Documentation / @interstellar-tools/equations / planetographicLatitudeOblate

Function: planetographicLatitudeOblate()

function planetographicLatitudeOblate(
  x: number,
  y: number,
  z: number,
  a: number,
  c: number
): Radians;

Defined in: cartography/planetographic-latitude-oblate.ts:21

Compute planetographic latitude (oblate spheroid) from body-fixed Cartesian coordinates.

Given: $\tan {\phi }_g=\frac{z}{\sqrt{x^2+y^2}}(1-e^2{)}^{-1},e^2=1-\frac{c^2}{a^2}$

This returns: ${\phi }_g=\arctan \left(\frac{z}{\sqrt{x^2+y^2}}\frac{1}{1-e^2}\right)$

Parameters

Parameter	Type	Description
x	number	X coordinate (finite)
y	number	Y coordinate (finite)
z	number	Z coordinate (finite)
a	number	Equatorial radius (finite, > 0)
c	number	Polar radius (finite, > 0)

Returns

Radians

Planetographic latitude φg in radians (range: [-π/2, π/2])