Practical Computation of Gravity at High Altitudes

Far-zone contributions to the gravity field quantities by means of Molodensky’s truncation coefficients

“…Hotine's integral modified for computing the far-zone contribution by means of Molodensky's truncation coefficients is provided in Eq.(A.4). The relevant formulae for computing the far-zone contributions to the components of the deflection of the vertical can be found for instance in Hirvonen and Moritz (1963).…”

Simulation Studies on the Computation of the Gravity Vector in Space from Surface Data Considering the Topography of the Earth,

“…The theory behind these methods can be found in Hirvonen andMoritz (1963+: Heiskanen andMoritz (1967);Mueller (1966). The Direct Integration method is computationally the most difficult to use, but it requires the least amount of data, since the other two methods require -in addition to the gravity anomalies which are needed by all threegeoidal undulations, and deflections of the vertical on the physical surface of the earth.…”

“…Welused the same anomaly degree variances as in (Hirvonen and Moritz, 1963, p.54 The results are given in table 9.6, where we also list the truncation effects on 6 gr (from Hirvonen and Moritz, 1963, The truncation effects on 6g5 , and 59g in Hirvonen and Moritz (ibid) were incorrectly evaluated (cf. Hagiwara, 1972, p.457).…”

Far-zone gravity field contributions corrected for the effect of topography by means of molodensky’s truncation coefficients

“…A summary of the existing literature dealing with Stokes kernel modifications can be found, for instance, in Sjöberg and Hunegnaw (2001) and Evans and Featherstone (2001). Hirvonen and Moritz (1963) utilized Molodensky's truncation coefficients in deriving the formulae for the far-zone contributions to components of the deflection of the vertical. The truncation coefficients for the Poisson kernel were implemented by Witte (1967), Martinec (1996) and Huang (2002).…”