Hi,(adsbygoogle = window.adsbygoogle || []).push({});

I have this hamiltonian

[tex] 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})[/tex]

(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 first order equations, but I can't find it on the internet.

moreover it seems difficult and I don't understand enough what is a symplectic algorithm to code do it by myself..

thx a lot.

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Symplectic algorithm

**Physics Forums | Science Articles, Homework Help, Discussion**