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Frederf · 09-01-09, 04:47 PM

I went through the math again and my page of equations was replaced by a simple few lines of better equations. It's simply:

EDIT
L = ArcSin ( C/S Sin A )

Where L is the lead angle, C is the speed of the target, S is the speed of the submarine, and A is AoB (0-180°). A very complete table would be huge but for reasonable speeds it could be small. A graph with several curves would be more compact, readable, and usable for common scenarios. I figure it's pretty useful as it works for both intercept and torpedo problems. It's nice to have a backup solution in case a juicy target starts slipping out of view and the TDC solution is discovered to be bad.

It's of note that such a graph or table might be slightly easier and faster to figure out the speed based on the angle instead of the usual reverse. Mostly I did it just to see if I could do the math still.

09-01-09, 04:47 PM	#4
Frederf Seasoned Skipper Join Date: Apr 2005 Posts: 665 Downloads: 79 Uploads: 1	I went through the math again and my page of equations was replaced by a simple few lines of better equations. It's simply: EDIT L = ArcSin ( C/S Sin A ) Where L is the lead angle, C is the speed of the target, S is the speed of the submarine, and A is AoB (0-180°). A very complete table would be huge but for reasonable speeds it could be small. A graph with several curves would be more compact, readable, and usable for common scenarios. I figure it's pretty useful as it works for both intercept and torpedo problems. It's nice to have a backup solution in case a juicy target starts slipping out of view and the TDC solution is discovered to be bad. It's of note that such a graph or table might be slightly easier and faster to figure out the speed based on the angle instead of the usual reverse. Mostly I did it just to see if I could do the math still. Last edited by Frederf; 09-01-09 at 10:21 PM.