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Classical Lagrangian and Hamiltonian Celestial Mechanics

  1. Oct 12, 2016 #1
    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?

  2. jcsd
  3. Oct 13, 2016 #2


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    Or perhaps focus on the subject at hand: H. Goldstein Classical Mechanics
  4. Oct 13, 2016 #3
    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.
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