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## Homework Statement

A spaceship leaves Earth at time ##t=0## with constant speed ##u##. Its clock is synchronized with the terrestrial one. At time T an earthling reads with an optical telescope the clock inside the spaceship. What value does he read?

## Homework Equations

Lorentz equations.

## The Attempt at a Solution

The solution says:

##c(T-T_e)=u T_e##

##T_e=\frac{T}{1+u/c}## and ##X_e=\frac{uT}{1+u/c}##

Apply a Lorentz transformation:

##t=\sqrt{\frac{1-u/c}{1+u/c}}T## at ##x=0##

And ##t## is the answer.

However when I tried to solve it I considered also the time needed for light to reach the Earth from the spaceship. As a consequence my solution would be ##t'## such that:

##t'=t+T-T_e##

Is it wrong?

Thank you very much.