GEODETIC POSITIONING AND GRAVITY FIELD IN GEODESY
Course Objectives:
- To become familiar with coordinate systems, different relative horizontal and vertical positioning systems.
- To become familiar earth gravity systems.
Course outline:
- Introduction (2 hours)
- The Need for positioning
- Review of Coordinate Systems
- Relative Positioning by Terrestrial Methods (8 hours)
- Three Dimensional Relative Positioning
- Relative Horizontal Positioning on Reference Ellipsoid
- Relative Horizontal Positioning on Conformal Mapping Plane
- Relative Vertical Positioning
- Positioning by Astronomic Methods (6 hours)
- Coordinate Systems and Star Coordinate Updating
- Mathematical Models for Latitude Longitude and Azimuth
- Positioning by the Global Positioning Satellite (GPS) System (8 hours)
- GPS System
- GPS Mathematical Models
- GPS Results
- Positioning by Inertial Navigation System (INS) (8 hours)
- Fundamentals of Inertial Navigation
- Mathematical Models
- Kalman Filtering
- Gravity force, Potential and anomaly (13 hours)
- Newton's Law of attracting force
- Gravity force
- Determination of gravity on the Geoid Surface
- Normal formula for the gravity
- Gravity Potential
- Potential of a Spherical body
- Properties of the Potential and its values
- Harmonical functions
- Gravity reduction
- Ellipsoid, Geoid, and anomaly of the gravity
- Correction due to the heights of the points
- Free air anomaly
- Boyger anomaly
- Isotasy
- Earth tide correction
- Gravimeters
- Absolute and relative gravimeters
- Conception of gravimeter of construction and its Systems
- Different Types of Gravimeters
- Gravity observations and computation of the results
Tutorials:
Positioning computations and computer programming on exercise.
Reference:
- J. Kakiwsky and D.E. Wlls-Coordinate System in Geodesy 1990, University of Calgary.
- J. Krakiwsky and D.B. Thomson-Geodetic Positioning Computations 1990, University of Calgary.
- Roberts, E.J. Krakiwsky and D. Szabo-Procedures and Methodology for Second Order Astronomic Positioning 1993, University of Calgary.
- B. Thomsons, E.J. Krakwisky and J.R. Adams-A Mannual for Geodetic Computations in the maritime Provinces, University of Calgary.
- Hofmann-Wellenhof, H. Lichtenegger and J. Collins, Springer-Verlag, New York. GPS Theory and Practice
- Selected technical papers as recommended by the Geomatics Department
- Gilbert Strang-Linear Algebra, Geodesy and GPS 1997
- Navstar Global Positioning System Surveying – American Society of Civil Engineers 2000
- Pradip Misra and Per Enge, Ganga-Jamuna Press, Lincoln, Massachusetts USA-Global Positioning System 2012.
- A class note: GPS mathematical models for static and kinematic positioning by H. Martel, E.J Krakiwsky and M Abousalem
Assessment: Averaging of three
Evaluation Scheme:
The question will cover all the chapters in the syllabus. The evaluation scheme will be as indicated in the table below:
S.N. |
Chapter |
Hours |
Marks Distribution* |
1 |
1,2 |
10 |
16 |
2 |
3,6.1-6.4 |
9 |
16 |
3 |
4 |
8 |
16 |
4 |
5 |
7 |
16 |
5 |
6 |
10 |
16 |
Total |
45 |
80 |
*Note: There may be minor deviation in marks distribution
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