Orthometric height is the distance measured above the geoid. It is the height obtained by differential leveling from known starting points, and is the height used for everyday purposes (a.k.a. elevation).

Since the geoid is not a uniform surface, orthometric height will differ from ellipsoidal height, which is the height computed by GPS measurements. A GPS height measurement needs to be converted using a mathematical model that estimates the difference between the two heights. That difference is called the geoidal separation, geoidal height, or undulation of the geoid.

The mathematical relation between orthometric height, ellipsoidal height, and geoid height is:

h = H + N
h = ellipsoidal height
H = orthometric height
N = geoid height

The formula does not include the slight correction needed for the deflection of the vertical.
http://www.holoscenes.com/images/bmwiki/height.png

In the following example datasheet, the orthometric height is the NAVD 88 value shown near the top of the CURRENT SURVEY CONTROL section of the datasheet. At the benchmark location, the geoid lies 32.56 meters below the ellipsoid. That difference was computed using the GEOID09 mathematical model. Since GPS observations were taken at this station, the datasheet includes the ellipsoidal height.

 LY2920                         *CURRENT SURVEY CONTROL
 LY2920  ___________________________________________________________________
 LY2920* NAD 83(2007)-  41 02 35.79544(N)    074 37 59.60885(W)     ADJUSTED  
 LY2920* NAVD 88     -       214.384  (meters)     703.36   (feet)  ADJUSTED  
 LY2920  ___________________________________________________________________
 LY2920  EPOCH DATE  -        2002.00
 LY2920  X           -   1,276,642.643 (meters)                     COMP
 LY2920  Y           -  -4,645,341.750 (meters)                     COMP
 LY2920  Z           -   4,166,168.545 (meters)                     COMP
 LY2920  LAPLACE CORR-           3.95  (seconds)                    DEFLEC09
 LY2920  ELLIP HEIGHT-         181.790 (meters)          (02/10/07) ADJUSTED
 LY2920  GEOID HEIGHT-         -32.56  (meters)                     GEOID09
 LY2920  DYNAMIC HT  -         214.287 (meters)     703.04  (feet)  COMP
 LY2920
 LY2920  ------- Accuracy Estimates (at 95% Confidence Level in cm) --------
 LY2920  Type    PID    Designation                      North   East  Ellip
 LY2920  -------------------------------------------------------------------
 LY2920  NETWORK LY2920 19 R 1                            0.25   0.20   0.69
 LY2920  -------------------------------------------------------------------
 LY2920  MODELED GRAV-     980,168.5   (mgal)                       NAVD 88
 LY2920
 LY2920  VERT ORDER  -  SECOND    CLASS II
 LY2920
 LY2920.The horizontal coordinates were established by GPS observations
 LY2920.and adjusted by the National Geodetic Survey in February 2007.
 LY2920
 LY2920.The datum tag of NAD 83(2007) is equivalent to NAD 83(NSRS2007).
 LY2920.See National Readjustment for more information.
 LY2920.The horizontal coordinates are valid at the epoch date displayed above.
 LY2920.The epoch date for horizontal control is a decimal equivalence
 LY2920.of Year/Month/Day.
 LY2920
 LY2920.The orthometric height was determined by differential leveling and
 LY2920.adjusted in September 1996.
 ...
 LY2920.The Laplace correction was computed from DEFLEC09 derived deflections.
 LY2920
 LY2920.The ellipsoidal height was determined by GPS observations
 LY2920.and is referenced to NAD 83.
 LY2920
 LY2920.The geoid height was determined by GEOID09.
 LY2920
 LY2920.The dynamic height is computed by dividing the NAVD 88
 LY2920.geopotential number by the normal gravity value computed on the
 LY2920.Geodetic Reference System of 1980 (GRS 80) ellipsoid at 45
 LY2920.degrees latitude (g = 980.6199 gals.).

orthometric height (last edited 2010-04-20 11:50:13 by Holograph)