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solved: http://physics.stackexchange.com/questions/119324/variation-of-action-with-coordinate-variations-classical-mechanics/119339?iemail=1&noredirect=1#119339 thanks!

Unfortunately the attachment does not treat coordinate variations.

The question is about the fundamentals of calculus of variations. I know how to derive the usual Euler-Lagrange equations without the extra variation in t \tilde{t}=t+\delta t . But I am having trouble incorporating this extra variation. if i define: \delta L = \frac{\partial L}{\partial...

Hello everyone! I was reading the following review: http://relativity.livingreviews.org/open?pubNo=lrr-2009-4&page=articlesu23.html And I got stuck at the first equation; (10.1) So how I understand this is that there are two variations, \tilde{q}(t)=q(t)+\delta q(t)...