Since Mars's moons aren't the big honkers ours is and revolve to fast to be useful I didn't use them for months. Instead the length of a month is based on the length of the orb - the 4 holidays and the martian length of the week 8 sol. This gives us a standard 32 sol month. By shifting the holidays a sol or two forward every month can start on the same sol name.
Ideally the Martians should have their own words for days, months and years. I used sol for a Martian day based on NASA use during the Viking missions. Mensis comes from Latin for month. Orb is short for orbit, I found it used on a Mars calendar page and like it better than the Latin annus for a year. Weekday names are similar to many Earth cultures using the "planets", including the Sun and both of Mar's moons in order of what I think would be their brightness in the sky.
Many orbs would have 669 sols. A few 668. Priests/Astronomers on Mars should determine each orb if the 669th sol is the Last sol of an orb or the First sol of a new one by observation and later calculation of the sunrise on that day. Martian culture would use this day culturally; if its the 669th sol celebrations as the gods make the orb longer or the opposite as the spring has been postponed.
Leap Years I'm still working on this part
After calculations each odd orb is 669 sols long. Each even 668. If the orb is divisible by 11 add an additional sol. If divisible by 750 add another. This cycle will gain almost 1 day every 10,000 orbs. Someone should invent an atomic clock by then. Leap orb calculation Yes it is possible to have leap orbs, 11 leap orbs and 750 leap orbs in the same orb.
2004-01-26: Actually its much easier than that there is a system to do 668/699 days all the time for thousands of years, the defaults for the calculation program show this now. I just havent updated this calendar.
Raw Data:
1 Sol = 1 rotation of Mars on its axis = 24.6229 Earth days
1 Orb = 1 revolution of Mars about the Sun
Number of sols in 1 orb: 668.5921 = 686.98 Earth days
1 revolution of Deimos around Mars: 30 earth hrs
1 revolution of Phobos around Mars: 7.6 earth hrs
Spring lasts 193.30 sols or 194 sols
Summer lasts 178.64 sols or 178 sols
Autumn lasts 142.70 sols or 142 sols
Winter lasts 153.94 sols or 154 sols
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