In classical mechanics, Poinsot's construction (after Louis Poinsot) is a geometrical method for visualizing the torque-free motion of a rotating rigid...

Earth. Reference ellipsoid, a mathematical figure approximating the shape of planetary bodies in general. Mechanics Poinsot's ellipsoid, a geometrical method...

the Poinsot solids. In 1810 Cauchy proved, using Poinsot's definition of regular, that the enumeration of regular star polyhedra is complete. Poinsot worked...

the rotational inertia with respect to a fixed axis of rotation Poinsot's ellipsoid – Geometric method for visualizing a rotating rigid body Polhode –...

coordinates is a quadratic form that defines a surface in the body called Poinsot's ellipsoid. Let Λ {\displaystyle {\boldsymbol {\Lambda }}} be the inertia matrix...

integrability. Euler angles Dzhanibekov effect Moment of inertia Poinsot's ellipsoid Rigid rotor Hitchin, Nigel J.; Segal, Graeme B.; Ward, Richard S...

torque is discussed in the articles Euler's equation of motion and Poinsot's ellipsoid. It follows from Euler's equation that a torque τ applied perpendicular...

B,C} . The construction of such ellipsoid was conceived by James MacCullagh. Dzhanibekov effect Poinsot's ellipsoid On the Rotation of a Solid Body round...

For example, the principal axes of the inertia tensor define the Poinsot's ellipsoid representing the moment of inertia. Also see Sylvester's law of inertia...

ω. The curve produced by the angular velocity vector on the inertia ellipsoid, is known as the polhode, coined from Greek meaning "path of the pole"...

in South Wales Tumble RFC, a rugby union club A special case of Poinsot's ellipsoid, describing a form of chaotic rotation of an extended object Tumble...

Hilbert's third problem Deltahedron Surface normal 3-sphere, spheroid, ellipsoid Parabolic microphone Parabolic reflector Soddy's hexlet Sphericon Stereographic...

around an axis that itself moves evenly, they appear to tumble (see Poinsot's ellipsoid for an explanation). For true tumbling, the three moments of inertia...

of isosurfaces corresponding to the constants of motion. For example, Poinsot's construction shows that the torque-free rotation of a rigid body is the...

recurrence theorem Poincaré–Bendixson theorem Poincaré–Lindstedt method Poinsot's ellipsoid Point charge Point mass Point particle Point source Point source...

Carl Jacobi discovers his uniformly rotating self-gravitating ellipsoids 1834 – Louis Poinsot notes an instance of the intermediate axis theorem 1835 – William...

Quadrifolium Epicycloid Epispiral Epitrochoid Hypocycloid Lissajous curve Poinsot's spirals Rational normal curve Rose curve Bicuspid curve Cassini oval Cassinoide...

Helly's theorem Holomorphically convex hull Integrally-convex set John ellipsoid Pseudoconvexity Radon's theorem Shapley–Folkman lemma Symmetric set Morris...

quadric surface. There are six types of non-degenerate quadric surfaces: Ellipsoid Hyperboloid of one sheet Hyperboloid of two sheets Elliptic cone Elliptic...

triaxial ellipsoid, which was to be sectioned by a plane in the same way. In general there would be two planes passing through the center of the ellipsoid and...