The transformation of a set of spherical harmonic coefficients characterizing a model of the geomagnetic field, or a general function defined on a sphere, subject to a rotation of the coordinate system, is given by the direct relations between the coefficients and then by using a numerical approach. The parameters for a pair of such rotations (from one set to another, and vice versa) are given, along with a few examples of their application. The method is particularly useful for the comparison of geophysical characteristics derived from models developed under different coordinate systems. It offers a practical solution to the problem, which can be implemented without difficulty.Published263-270N/A or not JCRreserve
The "global" representation of the geomagnetic field in terms of ordinary spherical harmonics (SHs) ...
<p>Any orientation of this field can be generated by the appropriate linear combinations of G1 and G...
A simple method is proposed for constructing a space-time model of the main magnetic field based on ...
A new analytical method for the computation of a truncated series of solid spherical harmonic coeffi...
Models of the geomagnetic field are mathematical expressions able to represent the Earth's magnetic ...
In this paper, the core idea of the conversion relationship between the ellipsoidal harmonic coeffic...
Reprinted from the Journal of Geophysical Research, Vol. 70, No. 9, May 1, 1965. p. 2171-2179.Resear...
Analytical expressions linking spherical harmonics gravity field expansions with ellipsoidal harmoni...
A set of functions is defined that can be used for modelling the internal part of the geomagnetic fi...
Transformation formulas in solid spherical harmonics for calculating forces between two homogeneous ...
International audienceThe normal-mode theory of a rotating earth model is based on the superposition...
The method of spherical cap harmonic analysis (SCHA), due to Haines (1985) is appropriate for region...
Geospace phenomena such as the aurora, plasma motion, ionospheric currents and associated magnetic f...
This model describes the Earth's vector lithospheric (or crustal ) magnetic field to about 40-km spa...
Various methods that take account of the potential nature of the field have been proposed for modell...
The "global" representation of the geomagnetic field in terms of ordinary spherical harmonics (SHs) ...
<p>Any orientation of this field can be generated by the appropriate linear combinations of G1 and G...
A simple method is proposed for constructing a space-time model of the main magnetic field based on ...
A new analytical method for the computation of a truncated series of solid spherical harmonic coeffi...
Models of the geomagnetic field are mathematical expressions able to represent the Earth's magnetic ...
In this paper, the core idea of the conversion relationship between the ellipsoidal harmonic coeffic...
Reprinted from the Journal of Geophysical Research, Vol. 70, No. 9, May 1, 1965. p. 2171-2179.Resear...
Analytical expressions linking spherical harmonics gravity field expansions with ellipsoidal harmoni...
A set of functions is defined that can be used for modelling the internal part of the geomagnetic fi...
Transformation formulas in solid spherical harmonics for calculating forces between two homogeneous ...
International audienceThe normal-mode theory of a rotating earth model is based on the superposition...
The method of spherical cap harmonic analysis (SCHA), due to Haines (1985) is appropriate for region...
Geospace phenomena such as the aurora, plasma motion, ionospheric currents and associated magnetic f...
This model describes the Earth's vector lithospheric (or crustal ) magnetic field to about 40-km spa...
Various methods that take account of the potential nature of the field have been proposed for modell...
The "global" representation of the geomagnetic field in terms of ordinary spherical harmonics (SHs) ...
<p>Any orientation of this field can be generated by the appropriate linear combinations of G1 and G...
A simple method is proposed for constructing a space-time model of the main magnetic field based on ...