Visualization of the Sun-Earth Lagrange points. Orbital mechanics is a fun subject, as it involves a lot of seemingly empty space that’s nevertheless full of very real forces, all of which must ...
Though, most importantly, it returns the Euler-Lagrange equations of motion. (see: "Inertia Wheel Pendulum" for an example of how to include inertia. Automatic inertia functionality will be added soon ...
Knowledge of Lagrangian mechanics assumed. Central force problem, scattering, rigid-body mechanics, normal modes and special relativity. Hamiltonian dynamics, canonical transformations, ...
This directory has methods for deriving the equations of motion of a double pendulum; automatically writing function files for computing the dynamics, kinematics, and energy; running simulations; and ...
and gives an introduction to classical mechanics. Analytical methods such as the principle of least action and Euler-Lagrange equations will be covered, but the course will also contain certain ...
The authors begin with Lagrangian Mechanics and Harmonic Oscillators. The harmonic oscillator plays an important role in both classical and quantum physics. The authors explore circuit analogs of the ...