Physics
Scientific paper
Dec 2008
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2008agufm.p11c1288s&link_type=abstract
American Geophysical Union, Fall Meeting 2008, abstract #P11C-1288
Physics
1541 Satellite Magnetics: Main Field, Crustal Field, External Field, 1595 Planetary Magnetism: All Frequencies And Wavelengths, 3260 Inverse Theory, 5734 Magnetic Fields And Magnetism, 6275 Saturn
Scientific paper
Using data from the Cassini spacecraft, we have created a new model of Saturn's magnetic field model that includes non-axisymmetric components. Previous solutions have not unambiguously resolved such components, instead being limited to (spin) axisymmetric components. We analyse the model using resolution analysis, error analysis and spectral analysis. We also examine Slepian basis functions in addition to the canonical spherical harmonics basis functions in an effort to negate the effects of the mostly equatorial coverage by the Cassini orbiter. Such poor coverage can lead to errors when using spherical harmonics as global support is required to achieve orthogonality over the whole sphere whereas Slepian functions, which are orthogonal over both the whole sphere and the region of data coverage, and which have their energy optimally concentrated in the spatial and spectral domain, may be able to obtain much better results. Our model was derived using a regularized weighted linear least-squares estimation of model coefficients in which we estimated internal and external coefficients simultaneously as opposed to assuming and subtracting out an external field of specific shape and size. While small, we investigate whether the non-axisymmetric signature is sufficient to use in an autocorrelation timeseries analysis of the magnetic field measurements to infer a rotation rate directly from the internally generated magnetic field.
Bloxham Jeremy
Sterenborg Glenn M.
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