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Nov 08, 2024
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2024-2025 University Catalog
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CE 50101 - Map Projection And Geometric Geodesy
Credit Hours: 3.00. The course will cover topics necessary for the modern “3D surveyor”: it will give an overview of coordinate frames used in geodesy, surveying and mapping. What are the relationships between the various (3D) coordinate frames? How are the results of 1D/2D/3D surveys being mapped to a 2D, not necessarily flat, surface? Mapping models (projecting equations) and their characteristics will be discussed, based on the fundamentals of differential geometry and curvilinear coordinates. (Differential) Geometry and Multivariate Calculus: Cartesian, Spherical and Ellipsoidal coordinates and transformations between them. Radius of curvature. Jacobian and Metric Matrices. Geometric Geodesy: Earth-fixed frames. Geocentric, topocentric and local frames. Radius of curvature in the meridian and the prime vertical. [Differential coordinate transformations. Commutative diagram.] Reference sphere. Shortest distance over the sphere/ellipsoid. Reference ellipsoid. Reductions to the ellipsoid. Map projections: Basics of mapping. Conformal mapping. Mercator, Lambert, Stereographic. State Plane Coordinate Systems. Intro to Physical Geodesy: Shape of the Earth. Earth rotation. Inertial frames. Precession, Nutation, Polar Motion, Length of Day. Time Systems. Gravity and Gravitation. Potential Energy. Equipotential surfaces. Geoid. Height differences and the flow of water. Orthometric heights. Geodetic Reference Datums/Frames/Systems: NAD27, NGVD29, IGSN71, WGS72, GRS80, NAD83, WGS84, NAVD88, IERS Standards 1992, HARNs, GEOID90, GEOID93, GEOID96, GEOID99, GEOID2003, GEOID2009. Credits: 3.00
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