Can we calculate the speed and time period of Earth's revolution around the Sun using general relativity?

From General relativity we know that the sun's mass causes the spacetime to dip, so can we theoretically calculate the exact the time period and speed of earth's revolution around the sun using a mathematical model of curved spacetime and known masses of earth and sun?

• Related question for Mercury: physics.stackexchange.com/q/814/2451 , physics.stackexchange.com/q/26408/2451 and links therein. – Qmechanic Apr 17 '18 at 17:48
• This idea isn't very practical because the solar system isn't a 2 body system, so the Newtonian perturbations caused by various other bodies in the system (notably the Moon, Venus, and Jupiter) are larger than the relativistic corrections. So to do this properly, you need to include those bodies. – PM 2Ring Apr 17 '18 at 18:12
• Are you asking whether GR has a nonrelativistic limit that is the same as Newtonian gravity (yes), whether the calculation is easy (not too hard), how the calculation is done, or whether the resulting calculation is exact? – user4552 Apr 17 '18 at 21:31
• I wanted to know how the calculation is done and how accurate it is? – cat's eye Apr 19 '18 at 19:44