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Homework Statement
Find the formula for the standard deviation (s_h) of heading angle, given the north and east standard deviation of position of two points (s_n1, s_e2, s_n2, s_e2), each point's north-east covariance (s_cov_ne_1, s_cov_ne_2) and the north and east distance between them (d_n, d_e). Simplify the problem by assuming that point 1 is known and therefore has zero standard deviation. Heading is defined as the angle from north from position 1 to position 2.
Homework Equations
heading = atan2 (-d_e / -d_n) ← this is given in the question. (atan2 not atan squared)
https://en.wikipedia.org/wiki/Propagation_of_uncertainty
The Attempt at a Solution
The east distance standard deviation is:
s_e = sqrt ( s_e1^2 + s_e2^2 – 2*cov); (not sure what covariance should be)
The north distance standard deviation is:
s_n = sqrt ( s_n1^2 + s_n2^2 – 2*cov); (not sure what covariance should be)
The standard deviation of (-d_e / -d_n) is:
s_x = sqrt ( (-d_e / -d_n)^2 * ( (s_e/d_e)^2 + (s_n/d_n)^2 – 2*cov/(d_n*d_e) ) )
(not sure what covariance should be)
Dont know how to get the covariance of atan2(something)
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