The proper time $d\tau$ and coordinate time $dt$ are connected by $$\gamma d \tau=dt$$
where
$$\gamma=\frac{1}{\sqrt{1-\frac {{v}^2} {{c}^2}}}$$
This is, for example, the reasons that muons can travel much farther through our atmosphere than expected because their proper time increases.
Now if we fill in for $v$ in $\gamma$ the velocity of the earth around the sun, will this give the same result as predicted by the general theory of relativity, which is to say, will the increased time be the same as GR predicts for points at the same distance as the earth is orbiting the sun (assuming the earth orbit is circular?
