ATLAS - Weight Sails and When to Use Them - Detailed Review with too much math
A detailed review of weight sails and how ship weight affects ship speed.
Sloop medium equation
(1-(w/3300))^0.5 = 0.6(1-(w/(4050)))^0.5; w=2988.68
Schooner small equation:
(1-(w/9000))^0.5 = 0.82*(1-(w/(9425))^0.5)+0.18*(0.6(1-(w/(9425)))^0.5); w=7032.65
Schooner large equation:
(1-(w/9000))^0.5 = 0.82*(0.6(1-(w/(10100))^0.5))+0.18*((1-(w/(10100)))^0.5); w=8259.3
Schooner both equation:
(1-(w/9000))^0.5 = 0.82*(0.6(1-(w/(10525))^0.5))+0.18*(0.6(1-(w/(10525)))^0.5); w=8321.76
Brig first sail equation
(1-(x/15000))^0.5 = ((2/3)*((1-(x/16100))^0.5))+((1/3)*(0.6*(1-(x/(16100)))^0.5)); w=12435.9
Brig second sail equation
(1-(x/15000))^0.5 = ((1/3)*((1-(x/17200))^0.5))+((2/3)*(0.6*(1-(x/(17200)))^0.5)); w=13056
Brig third sail equation
(1-(x/15000))^0.5 = ((0.6*(1-(x/(18300)))^0.5)); w=13618.6
Galleon first sail
(1-(x/30000))^0.5 = ((5/6)*((1-(x/31100))^0.5))+((1/6)*(0.6*(1-(x/(31100)))^0.5)); w=24212.1
Galleon second sail
(1-(x/30000))^0.5 = ((2/3)*((1-(x/32200))^0.5))+((1/3)*(0.6*(1-(x/(32200)))^0.5)); w=24871.7
Galleon third sail
(1-(x/30000))^0.5 = ((1/2)*((1-(x/33300))^0.5))+((1/2)*(0.6*(1-(x/(33300)))^0.5)); w=25506.4
Galleon 4 large speed & 2 large handling to 3 large speed, 2 large handling, 1 large weight equation
(2/3) * (1-(x/30000))^0.5 + (1/3) * (0.75)*(1-(x/30000))^0.5 = (1/2) * (1-(x/31100))^0.5 + (1/3) * (0.75)*(1-(x/31100))^0.5 + (1/6) * (0.6)*(1-(x/31100))^0.5; w=24651.3
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