Calculate Cartesian coordinate from radar coordinates
Parameters : | rng : array
az : array
ele : array
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Returns : | x, y, z : array
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Notes
The calculation for Cartesian coordinate is adapted from equations 2.28(b) and 2.28(c) of Doviak and Zrnic [R2] assuming a standard atmosphere (4/3 Earth’s radius model).
Where r is the distance from the radar to the center of the gate, \(\theta_a\) is the azimuth angle, \(\theta_e\) is the elevation angle, s is the arc length, and R is the effective radius of the earth, taken to be 4/3 the mean radius of earth (6371 km).
References
[R2] | (1, 2) Doviak and Zrnic, Doppler Radar and Weather Observations, Second Edition, 1993, p. 21. |