Classical mechanics

From TheTangentBundle

Contents 1 Newtonian mechanics 2 Analytical mechanics 3 Central force 4 Rigid body dynamics 5 Vibrations 6 Classical chaos 7 Perturbation theory 8 Continuous systems

[edit] Newtonian mechanics

• Angular momentum
• Rocket equation

[edit] Analytical mechanics

• Lagrangian mechanics
• Hamiltonian mechanics
• Poisson brackets
• Canonical transformations
• Generalized Hamiltonian dynamics

[edit] Central force

• Reduction from two-body to one-body problem
• 1D effective potential
• Inverse square-law force (Kepler problem)
• Isotropic harmonic oscillator

[edit] Rigid body dynamics

• Angular velocity
• Moment of inertia tensor
• Torque

[edit] Vibrations

• Modal analysis

[edit] Classical chaos

[edit] Perturbation theory

[edit] Continuous systems

• Continuum mechanics
• Classical field theory