There are two twins, A and B. While twin A stays home, twin B travels with a speed (12/13)c to a far planet. Once twin B arrives at the planet, they turn around and travel back home at the same speed. When twin B arrives home, they find that they are 32 years younger than twin A.  How far away is the planet in twin A's frame of reference?

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There are two twins, A and B. While twin A stays home, twin B travels with a speed (12/13)c to a far planet. Once twin B arrives at the planet, they turn around and travel back home at the same speed. When twin B arrives home, they find that they are 32 years younger than twin A. 

How far away is the planet in twin A's frame of reference?

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Step 1

The distance of the planet in twin A's frame is the proper distance. 

For the twin B, time passes slowly compared to twin A. 

The time passed in twin A's frame of reference will be 

t=321-12132t=83.2 yrs

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