I am trying to understand time dilation w.r.t velocity. Its said that when a satellite travels around earth (at speed more than a synchronized clock on earth which is stationary w.r.t earth), it experiences time slower in comparison to a clock on earth.
first of all, if you say, the time slows down with increase in velocity, that velocity is in reference to what?? how can you say that the satellite experiences time slower and not otherwise, because from each one's perspective the other is moving and itself is at rest.
consider this... mind the revolution of earth around the sun.. (the frame reference here is sun). now, a rocket goes in outer space for one year such that, wrt sun it is stationary and the earth is actually moving. after one year, as earth comes at the same place again... the rocket meets earth surface... now here its the earth who was moving, so will the astronaut in rocket age more or less than its companions on earth?
another question I had was regarding the velocity. Earth revolves around sun at a particular velocity, sun again revolves around the center of galaxy. and the galaxy is also not stationary.. so when you say nothing can exceed speed of light, how can you know earth is not actually revolving at some speed greater than light....and what is the reference when you calculate speed for anything?
I am sorry i couldn't articulate better. can someone help me with these doubts?