Traveling to Mars and time dilation

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SUMMARY

The discussion centers on the implications of gravitational time dilation when traveling to Mars. It establishes that the time dilation difference between Earth and Mars is negligible for most activities, with unmanned spacecraft on Mars experiencing no significant issues over decades. However, for precise applications like a Mars GPS system, the time dilation must be accounted for, as it can affect timing accuracy. The mathematical principles of gravitational time dilation are outlined, emphasizing that significant effects only arise under extreme conditions, such as near light speed or deep within a gravity well.

PREREQUISITES
  • Understanding of gravitational time dilation concepts
  • Familiarity with GPS satellite technology
  • Basic knowledge of orbital mechanics
  • Mathematical skills for calculating time dilation factors
NEXT STEPS
  • Study the mathematical formulas for gravitational time dilation on the Wikipedia page
  • Research the design and functionality of Mars GPS systems
  • Explore the effects of gravity wells on time perception and measurement
  • Investigate the historical context of unmanned spacecraft missions to Mars
USEFUL FOR

Aerospace engineers, astrophysicists, GPS system developers, and anyone interested in the effects of gravity on time during space travel.

Craftek_Ana
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If/when we go to Mars how will we deal with time dilation due to the gravitational differences between the two planets?
 
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The time dilation difference is too small to matter for most activities. For example, we have had unmanned spacecraft on Mars for several decades and the time dilation difference has never been an issue. If we wanted to set up GPS satellites orbiting Mars, then we would have to take the difference into account for the "Mars GPS" system to work correctly, yes.

The Wikipedia page on gravitational time dilation gives a good overview (although not perfect, it is Wikipedia), including the mathematical formulas for calculating the time dilation factor for someone standing on the surface of a non-rotating planet (which is still a pretty good approximation for Earth and Mars) and someone in a circular orbit about a planet.

https://en.wikipedia.org/wiki/Gravitational_time_dilation
 
Thank you, reading up on this now.
 
We humans are very adaptable. We have always found a way to make the environment fit us. The long trek to Mars is possible and then when we get there, we will have gravity. As I heard a quote in a movie once, "life finds a way".
 
Craftek_Ana said:
If/when we go to Mars how will we deal with time dilation due to the gravitational differences between the two planets?
Significant time dilation occurs in two possible situations.
1, If two objects (including observers of course) are moving relative to each other at close to light speed.
2. An object which is deep inside a very large gravity well is being observed from outside of the gravity well.
The first does not apply at all, and while the second one technically does apply, the gravity of Earth or Mars is not enough to lead to any time dilation that would be noticeable by a human, it's in the region of a few picoseconds in an hour.
As PeterDonis pointed out though, it's enough to be significant where extreme timing precision is needed, as in GPS.
 
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