Prerequisite picture of a (nearly?) full moon that one must take when they get a new long zoom camera/lens:

And, conveniently, quickly seeing its limitations when I try to do the same with a much dimmer blood moon. I manually set infinite focus because the camera never thought the tiny red spot was really what I wanted to focus on, and I was trying different exposure times in shutter priority mode. Anything over 4 seconds the blur was too bad even on just the LCD, though the 4 second shots don't look that great either.

I am only just now realizing that it didn't bother upping the sensitivity in any of the shots, which seems strange. Though maybe it's because the 250 ISO shot made the sky quite bright as well (see the 5 second sample below), presumably from light pollution and/or the sunrise coming from the other direction.