lagrangian and hamiltonian dynamics
Arvid Emmerich
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grangian At the heart of this formulation lies the Lagrangian function (L), defined as: \[ L(q_i, \dot{q}_i, t) = T(q_i, \dot{q}_i) - V(q_i) \] where: \( q_i \) are the generalized coordinates describing the system's configuration. \( \dot{q}_i \) are the generalized velocities. \( T \) is t