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Mathematical models of heavenly bodies as seen from earth have always fascinated mankind who could find patterns in time. Examples of Mayan calendars, Indian, Chinese, Saros Cycle etc are examples. Since Keplar’s time, mathematical modeling of the heavenly bodies in time and position has been of great interest to astronomers. Since the advent of computers the precision has increased many fold. Algorithms to provide positional and temporal data are well proven. Meeus’s work ‘Astronomical algorithms’ (ref) is a great example. Modern software for eclipses come in many forms, but generally use similar algorithms. The user interface and presentation of data may be different. Some examples are Planetary Software, Annala’s Lodestar pro, and Digital Universe by Syzygy Research & Technology etc.
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