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After considering what would be the best way to set up some system of self-steering, I came to the conclusion that the end result of any sailboat self-steering system is really no better than just simply setting the sails for the desired course and then lashing the tiller.
The boat will keep sailing in the same direction, in relation to the wind, which, as far as I can determine, is exactly what a self-steering system does,
It's great that you seem to have an interest in this concept.
Your premise, however, is incorrect.
Let me suggest an example. On our 1981 Catalina 25, 1987 to 1998, I developed a great sheet to tiller system - tiller, boom end mainsheet. Following John Letcher's suggestions,
Self Steering for Small Craft, I sought out some surgical tubing after failing with bungee cord. The pulpit stanchions held two clam cleats with open fairleads, and the two blocks one on either side, and the stern mooring cleats were to hand also.
The TRICK is to find the part of the tackle that is the main connector between the end of the boom and the becket block at the traveler, not one of the three other lines that run freer.
When heading upwind, tie the rolling hitch onto the hard part of the mainsheet, and through the block to the tiller with the surgical tubing opposite. All described in the links or Google. There are even YouTube videos of it working.
I enjoyed it so much I used to be able to tack the Cityfront on San Francisco Bay, port to starboard tack, north or south or east of Alcatraz efficiently.
Then I bought an autopilot.
Reason for the story is this: There is a great DIFFERENCE between locking a tiller and steering sheet-to-tiller because the wind can change. It often does. With the sheet-to-tiller, you would "Follow the Wind."
Nice name for a song, eh?
With a locked tiller your sails would either luff or get overpowered (assuming a close hauled start).
Think about it some more, and see if you can find John's book. It's a great read, with good sea stories and reasoning behind the concepts, and beyond simple end-boom mainsheet / tiller systems.
Much more difficult with cabintop mainsheet and wheels. I'm working' on it...
I'm also sure that if I Googled it, someone's already figured it out.
Actually I don't propose to balance my boat so well that it operates with little, if any, tiller adjustment.
Actually, you oughta. Balance the boat, and even with a fin keeled C25, it DOES work.
One of the great benefits from this three year exercise was to really learn sail trim. And an autopilot will teach you a lot of the same techniques.
Enjoy.