MATLAB: True heading and Wind direction

aircraftairplaneheadwindtailwindtrue headingwind

Hello,

Given I have wind value, wind direction and true direction

May i know if in matlab, we have a function which resolves the wind into components parallel and perpendicular to my true direction?

In the end, I want to know if we have headwind or tailwind component?

Thanks

Best Answer

There isn’t one specifically, but you can create one easily enough:

windhx = @(C,W,S) S*[sind(abs(C-W)); cosd(abs(C-W))];       % [Crosswind; Headwind] = windhx(Course, WindDirection, WindSpeed)

This takes aircraft course ‘C’ (the direction of intended flight), wind direction ‘W’, both in degrees, and windspeed ‘S’, in whatever units you want (usually knots). It produces a (2x1) vector of crosswind component in the first row, and headwind component in the second row. Negative values indicate a Left crosswind and a Tailwind, respectively.

See the Wikipedia article on Tailwind for more information.

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You do not have a distance for the first set of data.

If you know any two of duration, speed, and distance, then you can find the third. But you do not have duration, you have desired times of take-off. You do have speeds: you have two sets of speeds that we do not know how to distinguish, the v-series and the s-series. You do not have distances.

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delta_t = linspace(0, 10, 50);  %row vector!
start_times = t;   %the given values

velocities = v;    %the given values
end_times = [ones(length(start_times),1), start_times(:)] * [delta_t; ones(1,length(delta_t))]   %matrix multiply intended

how_far_traveled = velocities(:) * delta_t;  %matrix multiply intended
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