Definitions:
Astronaut is A
Person on Earth is B
A travels to a star far away at near light speed,
A would see B's time dilate.
B would also see A's time dilate
Twin paradox revived:
What would happen if A returns to B at a very slow speed?
Then both frames of reference would see each others'...
This makes it clearer
Yes, I did get it messed up.
I THINK to sum it up:
With the Doppler effect you assume that the receiver is static (therefore + and -)
With the Galilean Transformation you assume the environment is static (therefore fixed cartesian co-ordinate systems)
I think when you get...
I'm getting quite stuck on this problem here.
Galileo said that Xb = Xa - V*Ta.
(This follows from dv = dx/t --> Xa - Xb = t*dv --> the above formula)
Thus, it is concluded Xa = Xb + V*Ta, but why?
In my thought experiment the objects are moving relative to each other,
thus if A is moving away...