Explore: Ellipsoids

modeled by a best-fitted ellipsoid Homoeoid, a shell bounded by two concentric similar ellipsoids John ellipsoid, the smallest ellipsoid containing a given

0818 respectively. Values for a number of ellipsoids are given in Figure of the Earth. Reference ellipsoids are usually defined by the semi-major axis

and the geosciences. Various different ellipsoids have been used as approximations. It is a spheroid (an ellipsoid of revolution) whose minor axis (shorter

ellipsoid and r {\displaystyle r} is the mean radius, the radius of a sphere of the same volume as the ellipsoid. The Jacobi and Dedekind ellipsoids are

the motion of its inertia ellipsoid, which is rigidly fixed to the rigid body like a coordinate frame. Its inertia ellipsoid rolls, without slipping, on

crystallography, thermal ellipsoids, more formally termed atomic displacement parameters or anisotropic displacement parameters, are ellipsoids used to indicate

{2f-f^{2}}}\\f&=1-{\sqrt {1-e^{2}}}\end{aligned}}} All modern geodetic ellipsoids are defined by the semi-major axis plus either the semi-minor axis (giving

this reason, geodesics on simple surfaces such as ellipsoids of revolution or triaxial ellipsoids are frequently used as "test cases" for exploring new

formulas for other sections of ellipsoids, not necessarily through its center. The computation of Löwner–John ellipsoids (and in more general, the computation

the ellipsoid method is an iterative method for minimizing convex functions over convex sets. The ellipsoid method generates a sequence of ellipsoids whose