Nonrelativistic perihelion drift, best references ?

[lalbatros]

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.

Thanks

 

[lalbatros]

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.

 

[tacman]

for your question. There are several references that are commonly cited as the best for nonrelativistic perihelion drift calculations. Some of the most reputable and widely used references include:

1. "The Motion of Mercury's Perihelion" by Albert Einstein (1915)
This is considered one of the seminal papers on the topic, as it was the first to introduce the concept of general relativity and its effects on the perihelion drift of Mercury. It is a bit technical, but is widely available online and in many physics textbooks.

2. "Theoretical Astrophysics: Volume 2, Stars and Stellar Systems" by T. Padmanabhan (2001)
This textbook has a comprehensive chapter on the classical calculation of perihelion drift, as well as a discussion on the corrections from general relativity. It is very clear and concise, and covers the topic in a thorough but accessible manner.

3. "Gravity: An Introduction to Einstein's General Relativity" by James B. Hartle (2003)
This textbook also has a chapter dedicated to the perihelion drift of Mercury and the effects of general relativity. It is written in a more conversational style and is very approachable for those without a strong background in physics.

4. "Celestial Mechanics and Dynamical Astronomy" by John Murray (2010)
This is another comprehensive textbook that covers the classical and relativistic calculations of perihelion drift. It is widely used in university courses and is available online.

I hope these references are helpful to you in your research on nonrelativistic perihelion drift. Happy reading!