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  • 12:02, 7 October 2026 Rongzhou talk contribs created page Inertia matrix (Created page with "The '''inertia matrix''' $\overline{I}$ is a 3X3 matrice that describes how a rigid body’s mass is distributed relative to a chosen origin. It relates the body’s angular velocity $\vec{\omega}$ to its angular momentum $\vec{L}$: $$ \vec{L} = \overline{I}\vec{\omega} $$ == Definition in orthonormal basis == In a orthonormal basis (Cartesian coordinate system) with origin at point $O$, and position vector $\vec{r}_m=(x,y,z)$ of each mass element $dm$, the inertia...")