On the extension of Helmert transform

The article deals with the method of comparison of the coordinate systems used by two quite different scientific disciplines: stellar astronomy and the geodesy. Geodesic Helmert transform is analysed along with a series of stellar astronomy kinematic models: Kovalsky-Airy, Lindbladt-Oort and Ogorodn...

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Bibliographic Details
Published in:Advances in Astronomy and Space Physics
Date:2014
Main Author: Choliy, V.Ya.
Format: Article
Language:English
Published: Головна астрономічна обсерваторія НАН України 2014
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/119802
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:On the extension of Helmert transform / V.Ya. Choliy // Advances in Astronomy and Space Physics. — 2014. — Т. 4., вип. 1-2. — С. 15-19. — Бібліогр.: 12 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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Summary:The article deals with the method of comparison of the coordinate systems used by two quite different scientific disciplines: stellar astronomy and the geodesy. Geodesic Helmert transform is analysed along with a series of stellar astronomy kinematic models: Kovalsky-Airy, Lindbladt-Oort and Ogorodnikov-Milne. An analogy was built allowing us to propose an extension to the Helmert transform. In the second part of the article, three different approaches to the solution of the correlation problem are compared, and the results of the numerical experiment are presented.
ISSN:2227-1481