Quote:
Originally Posted by Ivan
Does relativity effect the calculations? I feel it would be insignificant. Have I made some gross assumptions? Are the calculations correct? Appreciate your comments.
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Relativity effects
would be significant.
In order to sync the two clocks in this situation you must account for both General & Special Relativity. Time correction calcs must be done for the clock (pulse) information.
Because the satelite at L4
needed to be accelerated to get there, Special Relativity states that IT'S clock must have
slowed down (relative to control clock on Earth) during that acceleration.
Because the satelite at L4 is
now spatially located in a different (lesser)gravitational-well from where is started from (Earth), General Relativity states that IT'S clock must
speed up (relative to control clock on Earth).
I'm unsure if your experiment would work and will give it some thought.
But, Both Special & General Relativity corrections must be applied.