CE59700 - Coordinate Systems and Conformal Mapping

Fall 2017

Days/Time: TBD / TBD
Credit Hours: 3

Learning Objective:
After the course the student will be able to solve most 1D/2D/3D survey problems based on rigorous 1D-, 2D- and 3D-modeling, perform coordinate transformations, assess mapping characteristics based on principles of differential geometry, develop mapping dedicated to any engineering project, generate novel engineering solutions to newly presented survey problems, evaluate 1D-, 2D-, and 3D-models, the coordinate frames used for these and their interrelationships, model the physical reality underlying most geometry-based models, in earth-fixed as well in inertial space.

Description:
The course will cover topics necessary for the modern "3D geomatics engineer/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 (mapping equations) and their characteristics will be discussed, based on the fundamentals of differential geometry and curvilinear coordinates.

Topics Covered:
(Differential) Geometry and Multivariate Calculus: Cartesian, Spherical and Ellipsoidal coordinates and transformations between them; Radius of curvature; Jacobian and Metric Matrices [ Cartan 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 and HARNs, GEOID90, GEOID93, GEOID96, GEOID99, GEOID2003.

Prerequisites:
Graduate standing or consent of instructor.

Web Address:
TBA

Homework:
Homework assignments, quizzes and lab work. Lab assignments, such as mapping by computer, will be performed through the (heavy!) use of MATLAB.

Projects:
See reference to lab assignments under "Homework".

Exams:
Midterm and comprehensive final exam.

Textbooks:
Leick, A., 2004. "GPS Satellite Surveying" John Wiley & Sons, Inc., Third Edition, ISBN-10: 0-471-05930-7 / ISBN-13: 978-0-471-05930-1

Computer Requirements:
ProEd Minimum Computer Requirements. Matlab (registered students have access to Matlab through the ITAP/Software Remote website: (https://goremote.ics.purdue.edu/).

ProEd Minimum Requirements: view

Tuition & Fees: view

INSTRUCTOR

T. B. D.
Phone
None
Email
proed@purdue.edu
Office
Campus
Building
Address
West Lafayette, IN 47907

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