Moving off earth means a lot of things change. And if we not only get off earth, but manage to colonize other star systems, they change a lot.
On Earth we have our "simple" 24 hour clock, with 60 minute hours and 60 second minutes.
Those numbers are actually a lot better than most folks think. 24 is evenly divisible by 2, 3, 4, 6, 8 and 12. That makes it easy to split things up for shifts and the like. The sometimes suggested "decimal time" only lets you divide the day into 2 or 5 chunk without dealing with odd fractions.
And 60 is divisible by 2, 3, 4, 5, 6, 10, 12, 15, 20 and 30.
So a standard day will likely remain 24 hours/ 1440 minutes/ 86,400 seconds.
Now, on Mars or some hypothetical planet around another star the length of the "solar day" is going to be different. And it's important to not get the local day and the standard day confused.
I'm going to assume that we will follow the lead of the folks monitoring the various Mars landers and use sol for the local solar day.
We will want to divide the sol into useful periods. And do some *evenly*.
Why? consider colonists on Mars. The sol is an important unit, because many/most outdoor activities are going to depend on sunlight.
One commonly seen proposal is that we just keep hours, minutes, etc. That's kind of doable, but a royal pain.
Consider Mars. A mean Martian solar day, or "sol", is 24 hours, 39 minutes, and 35.244 seconds.
The guys on graveyard shift are not gonna appreciate having that extra 40 minutes in their shift.
And once you have more than one base on the planet (unless they are very close to each other, you have to deal with timezones. So that make the extra "40" minutes happen at different times of day depending on your longitude. Ick. That make things worse.
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