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WORKING WITH COORDINATES AND UNITS
(...continued)
As mentioned before many datums are
only defined for the horizontal plane and thus your gps will
continue to use the WGS-84 datum for vertical, altitude, information.
This datum defines zero height using a mathematical model
of an ellipsoid, which is basically a ellipse spun around
its minor axis to form a globe shape. The surface of this
ellipsoid is considered to represent zero altitude with points
above the ellipsoid representing positive altitude and points
within the model negative altitude. This model does not take
into consideration the many real life changes caused density
differences in the earth and earth motion. What we would prefer
is a measure of altitude that represents zero with sea level,
or more precisely mean sea level. To get this number your
gps uses a table that has been defined for just this purpose.
It is called a geoid and can permit the translation of gps
computed altitude to its mean sea level equivalent. It should
be pointed out that while we seem to have defined altitude
very accurately, a handheld gps is not a particularly accurate
device in measuring altitude. Because of the geometry of the
satellites in the sky and the fact that the earths surface
blocks our view of most of the constellation the accuracy
of a vertical fix is about 50% worse than the accuracy of
a horizontal fix. Unfortunately this is often disconcerting
to the user since they generally know their altitude to better
accuracy than they know their horizontal location and even
may measure it with more precision (feet vs. miles). Do not
let this difference cause you to believe the gps itself is
not reporting an accurate fix.
Translations among the various datums
can be a cause of some errors. Garmin used the the Molodensky
transform parameters for those datums and performs transformations
as needed. This is a simplified model and can result in errors
on the order of 10 meters in some cases. With this transform
the WGS-84 and NAD-83 numbers are always the same while a
better translation will show a slight difference in these
two datums. For most of the US this difference is less than
a meter rising to about 2 meters on the west coast. Still
less difference than the accuracy of the unit in most cases.
Modeling something as complicated as the earth does not lend
itself to mathematical transformations so to achieve accurate
results some information is contained in tables with model
information used to access the entry in the table which is
then interpolated to get the answer. It is not known where
Garmin depends on models alone and where they supplement with
tables.
WGS-84
WGS-84 is a world wide datum and is
the master datum for use with a gps. Garmin always stores
internal information in this datum. The origin is the center
of the earth and then a ellipse is defined using the major
and minor axis. Information about ellipse flattening and the
gravitational constant is also part of the definition. The
latter is used to calculate the geoid height. The model is
augmented with stations at precisely defined locations on
the earth's surface to pinpoint the accuracy of this system.
As more and more mapping systems have
become digital in nature and databases have begun to be the
norm for surveying there is a tendency to use the WGS-84 datum
more and more. This is exacerbated by a need to share data
from around the world that was originally generated on a different
datum. Hopefully this trend will continue as it simplifies
data sharing and reuse of information.
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