Variational formulation of the geodetic boundary value problem

Details Variational formulation of the geodetic boundary value problem Variational formulation of the geodetic boundary value problem

Jun 1978

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978bgeod..52...93n&link_type=abstract

Bulletin Géodésique, Volume 52, Issue 2, pp.93-100

Statistics

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Scientific paper

A variational principle for the Stokesian boundary value problem is derived using the Euler-Lagrange theory. The resulting variational principle is then transformed into an equation determining the semi-major axis of the best fitting ellipsoid which fulfills the condition U 0 = W 0 . The computations using three different geopotential models yields the semi-major axis of the earth ellipsoid as a=6378145.4 metres for the flattening f=1/298.2564. The corresponding equatorial gravity and the geopotential number are computed as γa=978029.59 mgals and U 0= W 0=6.26367371 106 kgalmeters respectively.

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