1984
DOI: 10.1007/bf02523701
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The geodesic inverse problem

Abstract: The first sentence of section (2) should read;For equatorial lines a 1 = 90° exactly, 'Y = y = 1 , and r = 1-'Y 2 = 0.However, I feel that the mathematical development given by the section would be well applicable to all cases, including the case a 1 = 0 exactly, but clearly the real need was for the special case of the line on the equator.

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Cited by 3 publications
(4 citation statements)
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“…Despite the simplicity and fast convergence of Helmertʹs expansion the U.S. DMA adopted the fully expanded form of the Bessel series reported by Hinks in 1927. This expansion is important, despite the poorer convergence of series in n, because it is used in the definition of UTM [Bowring, 1983]…”
Section: Utmmentioning
confidence: 99%
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“…Despite the simplicity and fast convergence of Helmertʹs expansion the U.S. DMA adopted the fully expanded form of the Bessel series reported by Hinks in 1927. This expansion is important, despite the poorer convergence of series in n, because it is used in the definition of UTM [Bowring, 1983]…”
Section: Utmmentioning
confidence: 99%
“…Equation 46can be written in the form of equation 47provided by Veis [Veis, 1992]   Another formula for the meridian arc length is equation 50, which is used by Bowring [Bowring, 1983] as the reference for the derivation of other formulas, employing polar coordinates and complex numbers. The basic difference of formula (50) from (47), (48) and (49) is that (50) uses the ellipsoid parameters (a, b), instead of the parameters (a, e) which are used in formulas (47), (48) and (49).…”
Section: Quadrant Length Qmentioning
confidence: 99%
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