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Results

10 278 results (0,239s)

Result

Spacetime Modeling of the Earth's Gravity Field by Ellipsoidal Harmonics

! The result is an equilibrium figure of ellipsoidal type. A natural representation of the planetary bodies and their gravity fields has therefore to be in terms of ellipsoidal harmonics and ellipsoidal wavelets, a...

DE - Zemský magnetismus, geodesie, geografie

  • 2010
  • C
Result

On Computing Ellipsoidal Harmonics Using Jekeli´s Renormalization

Gravity data observed on or reduced to the ellipsoid are preferably represented using ellipsoidal harmonics instead of spherical harmonics. Ellipsoidal harmonics Legendre functions of the...

BN - Astronomie a nebeská mechanika, astrofyzika

  • 2012
  • Jx
  • Link
Result

Comments and corrections to: "Ellipsoidal spectral properties of the Earth's gravitational potential and its first and second derivatives" by Bölling and Grafarend (2005) in J.Geod. 79(6-7):300-330

-tangential tensor spherical harmonics are not orthogonal for different harmonic degrees and the same harmonic orders. Consequently, the corresponding solution of the spherical-normal, and normal-normal te...

Physical geography

  • 2023
  • JSC
  • Link
Result

Reproducing kernel for the exterior of an ellipsoid and its use for generating function bases in gravity field studies

is interpreted for the exterior of a sphere or an oblate ellipsoid of revolution. As a rule, spherical or ellipsoidal harmonics are used as basis functions within this concept a considerable attention. As known ba...

DE - Zemský magnetismus, geodesie, geografie

  • 2012
  • A
Result

An oblate ellipsoidal approach to update a high-resolution geopotential model over the oceans: Study case of EGM2008 and DTU10

signal over the Arctic oceans. The result of the procedure are the ellipsoidal and the spherical harmonic coefficients up to degree 4320 and 4400,We present a novel ellipsoidal approach for updating high-resolutio...

BN - Astronomie a nebeská mechanika, astrofyzika

  • 2016
  • Jx
  • Link
Result

Reproducing kernel and Neumann?s function for the exterior of an oblate ellipsoid of revolution: Application in gravity field studies

is interpreted for the exterior of a sphere or an oblate ellipsoid of revolution. As a rule, spherical or ellipsoidal harmonics are used as basis functions within this concept a considerable attention. As known ba...

DE - Zemský magnetismus, geodesie, geografie

  • 2012
  • D
Result

Reproducing kernel and Neumann?s function for the exterior of an oblate ellipsoid of revolution: Application in gravity field studies

is interpreted for the exterior of a sphere or an oblate ellipsoid of revolution. As a rule, spherical or ellipsoidal harmonics are used as basis functions within this concept a considerable attention. As known ba...

DE - Zemský magnetismus, geodesie, geografie

  • 2012
  • A
Result

Approximation representation of Legendre functions of the 1st and the 2nd kind for constructing Galerkin?s matrix and Earth?s gravity field modelling in the system of ellipsoidal coordinates

Similarly as spherical harmonics also ellipsoidal harmonics have a close tie equation. Ellipsoidal harmonics can be taken for a system produced by eigenfunctions ellipsoidal harmonics...

DE - Zemský magnetismus, geodesie, geografie

  • 2015
  • D
Result

Approximation representation of Legendre functions of the 1st and the 2nd kind for constructing Galerkin?s matrix and Earth?s gravity field modelling in the system of ellipsoidal coordinates

Similarly as spherical harmonics also ellipsoidal harmonics have a close tie equation. Ellipsoidal harmonics can be taken for a system produced by eigenfunctions ellipsoidal harmonics...

DE - Zemský magnetismus, geodesie, geografie

  • 2015
  • A
Result

Elementary potentials and Galerkin?s matrix for an ellipsoidal domain in the recovery of the gravity field

, the opposite is true. Ellipsoidal harmonics are applied as a natural tool. The problem to reduce the number of summation indices since in the ellipsoidal case there is no analogue to the addition theorem known for sph...

DE - Zemský magnetismus, geodesie, geografie

  • 2015
  • A
  • Link
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