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#21
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Looking for a math wiz!
"Jim Carter" writes:
Everett M. Greene ] .... And a simple explanation of the whole process is that the wind triangle has three (vector) components: heading, course, and wind. The vector sum of heading and wind gives course which is the problem that pilots are accustomed to solving. Rearranging the equation so as to compute wind given heading and course is not at all difficult. The law of cosines allows determination of the third side of a triangle given two sides and the included angle. The law of sines allows determining the other two angles given the three sides. There is no left/right ambiguity given the course and heading. The problem given one aircraft has many solutions because neither heading nor wind vector can be determined by radar. Two unknowns for the 3 factor problem. Heading will change as a function of wind vector and vice-versa. I recall the original posting said that heading was known as it would be in many approach/departure scenarios. As a sidebar: is this just an exercise or is the goal to empower the controllers to provide accurate real-time winds aloft? |
#22
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Looking for a math wiz!
I recall the original posting said that heading was known as it would be in many approach/departure scenarios. No...the OP said the GROUND TRACK was known. The heading would not be known unless the controller asked the pilot for his heading. As a sidebar: is this just an exercise or is the goal to empower the controllers to provide accurate real-time winds aloft? I was thinking that controllers should have an accurate knowledge of the winds aloft direction and speed while vectoring aircraft to the localizer. On a couple of occasions a controller assigned me a heading to intercept the localizer that did not allow me to intercept the localizer until after the FAF due to his misunderstanding of how the winds were carrying me downwind. Kobra |
#23
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Looking for a math wiz!
This is why ground track (and ground speed) is actually now perferable
to heading and airspeed. But what with all the FAA certification and all planes not having GPS (or SOME kind of rnav), we're stuck using the antiquated heading and indicated airspeed. Ah, I pine for the days a good old 4 course range....when all pilots were men........... Kobra wrote: I recall the original posting said that heading was known as it would be in many approach/departure scenarios. No...the OP said the GROUND TRACK was known. The heading would not be known unless the controller asked the pilot for his heading. As a sidebar: is this just an exercise or is the goal to empower the controllers to provide accurate real-time winds aloft? I was thinking that controllers should have an accurate knowledge of the winds aloft direction and speed while vectoring aircraft to the localizer. On a couple of occasions a controller assigned me a heading to intercept the localizer that did not allow me to intercept the localizer until after the FAF due to his misunderstanding of how the winds were carrying me downwind. Kobra |
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