Geodesics.
That's the answer. If you are too stupid to realize it, well, just keep on doing what you are doing, as we are all having a big laugh at your expense, TomG.
To TheEngineer, Sorry, but no. There is no FoR shift that can explain how two people standing on opposite sides of the Earth are attracted to the Earth at the same time. You can't produce it. You have failed. Your claim that "gravity as a force does not exist" is demonstratively refuted.
To CommonCents, give it some thought. The accelerations are going in opposite directions so a FoR shift can only translated one, but not both, into the GR's fictitious force paradigm. Really, honestly, and truly, TheEngineer is mistaken and you're bright enough to see it.
To divito, read my quotes too. It really is the case that GR, all too often, gets overly simplified. At first when you consider simpler cases, yes you can treat gravity as a fictitious force. However, this FoR shift cannot describe more complicated cases. Yes, we can often treat gravity as fictitious force, but not always. It's an exaggeration to say "gravity as a force does not exist". Einstein didn't say it. Indeed I've already posted where he says it can't always be done. (Let me know if you need a pointer to that post.)