weren't just making a temporary stop - they were evaluating the system for its suitability to host a top-secret, military-backed science project?
And it's not just a matter of, "Oh, well, Ceti Alpha V looked a lot like the recorded description of Ceti Alpha VI, so . . . . " You enter the system, which contains at least six planets. You aren't interested in the total number, but one looks good for your purposes, so you call it Ceti Alpha Six, which according to everything we know and all principles of logic means that you are counting planets outward from the star they orbit and you want the sixth one out. You count six planets out and you orbit.
That means, if Ceti Alpha VI exploded, that you end up on the former Ceti Alpha VII, not Ceti Alpha V.