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

https://youtu.be/h6IsSgg0dBg

🏗️Structural clarification of Poof and Derivation

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🗒️Downloadable Files - Recursive updates (Feb 10,2026)

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Copyright Notice

All content and images on this page are the property of Sayako Dean, unless otherwise stated. They are protected by United States and international copyright laws. Any unauthorized use, reproduction, or distribution is strictly prohibited. For permission requests, please contact [email protected]

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