Aircraft Tail Radars

For aircraft tail radars, the math for the velocity correction is different.

Velocity Correction for Aircraft Tail Radars
Parameter	Description
Azimuth	Because the axis of primary rotation is horizontal, azimuth is the angle relative to a perpendicular scan. Thus zero means scanning in a plane, positive means scanning a cone faced forwards, and negative means scanning in a cone faced backwards.
Elevation	Because the axis of primary rotation is horizontal, elevation is the angle of rotation about the axis of aircraft motion, with zero pointing out towards the left wing, and positive going up from there.
Recorded angles	Recorded angles are aircraft relative, and all angle syncing is done aircraft relative. It does not make sense to correct the angles to earth relative before recording.
Roll and pitch	Reversed sign on airplanes against ships. The computation of the A matrices defined for ships have the reversed sign. Note that since no other interpretation of the roll and pitch is done, this can otherwise be ignored.

The antenna vector relative to the aircraft is as follows:

x' = [\begin{matrix} \begin{matrix} - \cos E L & \cos A Z \end{matrix} \\ \begin{matrix} \sin A Z \\ \begin{matrix} \sin E L & \cos A Z \end{matrix} \end{matrix} \end{matrix}] A Z a n d E L a r e a i r c r a f t r e l a t i v e

Before computing the velocity correction dot product, we first must convert to earth relative, using the equation above:

x = A^{- 1} x

After that, everything is the same as for ships.