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Re: Set and Drift
From: Eddie C. Dost
Date: 2006 Jun 7, 03:50 +0200
From: Eddie C. Dost
Date: 2006 Jun 7, 03:50 +0200
Hi Bill, I get (almost) the same result as the solution requested: True course is 45d. COG is 51.9d. Distance travelled is 7.9nm. So far so good. I am used to extending the distance to speed, so I get 7.9nm * 60min/h / 52min = 9.1kts SOG Using Vector math and solving (polar (r, phi) vectors): (9.1kts @ 52d) - (9.2kts @ 45d) = (1.12kts @ 143.6d) Varying the SOG/COG values just a little yields very different results. Taking such values of a plotting paper or a chart is mostly "guess work". I use a rough estimate to call an answer to such a question as in your example correct when drift is within +/- 0.2 nm and set is withing +/- 10 degrees when I have to correct such exams. Something seems to be off with your triangle calculations, as your results up to that point are the same as I have. Hope this helps, Eddie On Tue, Jun 06, 2006 at 08:56:40PM -0400, Bill wrote: > > I'll forward your "problem" to where I work, where I can look at the chart and > > see where they came up with their answer. Sorry I can't help sooner. I'll > > try to have an answer to you around 00h00 (UTC) 8 Jun. > > Thanks Pete > > I initially worked it without a chart using rectangular to polar conversion: > > dLat 4.9 > dlon 8.3 > Mean Lat 41d 13' 27" > Conversion factor, lon to nm > = mean lat cosine = .752137015 > .752137015 * 8.3' lon = 6.242737222 nm > > After R to P conversion: > Distance = 7.936105344 nm > True = 051d 52' 16.3" > > C (psc) 056 > D +04 E > M 060 > V -15W > T 045 > > One angle of the oblique triangle > = 051d 52' 16.3" - 045d = 006d 52' 16.3" > > One adjacent leg = 7.936105344 nm > The other = time * speed = 52 min * 9.2 = 7.9733333 nm > > Using the law of cosines the drift leg = .954121933 nm > Using the law of sines to derive the other angles and doing a bit of > geometry, I come up with set of 136d 00.4' > > Plotting it graphically on the chart, on a plotting sheet, and in a computer > drawing program, my results agree within +/- .05 nm and +/- 1d, so I am at a > loss. > > Bill -- __________________________________________________brainaid______________ Christian Dost brainaid GbR Bluecher & Dost software Monheimsallee 45 phone +49 241 5151 138 D-52062 Aachen fax +49 241 5151 139 ecd@brainaid.de Germany cell +49 172 9312808