This semester I'm playing around with using Claude Code to create some interactive materials for my Intro to Astrophysics course. Would love to chat about it, see below!
A pendulum whose pivot is shaken up and down once per unit time. Each term in $\dot v$ is a wave, and each dial shows that wave's phase as seen by the pendulum. Click the phase plane to launch an orbit.
$$\dot\theta = v, \qquad \dot v = -\alpha\sin\theta - \epsilon\left[\sin(\theta-2\pi t)+\sin(\theta+2\pi t)\right]$$
$v=0$ resonance
$\dot v \propto -\sin(\theta)$
$v=2\pi$ resonance
$\dot v \propto -\sin(\theta-2\pi t)$
$v=-2\pi$ resonance
$\dot v \propto -\sin(\theta+2\pi t)$