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Methods of harmonic synthesis for global geopotential models and their first-, second- and third-order gradients

Autor
Fantino, E.; Casotto, S.
Tipus d'activitat
Article en revista
Revista
Journal of geodesy
Data de publicació
2009-07
Volum
83
Número
7
Pàgina inicial
595
Pàgina final
619
DOI
https://doi.org/10.1007/s00190-008-0275-0 Obrir en finestra nova
URL
https://link.springer.com/article/10.1007%2Fs00190-008-0275-0 Obrir en finestra nova
Resum
Four widely used algorithms for the computation of the Earth’s gravitational potential and its first-, second- and third-order gradients are examined: the traditional increasing degree recursion in associated Legendre functions and its variant based on the Clenshaw summation, plus the methods of Pines and Cunningham–Metris, which are free from the singularities that distinguish the first two methods at the geographic poles. All four methods are reorganized with the lumped coefficients approa...
Paraules clau
Clenshaw summation, Helmholtz polynomials, associated Legendre functions, geopotential, gravitational gradients, gravity tensors, spherical harmonics
Grup de recerca
L'AIRE - Laboratori Aeronàutic i Industrial de Recerca i Estudis

Participants

  • Fantino, Elena  (autor)
  • Casotto, Stefano  (autor)