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Subject: Re: Leg 83
From: Hal Mueller (hal@XXX.XXX)
Date: Tue Sep 24 2002 - 17:11:54 EDT
At 3:30 PM -0400 9/24/02, Arthur Pearson wrote:
>I did use a vector diagram to figure the adjustment for current which was a
>good dust off of something I haven't done in while. I am curious if there
>are formulas that could be programmed that would take as inputs the plotted
>(or calculated) course, the speed through the water and the set and drift of
>the current and which would then ouput the adjustment needed (or course to
>steer) to compensate for the current and make good the plotted course.
The vector triangle you drew has the core of the solution. Draw something like
A
B
C
where CB is your own heading/speed, BA is the current
direction/speed, and CA is your resulting course/speed over the
bottom (VMG). Various applications of the law of sines and law of
cosines will enable you to solve for the cases you run into, but
additional logic, or a haversine solution, is needed to get the
signs/quadrants right.
For the typical "course-to-steer" problem, you know the length of CB
(speed through the water), angle/length of BA (set/drift), and the
angle of CA (bearing to destination). You're interested in finding
the angle of CB (course to steer), but once you've done that you may
as well also find length of CA (speed made good over the bottom).
Hal
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