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Lagrangian mechanics

In physics, Lagrangian mechanics is an alternate formulation of classical mechanics founded on the d'Alembert principle of virtual work. It was introduced by the Italian-French mathematician and astronomer Joseph-Louis Lagrange in his presentation to the Turin Academy of Science in 1760 culminating in his 1788 grand opus, Mécanique analytique. Lagrange's…

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Overview

Introduction

Equations of motion

From Newtonian to Lagrangian mechanics

Properties of the Lagrangian

Examples

Extensions to include non-conservative forces

Other contexts and formulations

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Map overview Semantic statistics

Lagrangian mechanics

Nodes171
Edges170
Triples51
Avg. degree1.99
Density0.011696
Components1

How this topic connects Entity context

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Lagrangian mechanics

Top relations

related to Extensions · 14
Lagrangian mechanics → And, As, At, For, If, Lagrangian, Lorentz, Newtonian, Nonholonomic, One, Rayleigh, The, Three, Where
related to Lagrangian · 9
Lagrangian mechanics → Any, Each, Instead, It, Kinetic, Lagrangian, Overall, T-V, The
related to Introduction · 7
Lagrangian mechanics → For, Lagrange's, Lagrangian, Newton's, Particularly, There, This
related to Classical field theory · 6
Lagrangian mechanics → Analogous, Associated, In, In Lagrangian, Lagrangian, The Lagrangian
related to Relativistic formulation · 5
Lagrangian mechanics → Also, EL, In, Lagrangian, Some
see also · 4
Lagrangian mechanics → Astronomy, Canonical, Eulerian, Lagrangian
is a · 2
Lagrangian mechanics → alternate formulation of classical mechanics founded on the d'Alembert principle of virtual work, Lagrangian
related to Optics · 2
Lagrangian mechanics → EL, Lagrangian
related to Other contexts and formulations · 2
Lagrangian mechanics → Lagrangian, The

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Important terminology

displaystyle lagrangian coordinates dot equations frac system mathbf partial time sum motion energy particle generalized constraint forces mechanics potential force

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Lagrangian mechanicsis aalternate formulation of classical mechanics founded on the d'Alembert principle of virtual work0.90text
Lagrangian mechanicsis aLagrangian0.90text
Lagrangian mechanicsrelated to Classical field theoryIn Lagrangian0.60section
Lagrangian mechanicsrelated to Classical field theoryIn0.60section
Lagrangian mechanicsrelated to Classical field theoryAssociated0.60section
Lagrangian mechanicsrelated to Classical field theoryLagrangian0.60section
Lagrangian mechanicsrelated to Classical field theoryAnalogous0.60section
Lagrangian mechanicsrelated to Classical field theoryThe Lagrangian0.60section
Lagrangian mechanicsrelated to ExtensionsAs0.60section
Lagrangian mechanicsrelated to ExtensionsFor0.60section
Lagrangian mechanicsrelated to ExtensionsLagrangian0.60section
Lagrangian mechanicsrelated to ExtensionsLorentz0.60section

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