I think this is why we originally thought we were in the center. When we first noticed that the universe was expanding, every direction we looked it was moving away from us like we were in the center! Boyah! But then we looked closer and noticed that objects 2X from us moved twice as fast...
Allow me to double check why. If someone is on the earth, and they speak to someone on the moon through a radio, that is approximately light speed communication. Now if I am flashing a laser dot on the moon, I can make the dot on the moon travel faster the light, but I am still not...
So then I want to restate my question. Does this mean that anytime someone claims that if we didn't correct for GR we would be off by several kilometers after one day is wrong? As long we we take one reading, actual GR effects on position are negligible, even if the clocks are running 39000...
So does this mean that anytime someone claims that if we didn't correct for GR we would be off by several kilometers in a day is wrong?
time difference between how they view 1 second ticks?
For every second on earth, satellite clock experiences 1 second + .44 nano seconds. Time...
I'm afraid this didn't answer my question as I pretty much know already everything you wrote.
I see it all the time that people claim if we didn't correct for GR, then the distance would be off by several kilometers in a single day. Taking Taylor's number of 39k nano seconds clock advance...
I'm working through "Exploring Black Holes" by Taylor and Wheeler. Their first project is on the GPS system and how GR must be accounted for. At the end you arrive at the conclusion that the satellite atomic clock will advance approximately 38,700 nanoseconds a day with respect to an atomic...
OKAY, I am really close to understanding then. So Taylor and Wheeler are apprioximating that the Earth clock is at rest in an inertial frame (though others have pointed out it is actually accerlating to stay in circular motion, yet very slowly). The satellight is doing the same but at a...
Humar me for a second. If the universe were entirely flat spacetime (ie, the whole universe operates simply under SR), would there be a reference frame under which a clock at rest would have maximum timing any everyone else in every other frame would agree that this particular frame was maximum...
MeJennifer/Russ,
Doesn't this invalidate the very core of SR. I thought in SR there was no experiment in which you could do to prove that two separate observers in separate inital frames, that one is traveling FASTER then the other. Motion is only relative. So an example given in...
So, am I right then in my second paragraph? We are defining are rest frame as the Earth clock, and the satellight is in relative motion to this frame. Therefor we see (per SR, ignoring GR for a second) its clock run slow. Since we are doing calculations for our location in our own rest frame...
I am looking over the Project A: Global Positioning System is Exploring Black Holes; introduction to General Relativity by Taylor and Wheeler. At first, they convincingly suggest that the time dilation caused by the differences in radius from Earth clocks to the satelight clocks will cause the...
In the Acknowledgements of "Exploring Black Holes" by Taylor and Wheeler they mention that a solutions manual was created by G.P. Sastry and several students. Does anyone know whether it is possible to get a hold of this solutions manual for us self learners. It would be a great help...
The best guess I have is that acceleration only matters in that it is necessary in order for Bob to change inertial frames. The actual period in acceleration can be made arbitrarily small and does not factor into the actual time calculation. My original concern was that since we were making...
The proper time of a photon which always has a lightlike wordline is zero, correct? Does this mean from the perspective of light (which doesn't have any conscience to have a perspective) that it travels instantaneously in zero time. So while we see light from Alpha Centari and can watch it...
Okay, so even though we made this acceleration instintaneous, it is still the determing factor. It is not a question of relative motion but whoever actually experiences a force to change the relative motion between them, this one will be younger