Analytical mechanics

GPTKB entity

Statements (51)
Predicate Object
gptkbp:instanceOf branch of physics
gptkbp:appliesTo conservative systems
non-conservative systems
gptkbp:contrastsWith gptkb:Newtonian_mechanics
gptkbp:developedBy gptkb:Joseph-Louis_Lagrange
gptkb:William_Rowan_Hamilton
gptkbp:field gptkb:classical_mechanics
gptkbp:hasConcept gptkb:Hamilton's_principle
gptkb:Lagrange_multipliers
gptkb:phase_space
gptkb:Hamilton-Jacobi_equation
gptkb:Routhian_mechanics
gptkb:D'Alembert's_principle
gptkb:Jacobi's_formulation
gptkb:Legendre_transformation
action principle
conservation laws
symmetries
symplectic geometry
canonical coordinates
Poisson bracket
action-angle variables
canonical transformation
virtual work
degrees of freedom
constraints
configuration space
generalized momenta
holonomic constraints
non-holonomic constraints
cyclic coordinates
first integrals
generalized forces
integrals of motion
https://www.w3.org/2000/01/rdf-schema#label Analytical mechanics
gptkbp:includes gptkb:Hamiltonian_mechanics
gptkb:Lagrangian_mechanics
gptkbp:originatedIn 18th century
gptkbp:relatedTo gptkb:Noether's_theorem
gptkbp:studies motion of bodies
gptkbp:usedIn gptkb:astronomy
gptkb:theoretical_physics
engineering
quantum mechanics
gptkbp:uses gptkb:Euler-Lagrange_equations
gptkb:Hamilton's_equations
variational principles
generalized coordinates
mathematical methods
gptkbp:bfsParent gptkb:lion
gptkbp:bfsLayer 4