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NASA Is going Ahead With Plans to Set a Time Zone on The Moon
(www.sciencealert.com)
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It is all a question of definition. The second is defined as "the duration of 9,192,631,770 periods of the radiation corresponding to the transition between the two hyperfine levels of the ground state of the caesium-133 atom" - obviously with Earth conditions in mind.
So if Moon time is 56 microseconds ahead of Earth time per day, why not just adding 514,787.37912 transitions periods per day in Moons atomic clocks, and everything is fine?
Because then seconds are longer on the moon, so if you tell your spaceship “burn fuel for 16.52891 seconds” it may burn fuel for slightly too long or too short if two people on the team used different definitions of seconds. We’ve already had historical spacecraft malfunctions due to confusion about units.
Communication requirements rely on time being in sync, but engineering requirements rely on time having a time having a fixed length definition.
The real solution is probably something like a time zone that relative to earth time progresses faster but periodically adds leap seconds, or something along those lines.
This isn’t that outrageous of a solution when you learn that we are frequently adding leap seconds to our earth clocks already.