Nonrelativistic perihelion drift, best references ?

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The discussion focuses on the search for high-quality references on the classical calculation of perihelion drift, particularly for Mercury, with an emphasis on precision compatible with General Relativity corrections. The user expresses frustration at the difficulty in finding clear and synthetic presentations of the analytical derivation starting from the equations of motion. They seek resources that detail perturbation theory and provide end results derived from Newton's equations. The user notes that existing references often model perturbing planetary orbits inadequately. Overall, the need for accessible, detailed academic resources on this topic is highlighted.
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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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