Posted by royston on Saturday, November 10, 2012 at 8:44am.
Two radar stations A and B, are separated by the distance a = 500 m, track the plane C by recording the angles α and β at 1second intervals. If three successive readings
are
t (s) 9 10 11
α 54.80◦ 54.06◦ 53.34◦
β 65.59◦ 64.59◦ 63.62◦
calculate the speed v of the plane and the climb angle γ at t = 10 s.
The coordinates of the plane can be shown to be,
x = a*((tan β)/(tan β − tan α))
y = a*((tan α tan β)/(tan β − tan α))

mechanics (calculating plane speed and climb angle  Steve, Saturday, November 10, 2012 at 9:33am
maybe I'm missing something, but if angles α and β are in the xy plane, how do we figure the altitude of the plane, and hence any climb rate? No mention is made of altitude, either of the radar stations, or of the plane.
No figure here, so I'm not sure of the 3D layout.

mechanics (calculating plane speed and climb angle  eyob, Sunday, June 23, 2013 at 2:28pm
nikaw
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