Now I really don't understand what you are talking about. Are you talking about figure 1? There are no mirrors/reflectors there (nor in any other figures). Are you describing tower 1 as the emitter, the satellite as the reflector, and tower 2 as the detector? What do you mean by "straight"? Particularly when you are describing geometry in the rotating frame where light does not travel along paths that can be described by x=mt+b. Finally, the satellite is in a geosynchronous orbit so the satellite's rest frame is also a rest frame for the towers, so you cannot possibly have different results in the satellite's and tower's rest frames since they are the same! Please describe in complete detail the experiment you are proposing, the measurement you are analyzing, and the paradox you think you obtain. By "complete detail" I mean as though you were writing a problem for a textbook. Otherwise there is no paradox, just an incomplete description. -Dale
Any object has an infinite number of rest frames. A rest frame is just a frame where the time derivative of the object's position is 0. In any frame where the time derivitave of the position of a geosynchronous satellite is 0 the time derivative of the position of a tower is also 0. Therefore, not only does the detector have a rest frame, but any rest frame of the satellite is also a rest frame of the detector. -Dale
