Solving for Time: Paradox Equations for Astronauts Near Light Speed

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To calculate the time experienced by an astronaut traveling near light speed compared to an observer on Earth, the Lorentz factor (gamma) is essential for understanding time dilation. The proper time experienced by the astronaut (B) will indeed be less than the time measured by the observer on Earth (A). The relevant equations include those for time dilation, which can be expressed as t' = t / gamma, where t' is the proper time and t is the time in the stationary frame. Additionally, it's important to recognize that distances appear contracted for the moving observer, affecting their journey's duration. Understanding these concepts is crucial for solving problems related to relativistic travel.
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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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