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Bulletin géodésique

, Volume 57, Issue 1–4, pp 374–381 | Cite as

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.

Keywords

Imaginary Part Polar Conversion N291 Sin40 Excess Error Minor Semiaxes 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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

Preview

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Reference

  1. [1]
    New Geodetic Tables for Clarke's Figure of 1880 with Transformations to Madrid 1924 and Other Figures. R.G.S. Technical Series No. 4. London 1927. p.x.Google Scholar

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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