Map Projection for Satellites

For circle orbits ( Iorb - inclination, Torb – period)

X = C * L
dY/dPhi = C * sqrt( cos(Phi)^-2 + cos(Iorb)^-2 – 2 * Torb / (Tearth *
cos(Iorb) ) )

Possible: if PhiIorb
dY/dPhi = const = C * sqrt( cos(Iorb)^-2 + cos(Iorb)^-2 – 2 * Torb /
(Tearth * cos(Iorb) ) )

X, Y – map coordinates
L, Phi – longitude, latitude

Such map has property: equal paths (on map and on surface of sphere)
for equal times.

Example (Torb=90 minutes)
Iorb=51.6 (ISS) http://programtree.com/map51or.gif
Large BMP file(1920*1920) http://programtree.com/map51.bmp

Iorb=28.5 (Cape Canaveral) http://programtree.com/map28or.gif
Large BMP file(1920*1480) http://programtree.com/map28.bmp