1990/01/01 by Reiner Rummel, R. Rummel, Roger Haagmans +1 · 1 citation
Biochemistry, Genetics and Molecular Biology · Earth and Planetary Sciences · Engineering · Mathematics · #Algorithm #Altimeter #Cartography #Computation #GNSS positioning and interference #Geodesy #Geography #Geoid #Geology #Geomagnetism and Paleomagnetism Studies #Geophysics #Geophysics and Gravity Measurements #Intersection (aeronautics) #Mathematics #Physics #Satellite #Smoothing #Statistics
paper · doi:10.1080/15210609009379641
crossref issued 1990/01/01 · crossref published 1990/01/01 · crossref published-print 1990/01/01 · openalex publication_date 1990/01/01 · crossref published-online 2009/01/10 · crossref created 2009/01/15 · crossref deposited 2025/02/06 · openalex created_date 2025/10/10 · crossref indexed 2026/07/30 · openalex updated_date 2026/07/31
A method for the computation of second derivatives Tuu, Tvv, and Tzz of the disturbance gravity potential from altimetric geoid profiles is proposed. Both the high precision and the data density in profile direction are optimally used when determining the second derivatives Tuu from ascending and Tvv from descending tracks. The differentiation is performed with smoothing cubic B‐splines. At the intersection points of the profiles ∂(δg)/∂z = −Tzz is determined by Laplace's equation. No gridding of data is needed. The method has been tested with Seasat data in the North Atlantic. The signal rms is of Tuu, Tvv is 7.4#lb10−9 s−2 that of Tzz 10.2#lb10−9 s−2.