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Hydromagnetic waves in Earth's core and their influence on ...

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28 Chapter 2 — Space-time analysis(a) SPOTNB H after 320yrs(b) WAVENB H after 320yrs(c) TL plot of SPOTNB H at 10 ◦ S10.80.60.40.20−0.2−0.4−0.6−0.8−110.80.60.40.20−0.2−0.4−0.6−0.8−1(d) TL plot of WAVENB H at 10 ◦ S400140013500.83500.83000.63000.6Time (yrs)2502001501000.40.20−0.2−0.4−0.6Time (yrs)2502001501000.40.20−0.2−0.4−0.650−0.850−0.8−10−150 −120 −90 −60 −30 0 30 60 90 120 150L<strong>on</strong>gitude (degrees east)(e) FK plot of SPOTNB H at 10 ◦ S−10−150 −120 −90 −60 −30 0 30 60 90 120 150L<strong>on</strong>gitude (degrees east)(f) FK plot of WAVENB H at 10 ◦ SFrequency (cycles per year)0.010.0080.0060.0040.0020−10−9 −8 −7 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6 7 8 9 10W Z<strong>on</strong>al spatial wavenumber E(g) LAS plot from SPOTNB H8.57.56.55.54.53.52.51.50.50Frequency (cycles per year)0.010.0080.0060.0040.0020−10−9 −8 −7 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6 7 8 9 10W Z<strong>on</strong>al spatial wavenumber E42.537.532.527.522.517.512.57.52.50(h) LAS plot from WAVENB H−603−6030−302.5−3025Latitude (degrees)021.5Latitude (degrees)02015−301−3010− 600.5− 605−60 −40 −20 0 20 40 60−60 −40 −20 0 20 40 60Azimuthal Eastward speed z<strong>on</strong>al (km phase −1yr ), positive speed (km(yr) is eastwards−1 )Eastward z<strong>on</strong>al phase −1Azimuthal speed (km yr ), positive speed (km(yr) is eastwards−1 )Figure 2.6: Analysis of H from SPOTNB <str<strong>on</strong>g>and</str<strong>on</strong>g> WAVENB field models.SPOTNB c<strong>on</strong>ta<str<strong>on</strong>g>in</str<strong>on</strong>g>s an isolated drift<str<strong>on</strong>g>in</str<strong>on</strong>g>g field feature <str<strong>on</strong>g>and</str<strong>on</strong>g> WAVENB c<strong>on</strong>ta<str<strong>on</strong>g>in</str<strong>on</strong>g>s a m = 8azimuthally propagat<str<strong>on</strong>g>in</str<strong>on</strong>g>g wave. Plots (a) <str<strong>on</strong>g>and</str<strong>on</strong>g> (b) show H at the <str<strong>on</strong>g>core</str<strong>on</strong>g> surface after320years (these <str<strong>on</strong>g>and</str<strong>on</strong>g> all subsequent snapshots <str<strong>on</strong>g>in</str<strong>on</strong>g> this chapter are <str<strong>on</strong>g>in</str<strong>on</strong>g> Hammer-Aitoff mapprojecti<strong>on</strong>), (c) <str<strong>on</strong>g>and</str<strong>on</strong>g> (d) show time-l<strong>on</strong>gitude (TL) plots of the evoluti<strong>on</strong> of H at 10 ◦ S<str<strong>on</strong>g>and</str<strong>on</strong>g> (e), (f) the frequency-wavenumber (FK) power spectra |H| 2 at this latitude. (g) <str<strong>on</strong>g>and</str<strong>on</strong>g>(h) show the latitude-azimuthal speed (LAS) power plots of ∫ |H R | 2 dz.

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