systems by Brading and Castellani. Extension to coordinate systems using generalized coordinates underlies the Hamiltonian and Lagrangian formulations of quantum field theory, classical relativistic mechanics, and quantum gravity. Instances International Terrestrial Reference Frame International Celestial Reference Frame In fluid mechanics, Lagrangian and Eulerian specification of the flow field Other frames Frame fields in general relativity Moving frame in mathematics See also Analytical mechanics Applied mechanics Cartesian coordinate system Center-of-momentum frame Centrifugal force Centripetal force Classical mechanics Coriolis force Curvilinear coordinates Datum reference Dynamics (physics) Frenet–Serret formulas Galilean invariance General relativity Generalized coordinates Generalized forces Geodetic reference frame Inertial frame of reference Local coordinates Material frame-indifference Rod and frame test Kinematics Laboratory frame of reference Lorentz transformation Mach's principle Orthogonal coordinates Principle of relativity Quantum reference frame Notes References