Polar Radius

Functions
template<typename T >
T	EGXMath::SpheroidPolarRadius (const T meanRadiusInm, const T flattening)
	Finds the polar radius, \(c\), in meters of a spheroid with mean radius, \(r\), and flattening, \(f\): \[ c = r \left (1 - \dfrac{2f}{3} \right ) \] . More...

Detailed Description

Function Documentation

SpheroidPolarRadius()

template<typename T >

T EGXMath::SpheroidPolarRadius	(	const T	meanRadiusInm,
		const T	flattening
	)

Finds the polar radius, \(c\), in meters of a spheroid with mean radius, \(r\), and flattening, \(f\):

\[ c = r \left (1 - \dfrac{2f}{3} \right ) \]

.

See http://farside.ph.utexas.edu/teaching/336k/Newtonhtml/node109.html and https://en.wikipedia.org/wiki/Equatorial_bulge

Parameters

meanRadiusInm	\( r\ (m)\) Mean radius of spheroid in meters.
flattening	\( f\ (dimensionless)\) Flattening of spheroid.

Returns

\( c\ (m)\) Polar radius in meters. The unique semi-principle axis of the spheroid.

See also

SpheroidEccentricity() for eccentricity of a spheroid.

SpheroidEquatorialRadius() for equatorial radius of a spheroid.

SpheroidFlattening() for flattening of a spheroid.

SpheroidInertia() for inertia tensor of a spheroid.

SpheroidSurfaceArea() for surface area of a spheroid.

SpheroidVolume() for volume of a spheroid.