Name: ___________________________
GPS Unit #: ______________________
Materials Needed: GPS unit, compass, pencil, Boulder topographic map
Introduction
Your mission is to use satellite navigation to explore the University of Colorado campus. You will use the Garmin GPS (Global Positioning System) unit to find and identify a landmarks (statues, etc.) or building on campus, and then return here to the Benson. Earth Sciences Building.
The goal of this project is to gain familiarity with GPS navigation, review map and compass navigation, and compare the two.
Satellite Numbers: ______ ______ ______ ______ ______ ______ ______ ______
_________________________________________________________________________________________
After you walk a while, if figures out which direction you're heading, and shows that.
Watch the GPS unit as you walk. Does the compass on the GPS unit start moving towards SW, and the TRACK move towards 225o. Is your latitude going down (less North), and your longitude going up (more West)??
Start Latitude: ________________Start Longitude: _______________ Start Elevation: _____________
Direction of Travel (e.g., NW) = ________
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Waypoint |
Latitude |
Longitude |
BRG |
DST to go |
Trip Dist. |
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Landmark or Building Name, or description?
Estimate Latitude and Longitude of this feature from the topo map.
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Start Latitude: ________________ Start Longitude: _______________ Start Elevation: _____________
How does this compare to the values you obtained in (8)? Calculate the change in meters in latitude, longitude, and elevation and write them down here. Which quantity changed the most? (Instructions on how to convert latitude and longitude differences into distances in meters and feet given at the end of this handout).
Compare your GPS locations for the landmarks with those obtained from the topo map. Discuss. (you will have to convert the latitudes and longitudes to common units (deg-min-sec, decimal degrees, whatever) before comparing)
Appendix
Converting latitude and longitude differences into distances in meters and feet
Once you have a position from GPS in latitude, longitude, and altitude, you may want to convert this to other units of measurement. This is useful if you want to know the relative distance between two points in feet or meters. You can use the following conversion to find the distance between two GPS located points. This conversion assumes that the Earth is a sphere but that the distances between points are small enough that the ground can be considered flat.
latitude and longitude [in decimal degrees]
= degrees + (minutes/60) + (seconds/3600)
latitude difference in meters
= latitude difference in decimal degrees x 111,300 m/deg
longitude difference in meters
= longitude difference in decimal degrees x 85,300 m/deg (near 40° N)
total difference between two points
= square root of : (longitude difference2 + latitude difference2 + altitude difference2)
Some GPS software will make this conversion for you. However, it is useful to know how this conversion is made and to have an intuitive feel for what your GPS positions mean.
Frequently it is desirable to use coordinates that are nearly Cartesian in the field. The UTM (Universal Transverse Mercator) projection is frequently used in this case. The projection is a sideways Mercator projection 6° wide along a meridian; positions are expressed as northing and easting and are meters (or kilometers) north of the equator or east of the central meridian (plus 500 km). The declination of northing axis relative to true north is shown on USGS topographic maps, as are the UTM coordinates. Many newer USGS maps show the UTM grid across the map. Nearly all commercial GPS receivers will display UTM coordinates in addition to or instead of latitude and longitude.
Datums and accuracy
It is tempting to read the numbers off a GPS unit and ignore just what in detail they mean. For many applications, this works fine. But this can produce serious errors in some applications. Although things like latitude, longitude, and elevation might seem well defined, in fact they have some slop. The Earth is more or less a flattened ellipsoid. You might think there would be a single best estimate of this shape, but if you try to estimate the dimensions of the ellipsoid from measurements over only part of the Earth, you find that you get slightly different ellipsoids for different areas. These yield different datums that define latitude and longitude. Nearly all USGS topographic maps are mapped to the CONUS 1927 datum for North America (also called the North American Datum of 1927). This was fine until satellite-based descriptions of the shape of the Earth were made and needed; the need for a single global datum led to the WGS 84 datum. GPS units usually use the 1984 World Geodetic System of 1984 (WGS 1984) as their default; this is virtually identical to the North American Datum of 1983 (GRS80 or NAD83). More recent USGS maps show the offset between the two datums; in Colorado this amounts to about 40 m. On most GPS receivers you can specify in which datum you wish your position reported.
A second error can result from misinterpreting the elevations that are being reported. GPS tends to work in height above a reference ellipsoid; this ellipsoid is a simple geometric figure that only approximates the Earth's surface. The geoid represents where sea level would be in any given spot; it is usually 10s of meters from the ellipsoid. For many applications it can be important to know whether your height is above the reference ellipsoid or above sea level.