From: Laserlight <laserlight@q...>
Date: Thu, 21 Jan 1999 22:43:09 -0500
Subject: [FT] Vector Movement Cheat Sheet
I got this message from my opponent in a recent game: > MB 4, RP 5, to heading 11. This leaves every ship in my fleet with I made a chart with Facings as the columns and Thrust as the rows. I tried copying it into this message from MS Excel but it isn't properly spaced and will be easier, I think, to make your own (although I'll eventually make a table in HTML). Each cell has a formula to calculate the change in X (or Y) position based on the amount of thrust you're using and the heading. X = Thrust * sin(Heading * 30 degrees), Y the same except cosine instead of sine. If you're using Excel, you have to convert from radians to degrees, so you'd have sin(Heading*30*PI()/180). Using this chart, we see that the first vector mentioned yields (+18, +0), the second (+0, -2), and the third (+3.46, -2). Adding these together, we find his endpoints are (+21.46, +0) from his initial position. This is quick and easy (otherwise I couldn't do it), does not demand a computer (eg if you're working out your positions on the bus, at work, etc.), and is more accurate than plotting on graph paper. Hope this helps.