≡ START First steps Deutsch Ellipsoid : Length of meridian arc

The length of a meridian arc m between the parallels of ellipsoidal latitudes φ₁ and φ₂ is computed. Also the inverse problem is solved.

Note

Ellipsoid of revolution	Airy 1830 Australian 1965 Bessel 1841 Bessel 1841 Namibia Clarke 1858 Clarke 1866 Clarke 1880 Clarke 1880 IGN Everest 1830 India Everest 1830 Malaysia Everest 1956 India Everest 1964 Malaysia Everest 1969 Malaysia Everest Pakistan Fisher 1960 GRS 80 Hayford Helmert 1906 Hough 1906 Indonesian 1974 International 1924 Krassovsky 1940 Modified Airy South American 1969WGS 72 WGS 84 Sphere (6371 km)
Unit of latitude	Degrees [-90...90] DegMinSec [-90...90] Radian [-π/2...π/2] Turns [-½...½]

Quantity	Value
ellipsoidal latitude φ1 ellipsoidal latitude φ2 length of meridian arc (metre)
ellipsoidal latitude φ1 ellipsoidal latitude φ2 length of meridian arc (metre)

Did you know? If instead of the ellipsoidal latitude a different latitude is given or desired then it can be converted using .

≡ START First steps Deutsch In the library

Link	Author(s)	Title	Year	Type	Pages MByte
	Kawase K	A General Formula for Calculating Meridian Arc Length and its Application to Coordinate Conversion in the Gauss-Krüger Projection	2011	BasR	13 0.1
	Korth W	Koordinatensysteme – Geodätische Grundlagen	2009	Educ	37 0.1
	Seidel H	Die Mathematik der Gauß-Krüger-Abbildung	2006	BasR	77 0.7
	Dorrer E	From Elliptic Arc Length to Gauss-Krüger Coordinates by Analytical Continuation	2003	BasR	9 0.1
	Shaofeng B, Menz J	Two New Solutions for an Inverse Problem on the Length of the Meridian Arc	2000	BasR	4 0.1
	Rapp R	Geometric Geodesy Part II	1993	Educ	225 0.1
	Rapp R	Geometric Geodesy Part I	1991	Educ	189 0.1