Jacobi ellipsoid

Summary

Jacobi ellipsoid is a mathematical concept^[1]. It draws 22 Wikipedia views per month (mathematical_concept category, ranking #235 of 1,007).^[2]

Key Facts

• Jacobi ellipsoid's instance of is recorded as mathematical concept^[3].
• Carl Gustav Jacob Jacobi is named after Jacobi ellipsoid^[4].
• Jacobi ellipsoid's subclass of is recorded as tri-axial ellipsoid^[5].
• Jacobi ellipsoid's defining formula is recorded as \begin{aligned}\Delta(u;a,b,c)&=\sqrt{(a^2+u)(b^2+u)(c^2+u)}\a^2b^2\int_0^\infty\frac{\mathrm du}{(a^2+u)(b^2+u)\Delta(u;a,b,c)}&=c^2\int_0^\infty\frac{\mathrm du}{(c^2+u)\Delta(u;a,b,c)}\\frac{\Omega^2}{GM}&=\frac32\int_0^\infty\frac{u\,\mathrm du}{(a^2+u)(b^2+u)\Delta(u;a,b,c)}\end{aligned}^[6].
• Jacobi ellipsoid's Google Knowledge Graph ID is recorded as /g/11g8xjv6fq^[7].
• Jacobi ellipsoid's schematic is recorded as Jacobi-ellipsoid-dimensions-2.svg^[8].
• Jacobi ellipsoid's in defining formula is recorded as a^[9].
• Jacobi ellipsoid's in defining formula is recorded as b^[10].
• Jacobi ellipsoid's in defining formula is recorded as c^[11].
• Jacobi ellipsoid's in defining formula is recorded as \Omega^[12].
• Jacobi ellipsoid's in defining formula is recorded as G^[13].
• Jacobi ellipsoid's in defining formula is recorded as M^[14].
• Jacobi ellipsoid's in defining formula is recorded as \frac32^[15].

Why It Matters

Jacobi ellipsoid draws 22 Wikipedia views per month (mathematical_concept category, ranking #235 of 1,007).^[2] It has Wikipedia articles in 6 language editions, a strong signal of global cultural recognition.^[16]