Open AccessThe Reduction of Gravity Observations
Author(s) -
Jeffreys Harold
Publication year - 1959
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.1959.tb05779.x
Subject(s) - allowance (engineering) , geoid , geodesy , orthogonality , weighting , reduction (mathematics) , standard error , systematic error , base (topology) , mathematics , gravity of earth , standard deviation , error analysis , geology , statistics , geophysics , mathematical analysis , geometry , physics , gravitational field , classical mechanics , engineering , mechanical engineering , acoustics , measured depth
Summary The values of the Earth's ellipticity given by artificial satellites and by the analysis of gravity differ by about three times the standard error, Investigation of the possible effects of non‐orthogonality between P 2 , P 3 and P 4 in the normal equations suggests that allowance for it would not multiply the standard error by more than 1·, and that the explanation is more likely to lie in the comparison of base stations. The method of weighting used in the determination of the geoid by Heiskanen is criticized as leading to serious systematic error.