Prolate spheroid eccentricity (c>a)

Description

A spheroid, or ellipsoid of revolution is a quadric surface obtained by rotating an ellipse about one of its principal axes; in other words, an ellipsoid with two equal semi-diameters. A prolate spheroid is a spheroid in which the polar axis is greater than the equatorial diameter ( like an American football or rugby ball). The prolate spheroid is generated by rotation about the Oz axis of an ellipse with semi-major axis c and semi-minor axis a, therefore e may again be identified as the eccentricity.

Related formulas

Variables

eEccentricity (dimensionless)
aSemi-major axis ( the equatorial radius of the spheroid) (dimensionless)
cDistance from centre to pole along the symmetry axis (c>a) (dimensionless)