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2 TransNav : International Journal on Marine Navigation and Safety of Sea Transportation

2 2013

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Solutions of Inverse Geodetic Problem in Navigational Applications

Lenart A. S.

TransNav : International Journal on Marine Navigation and Safety of Sea Transportation

2013

Vol. 7, no. 2

253--257

Solutions of such navigational problems as an orthodromic navigation (courses, distances and intermediate points), maximum latitude and a composite navigation with limited latitude as well as, for comparison, a loxodromic navigation (courses, distances) without any simplifications for a sphere, by an application of solutions of the inverse geodetic problem are presented. An exemplary rigorous, rapid, noniterative solution of the inverse geodetic problem according to Sodano, for any length of geodesic, is attached.

So, What is Actually the Distance from the Equator to the Pole? – Overview of the Meridian Distance Approximations

Weintrit A.

TransNav : International Journal on Marine Navigation and Safety of Sea Transportation

2013

Vol. 7, no. 2

259--272

In the paper the author presents overview of the meridian distance approximations. He would like to find the answer for the question what is actually the distance from the equator to the pole ‐the polar distance. In spite of appearances this is not such a simple question. The problem of determining the polar distance is a great opportunity to demonstrate the multitude of possible solutions in common use. At the beginning of the paper the author discusses some approximations and a few exact expressions (infinite sums) to calculate perimeter and quadrant of an ellipse, he presents convenient measurement units of the distance on the surface of the Earth, existing methods for the solution of the great circle and great elliptic sailing, and in the end he analyses and compares geodetic formulas for the meridian arc length.