I'm getting into some confusion with relativity.
Consider a rocket and the Earth as two observers, and then the rocket travels to a distant star. Is the proper time taken measured in the frame of the rocket or the Earth?
As far as I know the rocket is at rest relative to the event, and the Earth is moving at a velocity $v$ relative to the event, so maybe I'm just getting confused about the definitions of proper time and dilated time.
If the Earth measures the dilated time then is the time it measures given by $t=t_0\gamma$, with $t_0$ being the proper time? And the proper time would be the time as measured by the rocket, so simply $t_0=d/v$?