Examples for gravitational time dilation

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SUMMARY

This discussion focuses on gravitational time dilation, specifically its implications for the Global Positioning System (GPS) and the relevant equations. The equation for gravitational time dilation in a spherically symmetric gravitational field is given by √(1 - (2GM)/(rc²)), where G is the gravitational constant, M is the mass of the Earth, r is the radial distance from the center of the Earth, and c is the speed of light. Participants confirm that this equation accurately calculates time dilation effects, particularly in relation to GPS functionality, which relies on precise time measurements to avoid navigation errors.

PREREQUISITES
  • Understanding of gravitational fields and their effects on time
  • Familiarity with the Global Positioning System (GPS) technology
  • Knowledge of the equation for gravitational time dilation
  • Basic principles of special and general relativity
NEXT STEPS
  • Study the derivation and implications of the gravitational time dilation equation
  • Explore the role of GPS in navigation and how it compensates for time dilation
  • Learn about the differences between special relativity and general relativity
  • Investigate real-world applications of gravitational time dilation in satellite technology
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Physicists, aerospace engineers, GPS technology developers, and anyone interested in the practical applications of relativity in modern technology.

Ahmed Samra
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Can you tell me examples for the gravitational time dilation and its answers?
 
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Look up the Global Positioning Satellite System (GPS). If gravitational time dilation were not well understood, the GPS system would have you driving your car into buildings and in corn fields and rivers.
 
I understood the gravitational time dilation but I can't understand it's equation. Can you explain the equation to me?
 
I mean to tell me it's units and what do they mean
 
Can you explain to me the equation about the non - rotating sphere and when do I use it
 
In a spherically symmetric gravitational field, where the clock has no motion at all in relation to the field, the amount of time passed as measured with the clock will vary with the factor:

\sqrt{1-\frac{2GM}{rc^2}}

So the deeper in a gravitational field you are, the more your clock will slow down. Was that what you wanted to know?
 
So, by this equation I will figure out the gravitational time dilation?
 
Ahmed Samra said:
So, by this equation I will figure out the gravitational time dilation?

Yes. You can plug in the mass of the Earth and different radial distances from the centre of the Earth and see how much time slows down at that position compared to if the Earth had not been present.
 
  • #10
Okay thank you it helped :)
 
  • #12
Is there a particular scenario you are trying to understand?
 
  • #13
I just want to know is this the right equation for calculating the gravitational time dilation
 
  • #14
Ahmed Samra said:
Is this the right equation? For calculating the gravitational time dilation? http://genesismission.4t.com/Physics/gtd.htm

yes, that is the correct equation for a spherically symmetric non-rotating mass.

please please please stop repeat-posting - it doesn't get you any faster answers and it clutters up the forum, and it makes work for the (underappreciated, overworked, infinitely patient) moderators who have to clean u the mess.

Post one single question as clearly as possible, then shut up and wait until you get either an answer or a request for clarification.
 
  • #15
If I am traveling in a plane by a velocity 15000 km/s according to special relativity the time will delay for the reference frame of the observer at the sea level. So, let's say time decreased by 7 ns. However, according to general relativity time will speed up because I am away from the centre of gravity, so time will speed up according to the reference frame of the observer at the sea level, and let's say that time will peed up about 47 ns. 47-7=40 ns. So, the time will increase about 40 ns am i right?
 

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