SOLVING THE MERIDIAN ARC DISTANCE PROBLEM USING COMPUTER ALGEBRA


Yildirim F.

APPLIED AND COMPUTATIONAL MATHEMATICS, vol.12, no.3, pp.348-354, 2013 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 12 Issue: 3
  • Publication Date: 2013
  • Journal Name: APPLIED AND COMPUTATIONAL MATHEMATICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.348-354
  • Karadeniz Technical University Affiliated: No

Abstract

One of the working fields of Geomatics Engineering is Geodesy, and thus, determining size and the shape of the earth. With the studies carried out up until now, it has been seen that the shape of the world is closest to ellipsoids, and all geodesic calculations are carried out depending on this reference surface, ellipsoid. Along with technological advances, astrogeodetic applications such as atmospheric layer, satellite orbit, lunar, and other planets bigger than earth, are all involved in geodetic calculations. For this reason, ellipsoidal calculations have increasingly gained importance. The meridian arc distance problem and the inverse problem are two of the most frequently used calculations on the ellipsoid surface. Thanks to today's Computer Algebra Software Systems such as MATLAB, kinds of geodetic calculations can be obtained as symbolic formulas. In this study, current formulas for the meridian arc distance problem and inverse problem are developed.