2023-05-16 07:24:00 UTC
effect where the finite speed of light causes an orbiting body to see
the opposite body on its past light cone, and thus displaced from its
"now" position directly opposite the center of gravity. The problem is
that if the body it attracted directly towards this displaced position,
there is a torque on the system that would cause it to speed up.
This clearly does not happen. A quick calculation for the earth-sun
system shows that the angular momentum would double in about 800 years,
which clearly has not been happening.
My question for this group is why not? I'm not equipped to calculate GR
results for this problem, but I have calculated for electromagnetic
attraction, such as for positronium (an electron and positron in mutual
orbit). Even including magnetic effects does not displace the direction
of attraction towards the center of gravity. Likewise the Lorentz
transform and relativistic doppler shift and "search light" effect also
do not solve the issue, and if anything make it worse.
I've been considering the possibility that each object is attracted to
images of the other object on both the past and future light cones, but
this has the issue that oscillating motion of the future image should
radiate signals to the object in the past, like a radio transmitter,
which also clearly does not happen.
Does anyone here know of any papers treating this? I've been searching
on scholar.google.com, arxiv.com and the APS journal web site, but so
far I haven't found anything that addresses this issue.