These types of occurrences were explained well before Einstein... using the differential equations associated with Newtonian dynamics. I just happen to be reading Celestial Encounters by Florin Diacu and Philip Holmes....
Originally Posted by DyerWolf
I haven't finished the book and don't know if relativistic considerations ever come into play, but most of the history of this problem is strictly newtonian. Adding GR would certainly complicate matters, but would be necessary for improved accuracy in extreme gravitational environments.
Starting with the story of Poincaré's work, Florin Diacu and Philip Holmes trace the history of attempts to solve the problems of celestial mechanics first posed in Isaac Newton's Principia in 1686. In describing how mathematical rigor was brought to bear on one of our oldest fascinations--the motions of the heavens--they introduce the people whose ideas led to the flourishing field now called nonlinear dynamics.
When not in such extreme environments, the GR adjustment is very slight. For example, the effect on Mercury's orbit amounts to ~43 arsseconds per century. That's pretty slight.
Everyone is entitled to his own opinion, but not his own facts.