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  • 1
    Electronic Resource
    Electronic Resource
    The exterior Airy/Heiskanen topographic–isostatic gravity potential, anomaly and the effect of analytical continuation in Stokes' formula (1998)
    Springer
    Journal of geodesy 72 (1998), S. 654-662 
    Details
    ISSN: 1432-1394
    Keywords: Key words. Analytical continuation ; Isostasy ; Stokes' formula
    Source: Springer Online Journal Archives 1860-2000
    Topics: Architecture, Civil Engineering, Surveying
    Notes: Abstract. This study deals with the external type of topographic–isostatic potential and gravity anomaly and its vertical derivatives, derived from the Airy/Heiskanen model for isostatic compensation. From the first and the second radial derivatives of the gravity anomaly the effect on the geoid is estimated for the downward continuation of gravity to sea level in the application of Stokes' formula. The major and regional effect is shown to be of order H 3 of the topography, and it is estimated to be negligible at sea level and modest for most mountains, but of the order of several metres for the highest and most extended mountain belts. Another, global, effect is of order H but much less significant
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/s001900050205
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  • 2
    Electronic Resource
    Electronic Resource
    On the indirect effect in the Stokes–Helmert method of geoid determination (1999)
    Springer
    Journal of geodesy 73 (1999), S. 87-93 
    Details
    ISSN: 1432-1394
    Keywords: Key words. Geoid ; Helmert condensation ; Indirect effect ; Remove ; restore
    Source: Springer Online Journal Archives 1860-2000
    Topics: Architecture, Civil Engineering, Surveying
    Notes: Abstract. The classical integral formula for determining the indirect effect in connection with the Stokes–Helmert method is related to a planar approximation of the sea level. A strict integral formula, as well as some approximations to it, are derived. It is concluded that the cap- size truncated integral formulas will suffer from the omission of some long-wavelength contributions, of the order of 50 cm in high mountains for the classical formula. This long-wavelength information can be represented by a set of spherical harmonic coefficients of the topography to, say, degree and order 360. Hence, for practical use, a combination of the classical formula and a set of spherical harmonics is recommended.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/s001900050222
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    Paper (German National Licenses)
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