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On Loxodromic Navigation

  • Kitt C. Carlton-Wippern (a1)
Abstract

This article addresses the mathematical foundations of rhumblines or loxodrome curves. These curves are critical to navigation and small-scale charting by virtue of the fact that they provide an efficient routeing from one point on a surface to another by means of a constant ‘course angle‘. This article will develop the necessary mathematical relations for the construction of such a curve, then apply the relations to both spherical and oblate-spheroidal surfaces. The purpose of this article is to produce a superior oblate-spheroidal loxodrome curve, which better models curves or routes of constant course on the actual, approximately oblatespheroidal, Earth.

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7 The coordinate v is identified in this case as the astrodynamic ‘reduced co-latitude' Porter, J. Wayne (1991). KAMAN Sciences Technical Report for CSR No. 911–002, p. 8.
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Wippern, K. C. C, Surface Navigation and Geodesy, A Parametric Approach, AFSPACECOM Technical Note, 1 March 1988, with addendums.
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The Journal of Navigation
  • ISSN: 0373-4633
  • EISSN: 1469-7785
  • URL: /core/journals/journal-of-navigation
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