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Reconstruction of the Earth's Meridian Ellipse on the Basis of Experimental Measurements

Klaudija Scitovski ; Geofoto d.o.o., Zagreb, Hrvatska
Rudolf Scitovski orcid id orcid.org/0000-0002-7386-5991 ; Odjel za matematiku, Sveučilište u Osijeku, Osijek, Hrvatska


Puni tekst: hrvatski pdf 842 Kb

str. 19-35

preuzimanja: 792

citiraj


Sažetak

On the basis of new mathematical optimization methods this paper analyzes an old problem of reconstructing the Earth's ellipsoid of rotation on the basis of measurement data, which was considered by the French mathematician and astronomer marquis Pierre-Simon de Laplace as early as the beginning of the 18th century. An efficient method from the paper (Sabo and Scitovski 2009) for searching optimal parameters of the best least absolute deviations linear approximation is especially analyzed, illustrated and modified. In the scientific literature the best l1 approximation is usually associated with the name of Croatian scientist J. R. Bošković. The least absolute deviations methods have recently started to be extensively applied in different technical applications due to their property of robustness and the possibility of implementation in real time on modern computers.

Ključne riječi

Positioning; Least Absolute Deviations; Curve fitting; Earth's Meridian Ellipse

Hrčak ID:

35859

URI

https://hrcak.srce.hr/35859

Datum izdavanja:

13.3.2009.

Podaci na drugim jezicima: hrvatski

Posjeta: 1.738 *