Time passes faster on Mars than on Earth

According to RCO News Agency, Neil Ashby and Bijunath Patla of the National Institute of Standards and Technology in the United States calculated the time difference between Mars and Earth by taking into account the strength of gravity on Mars, which is five times weaker than on Earth, the speed and eccentricity of the Red Planet’s orbit around the Sun, and the gravitational influence of not only the Sun, but also Mars’ nearest neighbors, the Earth and the Moon.

Quoted by Space, Patla says: Mars’ distance from the Sun and its eccentric orbit increase the temporal variation. The three-body problem is very complicated. Now we are dealing with four bodies: the Sun, the Earth, the Moon, and Mars. This heavy work was more challenging than I first thought.

Einstein’s theory of general relativity explains how clocks can move faster or slower depending on which frame of reference they are in, a frame governed by velocity and the gravitational field. We call this effect “time dilation,” and it’s the same phenomenon that can lead to the twin paradox, where one twin is rocketed into space at nearly the speed of light, while the other twin stays home on Earth. When the astronaut twin returns home, he is younger than the twin left on Earth because the clocks run slower the closer they get to the speed of light. Similarly, time passes more slowly near a black hole because the gravitational field is much stronger than on Earth.

Because Mars is farther from the Sun than Earth, it orbits the Sun at a slower rate, which automatically causes clocks to run slower on Mars than on Earth. However, because Mars’ orbit around the Sun is slightly more eccentric than Earth’s, this means that Mars speeds up its orbit slightly when it is slightly closer to the Sun, and slows down when it is slightly further away. Similarly, the distance of Mars from the gravitational fields of the Sun and the Earth-Moon system also varies during a Martian year. Altogether, this results in a change in the speed of clocks on Mars relative to Earth. To an astronaut on Mars, one second is still one second, but to an observer on Earth, that second on Mars seems a fraction faster than the second measured by the observer on the clock on Earth. While the average difference between the clocks on Mars and Earth is 477 microseconds per day, this can increase or decrease by up to 226 microseconds depending on where Mars is in its orbit relative to Earth and our Moon.

Although the time dilation between Mars and Earth is nowhere near as dramatic as a relativistic spacecraft or at the event horizon of a black hole, it is enough to potentially disrupt any future navigation and communication networks we might build around Mars. For example, 5G must be accurate to within a tenth of a microsecond. Knowing this difference also allows networks on Earth and Mars to synchronize and ensure more efficient transfer of information between the two.

It may take decades for the surface of Mars to be covered by the tracks of stray rovers, but now it’s useful to study the issues of creating navigation systems on other planets and moons, Ashby says. Like current global navigation systems such as GPS, these systems will depend on accurate clocks, and the effects of clock speed can be analyzed with the help of Einstein’s theory of general relativity.

Ashby and Patella had previously calculated the difference in the passage of time on the Moon compared to Earth and found that clocks on the Moon run 56 microseconds faster than clocks on Earth.

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