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- How to model earth and sun (2 body orbits) using general relativity?

Modeling the time evolution of the sun and earth orbiting each other using ##F = \frac{GMm}{r^2}## is straightforward. However, it appears that modeling the time evolution of the same 2 body system using general relativity seems to be a hard/intractable problem?

There was in depth discussion by @bcrowell in https://www.physicsforums.com/threads/multibody-system-in-general-relativity.362949/ regarding multibody modeling using general relativity.

As with the OP in the linked thread, I am not so much interested in extreme conditions like relativistic speed, time dilation, or black holes. I would only like to model a simple 2 body problem with the sun and the earth orbiting each other using general relativity.

Any experience or reference to resources for doing this is much appreciated.

There was in depth discussion by @bcrowell in https://www.physicsforums.com/threads/multibody-system-in-general-relativity.362949/ regarding multibody modeling using general relativity.

As with the OP in the linked thread, I am not so much interested in extreme conditions like relativistic speed, time dilation, or black holes. I would only like to model a simple 2 body problem with the sun and the earth orbiting each other using general relativity.

Any experience or reference to resources for doing this is much appreciated.