Analytical Classical Dynamics: An intermediate level course

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The discussion centers on a comprehensive set of lecture notes for an upper-division course in analytical classical dynamics, emphasizing analytical approaches to classical mechanics. Key topics include oscillations, Keplerian orbits, two-body scattering, and the dynamics of rigid bodies, alongside Lagrangian and Hamiltonian mechanics. The course aims to deepen understanding of complex dynamics through rigorous analytical methods. Participants express appreciation for the resource, highlighting its academic value. Overall, the notes serve as a significant educational tool for students studying classical dynamics.
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A complete set of lecture notes for an upper-division classical dynamics course. The course concentrates on those aspects of classical dynamics which can be studied analytically. Topics covered include oscillations, Keplerian orbits, two-body scattering, rotating frames of reference, rotation of rigid bodies in three dimensions, Lagrangian mechanics, Hamiltonian mechanics, and coupled oscillations.

http://farside.ph.utexas.edu/teaching/336k/lectures.pdf
by: Richard Fitzpatrick (University of Texas)
 
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AWESOME

Thanks bro!
 
Dear Greg
thanks for letting me read this book. Lagrange, Hamilton, Foucault, even Maccullough and Poincare
Read you
 

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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