Open AccessComments and Some Suggestions on Hunter's Formula of Reduction of Observed Values of Gravity to the Earth Model for use in Stokes's Integral
Author(s) -
Bhattacharji J. C.
Publication year - 1961
Publication title -
geophysical journal of the royal astronomical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.302
H-Index - 168
eISSN - 1365-246X
pISSN - 0016-8009
DOI - 10.1111/j.1365-246x.1961.tb00420.x
Subject(s) - sphericity , reduction (mathematics) , mathematics , geodesy , geophysics , geology , geometry
summary The reduction formula as evolved by Hunter, for reducing the observed values of gravity to the surface of the Earth model, is discussed and proved to be not quite accurate. The main defect involved appears to be due to his ignoring altogether the gravity effect on account of the sphericity of the Earth while dealing with the difference of attraction between the actual and model Earths. The corrected reduction formula posing again a delicate problem for geodesists, a suggestion is here made for a more convenient method of reduction based on a suitable isostatic hypothesis for use in the Stokes's integral without any real difficulty.