Prolate spheroid equation (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)

Related formulas

Variables

xX-coordinate of the point (dimensionless)
aSemi-major axis ( the equatorial radius of the spheroid) (dimensionless)
yY-Coordinate of the point (ordinate) (dimensionless)
bSemi-minor axis (dimensionless)
zZ-coordinate of the point (dimensionless)
cDistance from centre to pole along the symmetry axis (c>a) (dimensionless)