Self Study: Geodesy

Where ellipsoid parameters are needed, use the GRS80 ellipsoid: a = 6,378,137.000 m, b = 6,356,752.31 m, and e = 0.081819191

When using Geodetic Tool Kit software components, always use the most recent version (eg, GEOID18 instead of GEOID09) unless otherwise indicated. Identify the version you use.

Problem (1)

Near Poniatowski, WI, is a small park with a special marker. The marker is at the intersection of Lat 45°N and Long 90°W, the center of the Northwest hemisphere.

The orthometric height of the mark is 420 m

Part (a) Determine the Terrestrial Reference System X, Y, Z coordinates for this point.

Part (b) What are the radii in the meridian and prime vertical?

Part (c) What is the LaPlace correction at this location?

Solution

Problem (2)

The acceleration of gravity at MSL is 32.2 feet per second. What is it expressed in gals?

Solution

Problem (3)

To the nearest meter, what is the length of one second of longitude along the equator of the ellipsoid?

Solution

Extra Credit

Latitudinal sections of the ellipsoid are circles. What is the radius of the 45°N latitude arc?

Solution