Time elapsed for observer (from POV of Traveler)

[Wakefulpanda]

Hey guys,

I have a question about elapsed time of the observer from the POV of the traveler.

To make things simple I'll just basically explain what my question is.

Person A is the observer (on earth) and person B is the traveler (flying at close to the speed of light)

Person A's clock elapses 1 minute. Person A sees person B's clock elapse 30 seconds. (I'm just using these times as an easier example)

In Person A's frame of reference he/himself has aged 1 minute and person B has aged 30 seconds.

Person B sitting aboard his spacecraft sees that for him 30 seconds have passed.

Now here is my question. If person B (traveling) were to observe person A (on earth) would person B (seeing that his clock elapsed 30 seconds) see person A's clock elapse 15 seconds? Since A is moving away from B (in B's frame of reference) B should see A's clock slowing.

If I am confusing something in my writing or confusing you with the question let me know.


Thanks so much for all your help.

 

[Passionflower]

Your question depends on what you mean by 'see'. Seeing as by using a measuring instrument would give a different clock rate based on the relativistic Doppler formula, in this case the other clock may be faster or slower depending on the direction of travel. However by taking into account light travel time you would have to apply the Lorentz factor, in this case the clock rate is always slower.

 

[Wakefulpanda]

Your question depends on what you mean by 'see'. Seeing as by using a measuring instrument would give a different clock rate based on the relativistic Doppler formula, in this case the other clock may be faster or slower depending on the direction of travel. However by taking into account light travel time you would have to apply the Lorentz factor, in this case the clock rate is always slower.

Thank you for your speedy reply to my question. Yes my question is based on the assumption that person B is traveling away from person A. This is yet another situation that is confusing me. A sees 1 minute pass for himself, A sees 30 seconds pass for B. B sees 30 seconds pass for himself, B sees 15 seconds pass for A. (And by sees I mean any instrument to measure, theoretical or otherwise)

Right now my brain is all sorts of confused. I can't figure out what I'm missing.