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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
Rok uplatnění
C - Kapitola v odborné knize
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
shows that under admissible approximations ellipsoidal harmonics may also be usedSimilarly as spherical harmonics also ellipsoidal harmonics have a close tie equation. Ellipsoidal ha...
DE - Zemský magnetismus, geodesie, geografie
- 2015 •
- D
Rok uplatnění
D - Stať ve sborníku
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
shows that under admissible approximations ellipsoidal harmonics may also be usedSimilarly as spherical harmonics also ellipsoidal harmonics have a close tie equation. Ellipsoidal ha...
DE - Zemský magnetismus, geodesie, geografie
- 2015 •
- A
Rok uplatnění
A - Audiovizuální tvorba
Construction of Galerkin’s Matrix for Elementary Potentials and an Ellipsoidal Solution Domain Based on Series Developments and General Relations between Legendre’s Functions of the first
functions generated by elementary potentials. Ellipsoidal harmonics are used of ellipsoidal harmonics is complemented by deeper relations contained in the theory ellipsoid of revolution as this is conside...
DE - Zemský magnetismus, geodesie, geografie
- 2016 •
- O
Rok uplatnění
O - Ostatní výsledky
Weak Solution Concept and Galerkin’s Matrix for the Exterior of an Oblate Ellipsoid of Revolution in the Representation of the Earth’s Gravity Potential by Buried Masses
(point masses) is discussed. Ellipsoidal harmonics are used as a natural tool and the elementary potentials are expressed by means of series of ellipsoidal harmonics harmonics. Therefore, the straightforw...
Applied mathematics
- 2017 •
- O •
- Link
Rok uplatnění
O - Ostatní výsledky
Výsledek na webu
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 ellipsoid of revolution. The approach follows the concept of variational methods and the notionof the weak solution. The solution of t...
DE - Zemský magnetismus, geodesie, geografie
- 2015 •
- A •
- Link
Rok uplatnění
A - Audiovizuální tvorba
Výsledek na webu
On the construction of Galerkin?s matrix for elementary potentials in case of an ellipsoidal solution domain in Earth?s gravity field studies
, the opposite is true. Ellipsoidal harmonics are applied as a natural tool. The problem ellipsoid of revolution. The approach follows the concept of variational methods and the notionof the weak solution. The solution of t...
DE - Zemský magnetismus, geodesie, geografie
- 2015 •
- D
Rok uplatnění
D - Stať ve sborníku
On the construction of Galerkin?s matrix for elementary potentials in case of an ellipsoidal solution domain in Earth?s gravity field studies
, the opposite is true. Ellipsoidal harmonics are applied as a natural tool. The problem ellipsoid of revolution. The approach follows the concept of variational methods and the notionof the weak solution. The solution of t...
DE - Zemský magnetismus, geodesie, geografie
- 2015 •
- A
Rok uplatnění
A - Audiovizuální tvorba
An approximation of ellipsoidal harmonics and the construction of Galerkin's matrix in studies on Earth's gravitational potential
this is not an adequate choice. Attempt is made to work with an ellipsoid of revolution. Ellipsoidal harmonics come into play. The structure of the kernels mentioned above similarly as of the entries of Galerkin?s matrix b...
DE - Zemský magnetismus, geodesie, geografie
- 2009 •
- A
Rok uplatnění
A - Audiovizuální tvorba
Fundamental solution of Laplace?s equation in oblate spheroidal coordinates and Galerkin?s matrix for Neumann?s problem in Earth?s gravity field studies
, the opposite is true. Ellipsoidal harmonics are applied as a natural tool. The problem ellipsoid of revolution. The approach follows the concept of variational methods and the notionof the weak solution. The solution of t...
DE - Zemský magnetismus, geodesie, geografie
- 2015 •
- A
Rok uplatnění
A - Audiovizuální tvorba
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