Yes, Jes, I think you are overthinking a bit.
The odd-looking number 1.98, has nothing to do with me being particularly accurate or bright. The number is just there to point you to the corresponding master sailplan
Ten years ago I produced a string of master sails, called the Johanna style master sails, with AR rising from 1.80 to 2.25 with 0.05 increments, and all with 70° yard angle. Only recently did I design a string of master sails with yard angles at 65 and 60°.
To make them, I started with the ‘Johanna 70’ master sails.
I kept the four lower panels and made new 3-panel top sections, doing my best to make the area of these top panels almost the same as in the lower panels.
I stick with the method in PJR for finding the AR: AR= h/chord, where h is the vertical height from peak to boom. In your case, this Johanna 60sail with AR=1.98 is thus a result of the Johanna 70 master’s with AR = 2.00.
This is how I go about to find a suitable rig for a boat like yours.
- · I start with drawing a vertical mast line where the mast is supposed to go.
- · Then I draw a long boom line with 10° rise.
- · Then I play with this formula to find a possible combination of batten length and AR which gives the wanted sail area and a usable mast balance.
SA = B x B x AR x 0.78. This formula hits within one sqm, but remember to, in this case, put AR = 2.00 into the formula.
- · In your case I end up with a 60° yard to allow a hi-balance sail to sit.
- · Then I go to the string of Johanna 60 master sails (found und MASTER SAILPLANS here: The Junk Rig Association - Arne Kverneland ) and pick the one with AR= 1.98. A quick check with the calculator make sure that the area will be right.
- · From the two sheets of that master sailplans you can decide how much camber you want (I use 8%) and by reading Chapter 4, find the right numbers for the needed Round, R.
Clear as mud, right?
Arne