As readers will be aware, today, Saturday the 23rd of March 2019, the Northern Vernal Equinox occurs on Mars, which by definition marks the beginning of Mars Year 35 (such years being counted from the Martian year of the great dust storm that occurred during the year 1956 AD on Earth).
The moment at which this equinox will occur is about 11:18 UTC, or 10:18 pm Australian Eastern Daylight (Saving) Time: so ring in MY 35 then.
I do hope all will celebrate, at least by praying (if not actually working) for the success of all missions to Mars, and perhaps enjoying a Mars bar, watching a cartoon starring Marvin the Martian, reading Bradbury's The Martian Chronicles, or partaking of a suitable Mars-themed cocktail.
One hopes that, if SpaceX's promises come to pass, not too many years will elapse before Martian New Year can be celebrated on the Red Planet by humans from Earth.
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A curiosity: while Martian days ("sols") and years are defined, it is as yet impossible to say what day of the week it is on Mars.