Conjugate Momenta
Hamiltonian from Lagrangian
How does one solve an inhomogeneous differential equation? (i.e. y’’ + y = sin(x))
Find the homogeneous solution (the solution to the equation with only y’s and its derivatives) and add to it a particular solution (any solution that solves the original equation).
Hamilton’s Equations
Energy Function
Matrix Form of the Lagrangian
Matrix Equation for Eigenmodes of Small Oscillations
Euler Lagrange Equation
Moment of Inertia Tensor
Parallel Axis Theorem
Differential in rotating coordinate system