2023
DOI: 10.24425/bpasts.2023.147058
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Comparison of main geometric characteristics of deformed sphere and standard spheroid

Vasyl Kovalchuk,
Ivaïlo M. Mladenov

Abstract: In the paper we compare the geometric descriptions of the deformed sphere (i.e., the so-called λ -sphere) and the standard spheroid (namely, World Geodetic System 1984's reference ellipsoid of revolution). Among the main geometric characteristics of those two surfaces of revolution embedded into the three-dimensional Euclidean space we consider the semi-major (equatorial) and semi-minor (polar) axes, quartermeridian length, surface area, volume, sphericity index, and tipping (bifurcation) point for geodesics. … Show more

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