Trajectories of a mechanical system extremize the action S = ∫L dt, with L = T − V. Yields the Euler-Lagrange equations.
Lagrangian mechanics (principle of stationary action)
Related concepts
- Newton's second law (F=ma)
- Real numbers (ℝ)
- Conservation of energy
- Ergodic hypothesis
- Ordinary differential equation (ODE)
- Mean value theorem
- Hamiltonian mechanics
- Noether's theorem
- Small oscillations (normal modes)
- Feynman path integral
- Action principle (field theory)
- Hamiltonian mechanics
- Hamiltonian mechanics
- d'Alembert's principle
- Routhian reduction
- Variational calculus