Open AccessAnalysis of the Regional Gravity Field in Tasmania using Orthogonalized Trigonometric Functions
Author(s) -
Johnson B. David
Publication year - 1974
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.1974.tb03640.x
Subject(s) - trigonometry , trigonometric series , fourier series , field (mathematics) , trigonometric functions , mathematics , position (finance) , component (thermodynamics) , geology , series (stratigraphy) , geodesy , mathematical analysis , geometry , pure mathematics , physics , paleontology , thermodynamics , finance , economics
Summary The regional component of the gravity field in Tasmania has been obtained by approximating a smoothed subset of the observed data by a terminated Fourier series. The trigonometric functions were orthogonalized with respect to the irregularly spaced data by the Gram‐Schmidt method. A coefficient set was obtained in terms of the original trigonometric functions to enable the regional component of the field to be calculated at any arbitrary position.