I am dealing with a completely fabricated scenarios (while trying to write a sci-fi book), so my thougts are completely hyphotetical. But I would like to ask you to help me find out if following experiment was ever executed:
Atomic clock A is paced in the line of Earths orbit but instead of orbiting Sun the clock is static in the space and does not orbit Sun. But it keeps the same distance from Sun as Earth had when the clock A was released. Clock B is placed on Earth. Clock A and B start at the same time (when clock A is realeased from Earth). After one year when Earth is pasing the clock A again the clock A is colected and the time compared.
I think that some difference can be caused by missig mass of planet Earth. If I made right assumption - it can somewhere like clock A has 5-10 seconds + compared to clock B...can someone please confirm that at least magnitude is right? That is in mater of few seconds...
Or will the clock show the same time?
And if there was experiment, and there was a difference, how much it was? Was it exactly how much the mathematic explains as missing mass of our planet?