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

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Md. Humayun Kabir
Umme Ruman
Sharmin Alam
Shamima Islam
Jakia Sultana
Md. Monirul Islam

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.

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