Role of general relativity and quantum mechanics in dynamics of Solar System

TL;DR

This paper explores how general relativity and quantum mechanics influence the dynamics and arrangement of objects in the Solar System, proposing a quantum celestial mechanics model inspired by atomic physics to explain observed orbital patterns.

Contribution

It introduces a quantum celestial mechanics framework extending Einstein's approach, explaining the orbital arrangements and stable patterns of planets and satellites in the Solar System.

Findings

Planets and satellites follow geodesic motion consistent with general relativity.

Quantum mechanics explains the stable orbital planes and directions, including irregular satellites.

The model reproduces the observed filling patterns similar to atomic structures.

Abstract

Let m(i) be the mass of i-th planet and M be the Solar mass. From astronomical data it is known that ratios r(i)=m(i)/(m(i)+M) are of order 10^(-3)-10^(-6) for all planets. The same is true for all satellites of heavy planets. These results suggest that Einstein's treatment of Mercury dynamics can be extended to almost any object in the Solar System. This fact does not explain the existing order in the Solar System. Indeed, all planets lie in the same (Sun's equatorial) plane and move in the same direction coinciding with that for the rotating Sun.The same is true for regular satellites of heavy planets and for planetary rings associated with these satellites.In addition to regular satellites, there are irregular satellites (and at least one irregular (Saturn) ring associated with such a satellite (Phoebe)) grouped in respective planes (other than equatorial) in which they all move in "wrong" directions on stable orbits. These are located strictly outside of those for regular satellites. This filling pattern is reminiscent to that in atomic mechanics. Based on the original Heisenberg's ideas, we develop quantum celestial mechanics explaining this filling pattern and that for rings of heavy planets. The formalism takes essentially into account that planets and satellites are moving on geodesics.