1. Orthometric Height (H):
* Definition: The height above the geoid, which is an equipotential surface that approximates mean sea level.
* Used for: Topographic maps, engineering projects, and general elevation measurements.
* Measurement: Determined through leveling surveys, which measure the difference in height between points along a line.
2. Ellipsoidal Height (h):
* Definition: The height above the reference ellipsoid, which is a mathematical model of the Earth's shape.
* Used for: GPS and other satellite-based positioning systems.
* Measurement: Determined by using GPS data and converting the geodetic coordinates (latitude, longitude, and ellipsoidal height) to orthometric heights.
3. Geopotential Height (C):
* Definition: The height based on the gravitational potential of the Earth, representing the work required to lift a unit mass from a reference surface to the point in question.
* Used for: Atmospheric studies, oceanography, and geodetic research.
* Measurement: Calculated using gravity measurements and a reference potential value.
4. Normal Height (HN):
* Definition: The height above the telluroid, which is a hypothetical surface that is everywhere perpendicular to the gravity vector and has the same potential as the geoid.
* Used for: Geodetic research and precise leveling.
* Measurement: Calculated using gravity measurements and a reference geopotential value.
5. Dynamic Height (HD):
* Definition: The height based on the dynamic geoid, which is a surface defined by a constant value of the geopotential.
* Used for: Oceanographic research and studying the Earth's gravity field.
* Measurement: Calculated using gravity measurements and a reference dynamic geoid value.
6. Gravity Height (Hg):
* Definition: The height based on the gravity potential, accounting for the variation of gravity with latitude and altitude.
* Used for: Precise leveling, surveying, and geodetic research.
* Measurement: Calculated using precise gravity measurements.
Differences and Importance:
It is important to understand the differences between these height systems and their respective applications. Using the wrong type of height for a specific application can lead to significant errors and inaccuracies. For example, GPS measurements provide ellipsoidal height, which needs to be converted to orthometric height for most practical uses.
The choice of the appropriate height system depends on the specific application, the required accuracy, and the available data.