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The centerboard can compensate a little for weather helm as if you raise the board a little, the center of lateral resistance will shift aft, assuming that you have a typical centerboard design with the pivot point on the forward end.
The more you raise it, the more the center of lateral resistance will shift aft... until the board disappears in to the hull... and then it is the hull shape and rudder that will determine where the CLR point is.
BTW, if you raise it all the way on most monohulls...you'll get lots and lots of leeway... so you probably don't want to do that.
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You know what the first rule of sailing is? ...Love. You can learn all the math in the 'verse, but you take
a boat to the sea you don't love, she'll shake you off just as sure as the turning of the worlds. Love keeps
her going when she oughta fall down, tells you she's hurting 'fore she keens. Makes her a home.
—Cpt. Mal Reynolds, Serenity (edited)
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