This is a good clear thorough analysis of the tangential escape--a better linear escape than the straight-ahead escape or my wait-until-Ogre-has-committed-22-degrees escape.
I'm sorry to be beating a dead horse, but I would now like to revisit the issue of the tacking duel. In particular, if we suppose that in the very first second of time, Ogre moves CW and Maiden moves at angle a, as determined above. Now suppose that in the next second, Ogre reverses direction ("tacks") and steps back to O's start point, moving CCW.
(1) What is M's move? Does she do that recalculation you mentioned? If so, it's a different calculation, as she is now no longer directly opposite Ogre, and (in a large enough pond) hasn't gotten to a point where she has a guaranteed straightline solution.
(2) If she does not recalculate, I predict the Ogre will continue moving CCW. WHEN will M do her recalculation, and what will it look like then?
You mean, when you're trying to use the editor to create a spoiler, you are unable to do so successfully? Me, too. In both Internet Explorer and Google Chrome (worse in Chrome). So what you have to do is type the explicit syntax for a spoiler. It involves a few square brackets (open and close), an equal sign, a slash, and the word "spoiler", twice.
open-square-bracket the-word-spoiler equals-sign your-spoiler-title close-square-bracket all-the contents-of-the-spoiler-could be many lines open-square-bracket slash the-word-spoiler close-square-bracket.
Good answer on the puzzle! I could see, among a few possibilities, that 21 is half of 42, but I had no idea how to divide by 2.