Langrangian in non-inertial frames?

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In non-inertial frames, the Lagrangian formulation can still be applied, but it requires the introduction of pseudo forces to account for the acceleration of the reference frame. The standard rules of Lagrangian mechanics are modified to include these additional forces, which help in transitioning to an inertial frame. Understanding the treatment of these pseudo forces is crucial for accurate calculations in non-inertial systems. The linked document provides further insights into this topic. Properly applying these concepts allows for effective analysis of dynamics in non-inertial frames.
HomogenousCow
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I'm not entirely sure how to treat non inertial frames in the lagrangian formulation, do the normal rules still apply?
 
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Thanks, this might clear some things up
 

Thread 'Derivation of Hamilton's Principle: Questions'

I have recently been really interested in the derivation of Hamiltons Principle. On my research I found that with the term ##m \cdot \frac{d}{dt} (\frac{dr}{dt} \cdot \delta r) = 0## (1) one may derivate ##\delta \int (T - V) dt = 0## (2). The derivation itself I understood quiet good, but what I don't understand is where the equation (1) came from, because in my research it was just given and not derived from anywhere. Does anybody know where (1) comes from or why from it the...
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