Approximate Shortest Distance and Direction between two Places on the Spherical Earth and the Oblate Spherical Earth

Authors

  • Md Humayun Kabir Lecturer of Mathematics in the Dept. of Computer Science and Engineering, Green University of Bangladesh, Dhaka
  • Umme Ruman Assistant Professor of Mathematics in the Dept. of Computer Science and Engineering, Green University of Bangladesh
  • Sharmin Alam Senior Lecturer of Mathematics in the Dept. of Computer Science and Engineering, Green University of Bangladesh
  • Shamima Islam Assistant Professor of Mathematics in the Dept. of Computer Science and Engineering, Green University of Bangladesh
  • Jakia Sultana Senior Lecturer of Mathematics in the Dept. of Computer Science and Engineering, Green University of Bangladesh, Dhaka
  • Md Monirul Islam Lecturer of Mathematics in the Dept. of Computer Science and Engineering, Green University of Bangladesh

DOI:

https://doi.org/10.3329/gubjse.v8i1.62332

Keywords:

Differential Geometry, Oblate sphere, Latitude, Longitude, Haversine formula, Lambert’s formula.

Abstract

Differential geometry is an important aspect of current physics and the study of any planar surface. Quantum mechanics and modern science are developing with the help of differential Geometry in daily life. In this paper, we discuss two mathematical formulas named Haversine formula for spherical earth and Lambert’s formula for oblate spherical earth. These formulas are used to determine the shortest distance between two points on Earth, as well as the sine formula for determining the direction of various locations towards the North Pole. Some examples of different locations are illustrated in this literature which gives a better overview.

GUB JOURNAL OF SCIENCE AND ENGINEERING, Vol 8, Dec 2021 P 49-56

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Published

2022-11-16

How to Cite

Kabir, M. H., Ruman, U. ., Alam, S., Islam, S. ., Sultana, J., & Islam, M. M. . (2022). Approximate Shortest Distance and Direction between two Places on the Spherical Earth and the Oblate Spherical Earth. GUB Journal of Science and Engineering, 8(1), 49–56. https://doi.org/10.3329/gubjse.v8i1.62332

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