Textbooks of celestial mechanics

[Santiago24]

Hi I'm reading classical mechanics by Taylor and there is a section about Kepler orbits that i find very interesting so i'd like to see more of classical mechanics with space applications. I appreciate rigouros mathematical books, thanks

 

[ergospherical]

Are you sure you're after mathematical rigour? Abraham and Marsden's book Foundations of Mechanics contains a ridiculously abstract and mathematically-sophisticated exposition of celestial mechanics but it won't teach you much physics, or indeed how to solve many practical problems (!).

 

[andresB]

Well, mathematical rigor and mathematical sophistication are not the same things.

In any case, I'm also interested in introductory textbooks for Celestial mechanics. I'm under the impression that any serious study of celestial mechanics requires a lot of knowledge of the Hamiltonian formalism and Hamiltonian perturbation theories (but that comes from reading books on analytical mechanics). The few books I know on celestial mechanics are quite hard and somewhat old.

 

[Santiago24]

Are you sure you're after mathematical rigour? Abraham and Marsden's book Foundations of Mechanics contains a ridiculously abstract and mathematically-sophisticated exposition of celestial mechanics but it won't teach you much physics, or indeed how to solve many practical problems (!).

I want to see the mathematical derivation of things like why orbits around the sun are elliptical in Taylor book, thanks for the recommendations!