This book addresses the problems of mathematical relations between global and classical coordinate references from the practical applications point of view. It presents a large cartographic and numerical information set, which provides great values for practical and academical use based on the classical Albanian coordinative reference (ALB1986/ALB1987). This information is reflected from the positional point of view in the new modern Albanian satellite reference ALBPOS (Albanian Positioning System) or ALBCORS (Albanian Continuous Operation Reference Stations System). The main purpose of this Monograph is to summarize coordinative references applied in Albania in different periods, both classical and modern. Relevant transformation models between traditional/classical reference ALB1986 / ALB1987 and GNSS satellite reference are presented. The book furthermore recommends the mathematical models of the relationship in plan and height, between the Albanian classical reference and the global/European coordinate references (ITRF, EUREF). It serves to professionals involved in fundamental geodetic works as well as all working with GNSS or developing GIS applications.
Author(s): Bilbil Nurçe
Series: SpringerBriefs in Earth System Sciences
Publisher: Springer
Year: 2023
Language: English
Pages: 119
City: Cham
Preface
Reviewers
Introduction
Contents
About the Author
Abbreviations
List of Figures
List of Tables
1 Classical Horizontal References of Albania
1.1 Horizontal Reference of 1868–1918
1.2 Horizontal Reference of 1922–1939
1.3 Horizontal Reference of 1948
1.4 Horizontal Reference of 1986
References
2 Classical Vertical References of Albania
2.1 Vertical Reference of 1868–1918
2.2 Vertical Reference of 1927
2.3 Vertical Reference of 1952–1955
2.4 Vertical Reference of 1987
References
3 Modern References in Albania
3.1 ALBPOS-2010
3.2 IGEWE (IGEO) CORS-2013
3.3 ALBCORS-2019
References
4 Modern Vertical Reference of Albania
4.1 Introduction
4.2 1st Order Leveling Network
4.3 2nd Order Leveling Network
4.4 Tide Gauge Stations Network
5 Gravimetric Reference of Albania
5.1 Introduction
5.2 Absolute Gravimetric Network of Albania
5.3 1st Order Gravimetric Network
5.4 2nd Order Gravimetric Network
5.5 3rd Order Gravimetric Network
References
6 Mathematical Relations Between the References of Albania
6.1 MTI-DMAAC GPS Campaign, October 1994
6.2 PMU-University of Wisconsin GPS Campaign, February 1998
6.3 ITU—BKG (EUREF) GPS Campaign, September 1998
6.4 MGIF—MIGI GPS Campaign, October 2007-April 2008
6.4.1 Transformation of 2-D Coordinates (N, E) or (φ, λ)
References
7 Models of Transformation of 2-D Coordinates (N, E)
7.1 D Helmert Transformation (N, E)ETRF2000,2008.0 ↔ (N, E)ALB1986
7.1.1 Linear Equations of the Helmert Transformation from ALB1986 to ETRF2000, 2008.0
7.1.2 Linear Equations of the Helmert Transformation from ETRF2000, 2008.0 to ALB1986
7.1.3 2-D Polynomial Transformation (N, E)ETRF2005 ↔ (N, E)ALB86
7.2 Polynomial Transformation of 2-D Curvilinear Coordinates (φ, λ)GRS80 ↔ (φ, λ)Krasovsky
7.2.1 Transformation of (φ, λ)GRS80 into (φ, λ)Krasovsky Through the Interpolation Polynomial with Two Variables (x, y)
7.3 Transformation of 3-D Spatial Orthogonal Coordinates (X, Y, Z)
7.3.1 7-Parametric Helmert Transformation (Burša-Wolf) of 3-D Coordinates (X, Y, Z)
7.3.2 7-Parametric Molodensky-Badeka Transformation of 3-D Spatial Coordinates (X, Y, Z)
7.3.3 7-Parametric Burša-Wolf Transformation of 3-D Spatial Ellipsoidal (φ,λ,h)
Reference
8 Transformation of Heights
8.1 Transformation of Ellipsoidal Heights (h) into Orthometric Heights (H) Via Albageo3
8.2 Transformation of Ellipsoidal Heights (H) into Local-Orthometric Heights (H) Through the Linear Interpolation Polynomial
Recommendations/Conclusions
Glossary
Bibliography
