Triaxial Ellipsoid Calculation

This function calculates the volume and surface area of a triaxial ellipsoid. In the case of a triaxial ellipsoid, in addition to the elliptical length, there is also the Equator not circular, but elliptical. The triaxial ellipsoid is therefore not an ellipsoid of revolution and has three different semi-axes a, b and c.

To calculate the triaxial ellipsoid, enter the lengths of the three semi-axes. Then click on the 'Calculate' button.

Formulas for the triaxial ellipsoid

Volume (\(\small{V}\))

\(\displaystyle V=\frac{4}{3} ·π · a·b·c\)

Surface area) (\(\small{S}\))

\(\displaystyle S ≈ 4π \left( \frac{a^P·b^P+a^P·c^P+b^P· c^P}{3} \right)^{1/P} \)

\(\displaystyle P=1.6075 \)

*) The surface area is calculated using Knud Thomsen's approximation formula with a maximum error of 1.061%.