Classical Lagrangian and Hamiltonian Celestial Mechanics

[Pheetuz]

Hi folks,

I am looking to learn the Lagrangian and Hamiltonian approach to celestial mechanics - I have previous experience in Newtonian numerical solutions for orbital motion but am looking to achieve similar things but through the use of Hamiltonian formulations.
After having a poke around this site I have found a few people recommending "Classical Dynamics of particles and systems" as an introductory text to the Lagrangian and the Hamiltonian - is this a good reference for me to use, given the intended application?

Cheers!

 

[BvU]

Or perhaps focus on the subject at hand: H. Goldstein Classical Mechanics

 

[mpresic]

I think that textbook by Marion, to Marion and Thornton that you mentioned is good for that. Goldstein is good but it is more advanced. I think a good reading of Classical Mechanics of Particles and Systems contains more examples than Goldstein and I would read that first. This is coming from a Goldstein fan who read every section and did most problems in the third edition. I also think the Shaums outline series for Lagrangian Mechanics or Theoretical Mechanics provides many examples to learn from. I think reading Goldstein too early runs the risk of learning (or possibly frustration and not learning) many results of advanced mechanics, and being unable to do commonly encountered problems at a lower sophistication.