RESEARCH NOTE: Orthogonality and mean squares of the vector fields given by spherical cap harmonic potentials

Details RESEARCH NOTE: Orthogonality and mean squares of the vector fields given by spherical cap harmonic potentials RESEARCH NOTE: Orthogonality and mean squares of the vector fields given by spherical cap harmonic potentials

Mar 1999

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1999geoji.136..781l&link_type=abstract

Geophysical Journal International, Volume 136, Issue 3, pp. 781-783.

Astronomy and Astrophysics

Astronomy

5

Geomagnetic Fields, Harmonic Potentials, Orthogonality, Spherical Cap Harmonics

Scientific paper

It is well known that the vector fields derived from spherical harmonics
are orthogonal over the sphere. It is now shown that the vector fields
derived from spherical cap harmonics are orthogonal over the cap, to the
same extent as the cap potentials are, and expressions are given for
their mean squares.

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