The system for astronomical predictions on Earth is based on the calendar system allied with an implied correlation between the Lat/Long system and the 24 hour day hence people can predict events within that format as days and dates using the proportion of rotations to orbital circuits as an integer which can be reduced to a fraction. The Earth's proportion of rotations per orbital circuits is 1461 rotations for 4 orbital circuits.

To apply predictions to observations seen from Mars would require a copy of the structures that exist on Earth so the different frameworks outlined here would provide the necessary narrative for a Lat/Long system on Mars with its own day and leap day correction.