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

Proof and Derivation: https://viadean.notion.site/The-Power-of-Cross-Products-A-Visual-Guide-to-Precessing-Vectors-CP-PV-24e1ae7b9a3280a8a95fc84c80a79a68

Summary: 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.

Видео use a simple Euler numerical integration method to simulate the precession over time канала Cross-Disciplinary Perspective(CDP)