70-XX	Mechanics of particles and systems {For relativistic mechanics, see 83A05 and 83C10; for statistical mechanics, see 82-XX}
70-00	General reference works (handbooks, dictionaries, bibliographies, etc.)
70-01	Instructional exposition (textbooks, tutorial papers, etc.)
70-02	Research exposition (monographs, survey articles)
70-03	Historical {!must also be assigned at least one classification number from section 01}
70-04	Explicit machine computation and programs (not the theory of computation or programming)
70-05	Experimental work
70-06	Proceedings, conferences, collections, etc.
70-08	Computational methods
70A05	Axiomatics, foundations
70Bxx	Kinematics [See also 53A17]
70B05	Kinematics of a particle
70B10	Kinematics of a rigid body
70B15	Mechanisms, robots [See also 68T40, 70Q05, 93C85]
70B99	None of the above, but in this section
70C20	Statics
70Exx	Dynamics of a rigid body and of multibody systems
70E05	Motion of the gyroscope
70E15	Free motion of a rigid body [See also 70M20]
70E17	Motion of a rigid body with a fixed point
70E18	Motion of a rigid body in contact with a solid surface [See also 70F25]
70E20	Perturbation methods for rigid body dynamics
70E40	Integrable cases of motion
70E45	Higher-dimensional generalizations
70E50	Stability problems
70E55	Dynamics of multibody systems
70E60	Robot dynamics and control [See also 68T40, 70Q05, 93C85]
70E99	None of the above, but in this section
70Fxx	Dynamics of a system of particles, including celestial mechanics
70F05	Two-body problems
70F07	Three-body problems
70F10	n-body problems
70F15	Celestial mechanics
70F16	Collisions in celestial mechanics, regularization
70F17	Inverse problems
70F20	Holonomic systems
70F25	Nonholonomic systems
70F35	Collision of rigid or pseudo-rigid bodies
70F40	Problems with friction
70F45	Infinite particle systems
70F99	None of the above, but in this section
70Gxx	General models, approaches, and methods [See also 37-XX]
70G10	Generalized coordinates; event, impulse-energy, configuration, state, or phase space
70G40	Topological and differential-topological methods
70G45	Differential-geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) [See also 53Cxx, 53Dxx, 58Axx]
70G55	Algebraic geometry methods
70G60	Dynamical systems methods
70G62	Symmetries, Lie-group and Lie-algebra methods
70G65	Functional-analytic methods
70G70	Variational methods
70G99	None of the above, but in this section
70Hxx	Hamiltonian and Lagrangian mechanics [See also 37Jxx]
70H03	Lagrange's equations
70H05	Hamilton's equations
70H06	Completely integrable systems and methods of integration
70H07	Nonintegrable systems
70H08	Nearly integrable Hamiltonian systems, KAM theory
70H09	Perturbation theories
70H11	Adiabatic invariants
70H12	Periodic and almost periodic solutions
70H14	Stability problems
70H15	Canonical and symplectic transformations
70H20	Hamilton - Jacobi equations
70H25	Hamilton's principle
70H30	Other variational principles
70H33	Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction
70H40	Relativistic dynamics
70H45	Constrained dynamics, Dirac's theory of constraints [See also 70F20, 70F25, 70Gxx]
70H50	Higher-order theories
70H99	None of the above, but in this section
70Jxx	Linear vibration theory
70J10	Modal analysis
70J25	Stability
70J30	Free motions
70J35	Forced motions
70J40	Parametric resonances
70J50	Systems arising from the discretization of structural vibrations problems
70J99	None of the above, but in this section
70Kxx	Nonlinear dynamics [See also 34Cxx, 37-XX]
70K05	Phase plane analysis, limit cycles
70K20	Stability
70K25	Free motions
70K28	Parametric resonances
70K30	Nonlinear resonances
70K40	Forced motions
70K42	Equilibria and periodic trajectories
70K43	Quasi-periodic motions and invariant tori
70K44	Homoclinic and heteroclinic trajectories
70K45	Normal forms
70K50	Bifurcations and instability
70K55	Transition to stochasticity (chaotic behavior) [See also 37D50]
70K60	General perturbation schemes
70K65	Averaging of perturbations
70K70	Systems with slow and fast motions
70K75	Nonlinear modes
70K99	None of the above, but in this section
70L05	Random vibrations [See also 74H50]
70M20	Orbital mechanics
70P05	Variable mass, rockets
70Q05	Control of mechanical systems [See also 49-XX, 93Cxx, 93Dxx]
70Sxx	Classical field theories [See also 37Kxx, 37Lxx, 78-XX, 81Txx, 83-XX]
70S05	Lagrangian formalism and Hamiltonian formalism
70S10	Symmetries and conservation laws
70S15	Yang - Mills and other gauge theories
70S20	More general nonquantum field theories
70S99	None of the above, but in this section