I think the problem might have been my inadequate description, Jostpuur; I guess I should be more specific! We essentially have some tracking data of a particle's position over time in 2-d (actually, of a couple of objects) and I I'd like to transform it to a Lagrangian/Hamiltonian format. I'm...
Thanks so much for your reply, jostpuur... I really appreciate it! I hope you'll excuse my ignorance about some of this but couldn't I use the trajectory, x(t), and compute the \dot{x}(t) from that and put that into the Lagrangian to get the phase space trajectory?
I was very intrigued by...
I'm a PhD student (not in physics) working on a research problem where I need to use the Lagrangian/Hamiltonian approach for a problem. Suppose I have a particle/object that I can track the location/trajectory of; is it possible for me to derive or enumerate Hamilton's equations for that...