Symplectic geometry is a branch of differential geometry and differential topology that studies symplectic manifolds; that is, differentiable manifolds equipped with a closed, nondegenerate 2-form. Symplectic geometry has its origins in the Hamiltonian formulation of classical mechanics where the phase space of certain classical systems takes on the structure of a symplectic manifold.
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...
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...
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...