Abstract
Geodesy is a branch of applied mathematics and Earth sciences, the scientific discipline and technology dealing with measurement and representation of Earth, including its gravitational field, in three-dimensional, time-varying space. Geodesy can be divided into applied, physical, geometric, and satellite geodesy and is associated with the fields of photogrammetry, remote sensing, and cartography, because one has to start with measuring in order to produce a map. In other words, a map is the final result of surveying and geodesy. Sphere is often taken as a model of the Earth’s surface. Another model frequently taken for the Earth’s surface is rotational ellipsoid. While determination of the Earth’s figure and size is one of the fundamental tasks of geodesy, map projections include the study of spherical or ellipsoidal transformation from the Earth’s or another planet’s surface model to a two dimensional representation. The chapter deals with basic mathematics of an ellipsoid or a sphere required to understand map projections.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Benčić D (1990) Geodetski instrumenti (Geodetic Instruments, in Croatian). Školska knjiga, Zagreb, p 548
Helmert FR (1880) Die mathematischen und physikalischen Theorieen der Höheren Geodäsie, Einleitung und I. Teil: Die mathematischen Theorieen. Verlag von B.G. Teubner, Leipzig
Krüger L (1912) Konforme Abbildung des Erdellipsoids in der Ebene. Potsdam: Veröffentlichung des Königlich Preuszischen Geodätischen Institutes, Neue Folge No. 52. BG Teubner, Leipzig
König R, Weise KH (1951) Mathematische Grundlagen der höheren Geodäsie und Kartographie, Erster Band. Springer, Berlin
Lambert JH (1772) Beiträge zum Gebrauche der Mathematik und deren Anwendungen, Dritter Theil, im Verlag der Buchhandlung der Realschule, Berlin. Translated to English with an introduction by WR Tobler: Notes and Comments on the Composition of Terrestrial and Celestial Maps, Michigan Geographical Publication No. 8, Department of Geography, University of Michigan, Ann Arbor, 1972
Lapaine M (1990) Duljina luka meridijana (in Croatian). Geodetski list 4–6:97–108
Lapaine M (1994) Osnovni geodetski zadaci uzduž meridijana i uzduž paralele na rotacijskom elipsoidu (in Croatian). Geodetski list 1:43–52
Lapaine Milj, Lapaine Mir (1991) Površina elipsoidnog trapeza (in Croatian). Geodetski list 1991(10–12):367–373
Moritz H (1980) Das Geodätische Bezugssystem 1980. Festschrift zur Emeritierung von o.Univ.-Prof. Dipl.-Ing. Dr. techn. Karl Hubeny. Mitt. der geodätischen Institute der Technischen Universität Graz, Folge 35, Graz, pp 153–159
Neidhardt N (1950) Naziv struke (in Croatian). Geodetski list 1–3:72
Vanícek P, Krakiwsky EJ (1987) Geodesy: the concepts, 2nd edn. Elsevier Science, Amsterdam
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2017 Springer International Publishing AG
About this chapter
Cite this chapter
Lapaine, M. (2017). Basics of Geodesy for Map Projections. In: Lapaine, M., Usery, E. (eds) Choosing a Map Projection. Lecture Notes in Geoinformation and Cartography(). Springer, Cham. https://doi.org/10.1007/978-3-319-51835-0_13
Download citation
DOI: https://doi.org/10.1007/978-3-319-51835-0_13
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-51834-3
Online ISBN: 978-3-319-51835-0
eBook Packages: Earth and Environmental ScienceEarth and Environmental Science (R0)