Lagrangian Mechanics

Reformulation of classical mechanics built on the Lagrangian L = T − V and stationary action, simplifying constrained systems.

Specifications & Metrics

symbol

d/dt(∂L/∂q̇) = ∂L/∂q

Core Principles & Analysis

• It was introduced by Joseph-Louis Lagrange in his presentation to the Turin Academy of Science in 1760.
• The formulation culminated in his 1788 grand opus Mécanique analytique.
• The non-relativistic Lagrangian for a system of particles is L = T − V, kinetic minus potential energy.

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Sources

• Wikipedia: Lagrangian mechanics