To create a calendar system for Mars in tandem with a 24 and Lat/Long system is considerably easier that the original system which created the leap day/rotation correction in terms of the relationship between rotations and an orbital circuit.

The fundamental use of a background star to provide an orbital marker using rotations as a gauge is now easily gauged by using a satellite like SOHO which would capture the transition of a star from left to right of the Sun as it, along with the Earth, orbits the Sun -

https://helioviewer.org/

The current value of 687 Earth days for a Martian orbital circuit would change as the rotational period of Mars is based on Earth hours, minutes and seconds so the conversion into a unique set of values assigned to a Martian leap day/rotation is contingent on the generation of a 24 hour Martian day, the value for one rotation are fairly close to that of the Earth to borrow the terms.

The fact that the line-of-sight transition of the stars from left to right of the Sun due to the orbital motion of the Earth alone can now be identified by SOHO as can the additional drift (Precession of the Equinoxes) beyond the large leap year adjustment is a result that even the leap year adjustment is only approximate proportion of rotations to orbital circuits.