I can compute the following data for the Moon for a given time and geographic location using the JPL Horizons system:
- Apparent RA & DEC
- Apparent azimuth & elevation (AZ-EL)
- Target range & range rate (relative to observer)
- Illuminated fraction
- Phase angle and bisector
Is it feasible to compute the shape and orientation of the crescent from this data and if yes how is the computation procedure. I would be grateful if any one can answer this question for me.