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Ah, I think I understand you now. So you aren't saying, for example, that the rotation would be such that it would cause the terminator line to move if a settlement were built on it (you could expect the terminator line to be fairly stable), but you are saying that the rotation that is present...

The "rotation" of 37 days only means that the planet rotates relative to a stationary observer, but not relative to the red dwarf. Theh same side always faces the red dwarf. The National Geographic piece http://www.youtube.com/v/CNeTxPgGJ7I&hl noted that red dwarfs are almost always flare...