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Time ticks faster on the moon by 57 microseconds per Earth day

With lunar exploration ramping up, NASA has been tasked with defining a time zone for the moon. New calculations show that time is ever so slightly faster on the lunar surface, which can affect navigation
What time is it on the moon?
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Astronauts, set your watches. Time on the surface of the moon has been calculated to tick at a rate of 57 millionths of a second a day faster than it does on Earth, a difference that could be crucial as lunar exploration ramps up.

Later this decade, NASA hopes to return humans to the moon for the first time in more than 50 years, while in the past two years, six uncrewed spacecraft have attempted lunar landings. But increasingly, our lunar timekeeping isn’t up to scratch.

“We’re looking at a sustained presence on the moon,” says at NASA’s Goddard Space Flight Center in Maryland. “Infrastructure on Earth such as GPS provides time down to the nanosecond level. If you’re trying to navigate or land on the moon, and avoid dangerous areas, then that precision matters.”

To tackle this issue, NASA was recently to create a Coordinated Lunar Time (LTC) for the moon by the end of 2026. at NASA’s Jet Propulsion Laboratory in California and his colleagues were already working on the problem, and now have an answer. “Somebody needed to sit down and work out the maths,” says Turyshev.

Time ticks faster on the moon because of its gravity is one-sixth that of Earth, a result of time dilation, as postulated by Albert Einstein’s theory of general relativity.

Turyshev and his team have calculated the flow of time on Earth and the moon in reference to the centre of the solar system, known as its barycentre, which moves depending on the position of the planets relative to the sun. Their calculations show that time on the moon’s surface ticks 57.5 microseconds per Earth day (0.0000575 seconds) faster than it does on Earth’s surface, meaning that over the course of 50 years, an astronaut on the moon would be around a second older than if they had stayed on Earth.

“This approach may now be used to synchronise all the assets on the moon,” says Turyshev. “The issue of lunar time from a theoretical standpoint is successfully addressed.”

Other previous results for calculating lunar time have arrived at a similar number. In February, another study calculated that time on the moon’s surface than on Earth, based on the orbits of the two bodies. But having multiple results will be useful in order to create an accurate LTC, says Gramling. “The mathematics behind this will have to be synthesised together to make sure all the equations match up,” she says, noting it is likely that the moon will have just a single time zone at first for any point on its surface.

A definition of lunar time will come from a number of bodies, including the International Bureau of Weights and Measures and the International Astronomical Union, with some discussions set to take place in August. It will be up to individual countries also interested in lunar exploration, such as China, whether they decide to follow this recommendation, though.

Ultimately, defining moon time will also require us to set a future start date on which we begin tracking lunar seconds compared with Earth, in the same way that international atomic time, as measured by atomic clocks, was agreed to begin on Earth on 1 January 1977.

“At some point, we have to agree on what is the ‘zero’ day,” says Turyshev. The ideal situation would then be to place atomic clocks on the moon to monitor the effect of time dilation compared with Earth from that date. “There’s nothing like the real thing,” says Gramling.

Reference:

arxiv

Topics: General relativity / Time