Record details

Title
    On the determination of the Earth's model - the mean equipotential surface
Statement of responsibility
    Milan Burša, G.V. Demjanov, M.I. Jurkina
Author
    Burša, Milan
    Demjanov, G. V.
    Jurkina, M. I.
Language
    anglicky
Source title - serial
    Studia geophysica et geodaetica
Vol./nr.
    Vol. 42, no. 4
Pages
    p. 467-471
Year
    1998
Notes
    Obsahuje bibliografické odkazy
    Zkr. název ser.: Stud. geophys. geod. (Praha)
Subject group
    geoid
    model matematický
    planeta Země
    tvar Země
Geographical name
    Země
Keyword
    Determination
    Earth's
    Equipotential
    Mean
    Model
    Surface
Abstract (in english)
   The sea surface cannot be used as reference for Major Vertical Datum definition because its deviations from the ideal equipotential surface are very large compared to rms in the observed quantities. The quasigeoid is not quite suitable as the surface representing the most accurate Earth's model without some additional conditions, because it depends on the reference field. The normal Earth's model represented by the rotational level ellipsoid can be defined by the geocentric gravitational constant, the difference in the principal Earth's inertia moments, by the angular velocity of the Earth' rotation and by the semimajor axis or by the potential (Uo) on the surface of the level ellipsoid. After determination the geopotential at the gauge stations defining Vertical Datums, gravity anomalies and heights should be transformed into the unique vertical system (Major Vertical Datum).
   This makes it possible to apply Brovar's (1995) idea of determining the reference ellipsoid by minimizing the integral, introduced by Riemann as the Dirichlet principle, to reach a minimum rms anomalous gravity field. Since the semimajor axis depends on tidal effects, potential U0 should be adopted as the fourth primary fundamental geodetic constant. The equipotential surface, the actual geopotential of which is equal to Uo, can be adopted as reference for realizing the Major Vertical Datum
Contributor
    Česká geologická služba
Contributor code
    ČGS (UNM)
Source format
    U
Entered date
    28. 3. 2008
Import date
    8. 8. 2012