ø determination

The azimuthal angle (ø) is angle between the center line of two antennas and the transmitter.  The great circle formula is used to calculate the angle of the South Pole - Balloon - Transmitter (A on the figure),



 cos c = cos a cos b + sin a sin b cos C,
 sin a / sin A = sin b / sin B = sin c / sin C,

where a (and b) is given by the GPS latitude of the transmitter (the balloon) and C is the longitude difference of transmitter and balloon.
Finally, the ø is obtained by ø = 180 - (A + orientation) degrees, here the antenna orientation is measured by the house keeping data.

Apr 18 2004,  Jiwoo Nam