The Science of Moon Sighting
This is an attempt to present a clear perspective of the science of moon-sighting and to clarify some of the common misconceptions about moon-sighting.
Main Factors for Crescent Visibility
Most people associate visibility with the age of the moon. The age of the moon is simply the time lapsed since the new moon. Crescent formation depends upon the angular separation of the moon from the sun as seen from the earth. As time passes from the instant of new moon, the moon moves slower than the sun appears to move (because of rotation of the earth). This causes the angular separation between the sun and the moon and the formation of the crescent. This may be explained better with the help of the following figure.