This question isn't exactly what you think.
https://www.youtube.com/watch?v=XaHT0ZLeMdU
Sloops into the wind (Into the irons) = 1.05m/s
Galleys into the wind = 0.93 m/s
Galley Close Reach = 1.65m/s
Sloop Close Reach = 1.22m/s (substantially less which is important, sloop should therefore be slower in tack).
So intuitively it'll be optimal around close haul which is a standard tack...
So, in game, is the speed of a galley tacking close haul faster than a sloop running into the wind, WHEN we account for the increased distance of travelling right triangles to the sloop's line?
I know I know...kinda complex.
Cosine tells us that assuming a 1.65m/s for close hauled then the straight line distance traveled is 1.42m/s
Substantially faster than the Sloop.
If we take the KNOWN numbers, a close reach 1.65m/s then cosine tells us that you are travelling a straight line distance of 0.83m/s. Substantially less than had you just gone straight into the wind.
So to tack you MUST keep a close haul which is about 30 degrees off your straight line heading.
I need EXACT numbers for the close haul to really determine if the Galleon is FASTER than the sloop into the wind. It is reasonable to assume that game mechanics means the Galleon speed is even FASTER than 1.65m/s in close haul.
The game developers have kept the basic math correct for all other points of sail...why not that one, too?
Meaning a well tacked Galleon would run down a Sloop "making a run for it" like a push lawnmower over a garden gnome.
