Timeline for How does one interpret the relative motion of an object in orbit as it compares to to the object it is orbiting?
Current License: CC BY-SA 4.0
7 events
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| Sep 20, 2023 at 20:36 | comment | added | Dale | @Spencer there isn’t a unique answer. That is why I mentioned the non-inertial frame | |
| Sep 20, 2023 at 20:27 | comment | added | Spencer | Are you unable to answer which value of "v" should be used as described above? Or does Bob "realize" he is moving and therefore calculates his own time as slower relative to Alice (plus or minus the gravitational effects)? | |
| Sep 19, 2023 at 1:26 | comment | added | Dale | @Spencer the linked answer was clearly talking about local frames. This is what I referenced with “(except as a local approximation)”. Inertial frames are only local in curved spacetime, and the Bob-Alice scale is large enough to be non-local. | |
| Sep 18, 2023 at 23:06 | comment | added | Spencer | "The fact that there are inertial frames is essentially an axiom of general relativity. The theory is based on the idea that spacetime has a certain geometric structure, which allows for the existence of geodesics, along which free particles travel." | |
| Sep 18, 2023 at 23:05 | comment | added | Spencer | I want to clarify your answer as well. You say both Bob and Alice are moving inertially however they are not in inertial frames of reference. Is it possible to be moving inertially but not be in an inertial frame of reference, and could you please refer to a source? "The fact that there are inertial frames is essentially an axiom of general relativity. The theory is based on the idea that spacetime has a certain geometric structure, which allows for the existence of geodesics, along which free particles travel." | |
| Sep 18, 2023 at 22:49 | comment | added | Spencer | Please see the edit above and add to your answer, what V should Alice use when formally calculating Bob's rate of time, and what V should Bob use for Alice when formally calculating Alice's rate of time? I cannot extrapolate this from your answer. (Since Alice has inferred Bob's speed to be 100mph based on: 1.) Alice can tell the distance to Bob. 2.) Alice can verify she is not rotating, and at what speed she would need to be rotating to keep facing Bob. ... Then can Bob also calculate Alice's velocity to be 100mph, 0mph, or some other answer in the above formula? ) | |
| Sep 18, 2023 at 18:54 | history | answered | Dale | CC BY-SA 4.0 |