How does gravity affect time on different planets?

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Discussion Overview

The discussion revolves around the effects of gravity on the passage of time on different planets, specifically exploring how varying gravitational accelerations, such as 3,000 m/s² compared to Earth's 9.8 m/s², influence time dilation. The conversation touches on theoretical implications and the necessary parameters for understanding gravitational time dilation.

Discussion Character

  • Exploratory, Technical explanation, Debate/contested

Main Points Raised

  • One participant questions how time passage would differ on a planet with a gravity of 3,000 m/s² compared to Earth.
  • Another participant asserts that gravitational time dilation is dependent on gravitational potential.
  • A subsequent reply suggests that knowing the gravitational acceleration alone is insufficient to determine potential.
  • Another participant emphasizes the necessity of knowing both the mass and radius of the planet to accurately assess gravitational potential, citing the example of Earth and a galaxy-mass black hole having the same gravitational acceleration but vastly different potentials.

Areas of Agreement / Disagreement

Participants express differing views on the relationship between gravitational acceleration and time dilation, indicating that there is no consensus on how to approach the problem without additional parameters.

Contextual Notes

The discussion highlights limitations in understanding gravitational time dilation without specific information about mass and radius, as well as the dependence on gravitational potential rather than just acceleration.

EasterEggs123
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If a planet has gravity that is 3,000 m/s^2 instead of 9.8 m/s^2, would time passage be significantly different, or what would one second on Earth be compared to one second on that planet?
 
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EasterEggs123 said:
If a planet has gravity that is 3,000 m/s^2 instead of 9.8 m/s^2, would time passage be significantly different, or what would one second on Earth be compared to one second on that planet?

Gravitational time dilation depends on the gravitational potential.
 
DrStupid said:
Gravitational time dilation depends on the gravitational potential.
But you can find the potential by knowing that it's 3000 m/s^2?
 
EasterEggs123 said:
But you can find the potential by knowing that it's 3000 m/s^2?

No.
 
You'd need to know the mass and radius of the planet. For example, The Earth has 1 G of gravity, but so does a galaxy-mass black hole with Schwarzschild radius of 1 light year. The potentials for those two cases are hugely different even though the field strength is about the same.
 

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