A SAR is in an H kilometers high orbit inclined phi degrees to the pole of a spherical earth with radius r.  The center of the SAR beam looks at theta degrees away from normal.  Derive an equation for that relates the radius of the earth, the inclination and hieght of the orbit and the look direction to the latitude at which the center of the beam intercepts the earth's surface.

Compute the maximum observable northern and southern latitudes for radarsat-1 using standard beam 2.