List of mathematical topics in classical mechanics

This is a list of mathematical topics in classical mechanics, by Wikipedia page. See also list of variational topics, correspondence principle.

Newtonian physics

 * Newton's laws of motion
 * Inertia,


 * Kinematics, rigid body
 * Momentum, kinetic energy
 * Parallelogram of force
 * Circular motion
 * Rotational speed
 * Angular speed
 * Angular momentum
 * torque
 * angular acceleration
 * moment of inertia
 * parallel axes rule
 * perpendicular axes rule
 * stretch rule
 * centripetal force, centrifugal force, Reactive centrifugal force
 * Laplace–Runge–Lenz vector
 * Euler's disk
 * elastic potential energy
 * Mechanical equilibrium
 * D'Alembert's principle
 * Degrees of freedom (physics and chemistry)
 * Frame of reference
 * Inertial frame of reference
 * Galilean transformation
 * Principle of relativity

Conservation laws

 * Conservation of momentum
 * Conservation of linear momentum
 * Conservation of angular momentum
 * Conservation of energy
 * Potential energy
 * Conservative force
 * Conservation of mass

Law of universal gravitation

 * Projectile motion
 * Kepler's laws of planetary motion
 * Escape velocity
 * Potential well
 * Weightlessness
 * Lagrangian point
 * N-body problem
 * Kolmogorov-Arnold-Moser theorem
 * Virial theorem
 * Gravitational binding energy
 * Speed of gravity
 * Newtonian limit
 * Hill sphere
 * Roche lobe
 * Roche limit

Hamiltonian mechanics

 * Phase space
 * Symplectic manifold
 * Liouville's theorem (Hamiltonian)
 * Poisson bracket
 * Poisson algebra
 * Poisson manifold
 * Antibracket algebra
 * Hamiltonian constraint
 * Moment map
 * Contact geometry
 * Analysis of flows
 * Nambu mechanics

Lagrangian mechanics

 * Action (physics)
 * Lagrangian
 * Euler–Lagrange equations
 * Noether's theorem