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Mandea et.al. - The magnetic field changing over

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196<br />

4a<br />

4b<br />

THE MAGNETIC FIELD CHANGING OVER THE SOUTHERN AFRICAN CONTINENT<br />

Figure 4 Tempor<strong>al</strong> evolution for the magn<strong>et</strong>ic <strong>field</strong> components: D (declination) H (horizont<strong>al</strong> component) and F (tot<strong>al</strong> <strong>field</strong> intensity) and<br />

their secular variation for eight repeat stations distributed <strong>over</strong> the southern African continent (see Figure 1 for their spati<strong>al</strong> distribution).<br />

<strong>The</strong>se three satellite datas<strong>et</strong>s have been used for<br />

computing various models based on satellite data only,<br />

or by combining satellite data with ground data.<br />

<strong>The</strong> intern<strong>al</strong> part of the geomagn<strong>et</strong>ic <strong>field</strong> is gener<strong>al</strong>ly<br />

described mathematic<strong>al</strong>ly by a spheric<strong>al</strong> harmonic<br />

expansion. This is the representation of the magn<strong>et</strong>ic<br />

<strong>field</strong> potenti<strong>al</strong> as a series of multipoles: n=1 represents<br />

the dipole contribution, n=2 that from a quadrupole, n=3<br />

SOUTH AFRICAN JOURNAL OF GEOLOGY<br />

from octopole and so on. <strong>The</strong> degrees thus are a<br />

measure for spati<strong>al</strong> wavelength. At sm<strong>al</strong>ler degrees the<br />

<strong>field</strong> from the core is dominant. B<strong>et</strong>ween approximately<br />

degrees n=13 and 15, or 3000 to 2600 km wavelength,<br />

the observed <strong>field</strong> is strongly influenced by both core<br />

and lithospheric <strong>field</strong> contributions. For degrees larger<br />

than n=15, the short wavelengths of the core <strong>field</strong> are<br />

masked by the lithospheric sign<strong>al</strong>, and the long

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