Abstract
There are several methods for the determination of the geoid
and are in service around the world. One of the most advantageous methods is
the approach of Stokes-Helmert developed at the University of New Brunswick
(UNB) in Canada. In Stokes's theory, the geodetic boundary value problem (GBVP)
of third kind is formulated under the conditions of harmonicity of the
disturbing potential and absence of topographical masses outside the boundary
surface which is the geoid. In practice, these conditions cannot be carried out
exactly and, so of the simplifying assumptions on the density of topographical
masses and the Poisson's integral are introduced for obtaining the solution of
the problem. The reformulation of the GBVP in «Helmert's space»
allows modeling better of topography and thus leads to a more precise estimate
of the solution. The objective of this report consists in using the
Stokes-Helmert scheme for the definition of the BVP and expressing the gravity
anomaly in Helmert space. This will require holding account rigorously, in the
determination of the solution, the direct topographic and atmospheric effect,
the ellipsoidal corrections and the «downward continuation» of the
gravity anomaly.
Key words: gravity Anomaly - atmospheric effect
- topographic effect - Geoid - gravitational Potential - geodetic boundary
value problem.
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LAISII
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