Triaxial Ellipsoid Calculation

Calculators and formulas for calculating the volume and surface area of a triaxial ellipsoid

Calculation of a triaxial ellipsoid


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.


Triaxial Ellipsoid calculator

 Input
Semi axis a
Semi axis b
Semi axis c
Decimal places
 Results
Volume V
Surface area *) S
triaxial Ellipsoid

Formulas for calculating the triaxial ellipsoid


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

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

\(\displaystyle P=1.6075 \)

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


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