About the time partial derivative in Lagrangian

[RequieMa]

Hi @gcarcassi,

I am impressed by your goal and this on-going work. I'd like to help.

I just begin to read the latest draft and get a bit confused here.

Previously, you stated the Lagrangian to be L(x, v, t), in its most general form. Then shouldn't the Euler-Lagrange equations apply this general form of L? If that is the case, then shouldn't the first line here plus a partial derivative w.r.t time as well?

[gcarcassi]

I think you are right: we should add the partial derivative of parial_v L in time. The result remains the same. I don't see any other derivative in time needed for the rest of the section, so that should be the only change?

[RequieMa]

I only read to this part. I will continue read it to see if there are other parts to change. Are you going to change it, or should I make a pull request?

[RequieMa]

Same for Hamiltonian

[gcarcassi]

I think it's easier for me to just make the change. Right now I am on travel, so I'll probably do it next week.

[gcarcassi]

Modified the equations to: and