Bulletin géodésique

, Volume 57, Issue 1–4, pp 374–381

New equations for meridional distance

  • B. R. Bowring
Article

Abstract

A simple equation to determine the distance on a meridian is developed using complex numbers. Very great accuracy is obtainable. Inverse and other forms are also presented.

Notation

a, b

major, minor semiaxes of meridian ellipse

n

(a-b)/(a+b)

A

a(1+1/8n2)2/(1+n)

B

9(1−3/8n2). k=−2/13B

B1

1−3/8n2

C

1−9/16n2

E1, E2

errors. See (3) and (16)

F, G, H

See (5)

M

meridional distance from the equator

θ

M/A

ϕ

geodetic latitude

u

parametric latitude

x, y

Cartesian or complex number components

r, a

polar representation

i

(−1)1/2

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Copyright information

© Bureau Central de L'Association Internationale de Géodésie 1983

Authors and Affiliations

  • B. R. Bowring
    • 1
  1. 1.SurbitonEngland

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