Nonrelativistic perihelion drift, best references ?

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The discussion centers on the search for authoritative references on the classical calculation of perihelion drift, particularly for Mercury, with an emphasis on precision compatible with General Relativity (GR) corrections. The user seeks clear and concise presentations of the analytical derivation starting from the equations of motion and detailing perturbation theory. They express frustration over the lack of accessible resources online that meet these criteria, specifically those derived from Newton's equations rather than simplified models.

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  • Understanding of classical mechanics and Newton's equations of motion
  • Familiarity with perturbation theory in celestial mechanics
  • Knowledge of General Relativity and its implications on planetary motion
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  • Research "Classical mechanics and perihelion drift calculations" for foundational knowledge
  • Study "Perturbation theory in celestial mechanics" to understand its application in orbital dynamics
  • Look for papers on "Analytical derivation of perihelion drift" that include detailed mathematical models
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Astronomers, physicists, and students of celestial mechanics seeking to deepen their understanding of perihelion drift and its classical calculations, particularly in relation to General Relativity.

lalbatros
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Hello,

I have found several overviews on the classical perihelion drift calculation from the planets perturbations.
However, I could not identify what the best reference would be.

I am -of course- interrested by those calculations that garantee a precision compatible with the discussion of the GR corrections.
I would also prefer the clearest and most synthetic presentation.
Finally, it would be nice if this paper would be available on the net. :rolleyes:

Thanks
 
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I am still interrested in a reference on the classical calculation of the perihelion drift of mercury.
I took quite some time to Google for that and could not find what I am looking for.
Very surprising.

I would just like to see the detailled analytical derivation for the perihelion drift.
Starting from the equations of motion, detailling a perturbation theory and providing the end result.

I found several references modeling the perturbing planets orbits by massive circles or ellips.
But the model is never derived from the Newton's equation.
Should I see how to do that, I would be happy enough.
 

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