|
gptkbp:instanceOf
|
gptkb:algebra
mathematical formulation
|
|
gptkbp:appliesTo
|
conservative systems
mechanical systems
constrained systems
holonomic systems
nonconservative systems
nonholonomic systems
unconstrained systems
|
|
gptkbp:basisFor
|
gptkb:Euler–Lagrange_equation
gptkb:Hamiltonian_mechanics
gptkb:Noether's_theorem
Lagrangian formalism
|
|
gptkbp:category
|
partial differential equations
second-order equations
|
|
gptkbp:expressedIn
|
d/dt (∂L/∂q̇_i) - ∂L/∂q_i = 0
|
|
gptkbp:field
|
gptkb:classical_mechanics
|
|
gptkbp:firstPublished
|
1788
|
|
gptkbp:form
|
gptkb:Lagrange's_equations_of_the_first_kind
gptkb:Lagrange's_equations_of_the_second_kind
|
|
gptkbp:formedBy
|
gptkb:Lagrangian_mechanics
|
|
gptkbp:generalizes
|
gptkb:d'Alembert's_principle
|
|
https://www.w3.org/2000/01/rdf-schema#label
|
Lagrange's equations
|
|
gptkbp:language
|
gptkb:mathematics
physics
|
|
gptkbp:namedAfter
|
gptkb:Joseph-Louis_Lagrange
|
|
gptkbp:publishedIn
|
gptkb:Mécanique_analytique
|
|
gptkbp:relatedTo
|
gptkb:Newton's_laws_of_motion
gptkb:Hamilton's_equations
variational principles
principle of least action
|
|
gptkbp:requires
|
kinetic energy
potential energy
Lagrangian function
|
|
gptkbp:seeAlso
|
gptkb:Euler–Lagrange_equation
gptkb:Hamiltonian_mechanics
gptkb:Lagrangian_mechanics
|
|
gptkbp:usedFor
|
deriving equations of motion
|
|
gptkbp:usedIn
|
gptkb:classical_mechanics
gptkb:theoretical_physics
astrophysics
control theory
engineering
quantum mechanics
robotics
|
|
gptkbp:variant
|
gptkb:lion
generalized coordinates
generalized velocities
|
|
gptkbp:bfsParent
|
gptkb:Joseph-Louis_Lagrange
gptkb:Joseph_Louis_Lagrange
|
|
gptkbp:bfsLayer
|
5
|