Symplectic Definition and 53 Threads

  1. H

    Symplectic Algorithm for Non-Separable Hamiltonian

    Hi, I have this hamiltonian K = \frac{1}{2}(P_1^2 + P_2^2) + P_1 Q_2 - P_2 Q_1 - (\frac{1-\mu}{R_1}+\frac{\mu}{R_2}) (see this link if there is any latex problem) with non separable variables. I am looking for a symplectic algorithm (runge kutta would be good) to solve the correspondant...
  2. H

    Symplectic runge kutta for hamiltonian system

    Hi ! I'm trying to solve the restricted problem of three bodies, where a negligeable mass particule is moving in the gravitationnal field of two heavy objects which are in circular orbit around their common center of mass. this is a plane problem... I describe the mouvment in the mobile...
  3. A

    What is Symplectic? Explaining the Group Theory Basics

    What is "symplectic"? I was interested in learning the meaning of this word as I saw it used in Goldstein. Looking in the web it appears this word has to do with a "symplectic group". I don't know much about group theory, but I was wondering if someone could give an explanation "for the...
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