Oh, last thing...
Time dilation and distance contraction are independent of direction, right? Distances behind you are equally contracted as those in front (or to the side) ?
Ibix,
Now I'm just trying to figure out which formula is used to solve which value being transformed. I was using t' of the distant event as being 1.14 times the 1 hour difference from the rest frame. At this point I was just trying to get a sense that the "now" of the distant clock would...
So moving on to the Lorentz part of this situation in case 2 is the following true:
The ship is moving at .5c as it passes clock A which reads noon and it "sees" clock B reading 11am. However the pilot thinks the distance to B is only .866 light hours not 1 lh away and that based on how...
To all who have responded, thank you and I do understand the distinction.
It is in fact the ambiguity of language that I'm dealing with here. When the lecturer uses phrases like "the person on the train sees...", they are implying 'after removing the effects of doppler shift' or 'only...
Apologies, I'm listening to a lecture on relativity and I would accuse the lecturer of using ambiguous language.
All I wanted to know was that in case 1 pilot sees Clock A showing one hour ahead of Clock B at the start and the reverse at the end.
In case 2 changing only that the craft is...
That is exactly where I wanted to get to. There are two (at least) simultaneous effects going on while the pilot is flying; the Lorentz transform being a real effect and a doppler effect being virtual and self eliminating on the return trip.
I'll get to the meat of the question at this point.
In the case where the ship was not initially stationary but moving towards clock A in such a way as to be collocated with it when it read noon I believe Lorentz pops up at this point and says that clock B no longer says 11am as in the earlier...
Yes, but I'm laying bricks here and I want to be sure I'm not messing up anything.
The following then must be true that during the flight from Clock A to Clock B, Clock A would appear to the pilot to be running more slowly than Clock B to go from an apparent hour ahead to an hour behind. And...
Sorry if this has been done elsewhere but I haven't seen it.
Case: At the start a craft with a pilot is collocated at a position with a clock A with a second clock B one light hour away synchronized with A. All are motionless relative to each other. Clock A reads noon and B reads 11am. Good...
I guess I was really trying to overthink this. I kept trying to add back the time it took for the light from the event to get back to me.
Okay, thanks guys.
I knew that time had to slow down on the ship because if it didn't it would be seen that ship velocity towards the sun plus light...
Even though the observer won't actually see it until much later? In other words, I, as the ship's captain, would calculate based on my frame's time and preserving c that the event took place 7.7 minutes before I left Earth (event A) and that somehow the sun is (or was?) 172 light minutes...