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Jun 2, 2023 at 22:54 comment added FlatterMann @R.Romero The semi-major axis of a single planet does not show any precession in Newtonian mechanics. In general relativity it is just one of many effects, another one of which is the emission of gravitational waves which lead to an instability of the system. That's why we are observing black hole mergers. That kind of thing does, of course, not exist in quantum mechanics.
Jun 2, 2023 at 17:24 comment added naturallyInconsistent You are getting the correct idea, but in the case of the planets the conservation laws make it such that the orbital plane will not be affected unless some other thing disturbs things. In the ideal classical two-body system, it will not do this sweeping out, but in quantum, it is thought that it will do so.
Jun 2, 2023 at 17:19 comment added R. Romero I think I follow you. The actual trajectory of planet isn't simply an ellipse, but an ellipse whose semi-major axis essentially sweeps out through 360 degrees over time so the classical case IS spherically symmetric over time. Does that sweeping out happen in a two body system?
Jun 2, 2023 at 0:34 history answered naturallyInconsistent CC BY-SA 4.0