Recent content by gibsonphysics

Here is a quotation that I found on Wolfram website: "A first integral associated with the independent variable t exist if f is independent of t and does not contain any second or higher derivatives of the coordinates." Since we have a=f(q,u,t) as a firt integral, it will not have a...

Also, a=f(q,u,t) is a constant of motion. Is there any restriction about second order derivatives for q or u or (p) for a constant of motion?

Here I have a translation from French to English of the original paper by Poisson about his brackets. I cannot understand why the function a=f(q,u,t) doesn't have a second order derivative (in q or u). The problem is on the top of the third page (second .JPG) after he took the time derivative...