Solving for Time: Paradox Equations for Astronauts Near Light Speed

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SUMMARY

The discussion focuses on calculating time dilation and proper time for an astronaut traveling near the speed of light, specifically using the Lorentz factor (gamma). The proper time experienced by the astronaut (B) is indeed less than the time measured by an observer on Earth (A). Key equations include the Lorentz transformation and the relationship between time and speed, emphasizing the effects of time dilation and length contraction in relativistic physics.

PREREQUISITES
  • Understanding of special relativity principles
  • Familiarity with the Lorentz factor (gamma)
  • Basic knowledge of time dilation and length contraction
  • Ability to apply the equation c = s/t in relativistic contexts
NEXT STEPS
  • Study the Lorentz transformation equations
  • Learn about time dilation calculations in special relativity
  • Explore the implications of length contraction for moving observers
  • Investigate practical applications of relativistic physics in space travel
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Physics students, aerospace engineers, and anyone interested in the effects of relativity on time and space, particularly in the context of high-speed travel.

NeroBlade
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Hi

Do any of you guys know what equations or formulas I should be using for questions like "If A is on Earth and B is an Astronaut traveling near the speed of light". Calculate the duration of B's journey to A and the duration of B's journey according to B.

I assume that B's time calculation (The proper time) is less than the time calculated in A's frame. I'm puzzled when the equation involving gamma was involved which I think is the Time Factor.

Could you tell me which equations should I be looking at for those 2 situations other than c = s/t
 
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NeroBlade said:
I assume that B's time calculation (The proper time) is less than the time calculated in A's frame. I'm puzzled when the equation involving gamma was involved which I think is the Time Factor.
Gamma, the Lorentz factor, is involved with both time dilation and length contraction.

Could you tell me which equations should I be looking at for those 2 situations other than c = s/t
That's the big one. Realize that distances are contracted for the moving observer.
 

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