🎬use a simple Euler numerical integration method to simulate the precession over time

The demo vividly illustrates the principle of pure precession, where the angular momentum vector $L$ rotates steadily around the fixed axis $v$. The underlying mechanism is the cross-product nature of the differential equation, $\frac{d L}{d t}=v \times L$, which ensures that the change in $L$ is perpetually perpendicular to $L$ itself; this guarantees that the magnitude of $L$ is conserved. The resulting motion is the tracing of a cone around $v$, with the rate of precession $\Omega$ being constant and equal to $|v|$. The simulation confirms that regardless of the initial conditions, the magnitude of $L$ and its inner product with $v$ are held constant throughout the rotation, precisely matching the theoretical proof.

🎬Narrated Video

🧵Related Derivation

🧄The Power of Cross Products: A Visual Guide to Precessing Vectors (CP-PV)

⚒️Compound Page

🎬use a simple Euler numerical integration method to simulate the precession over time