A representation function for a distribution of points on the unit sphere-with applications to analyses of the distribution of virtual geomagnetic poles
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概要
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An arbitrary point distribution consisting of a finite number of points on a unit sphere may be completely and uniquely represented by an analytic function in the form of a spherical harmonic expansion. The applications of this representation function are illustrated in an analysis of the symmetries in the virtual geomagnetic pole (VGP) distribution of the polarity reversal records of the past 10 million years. We find that the longitudinal confinements in the VGP distribution are (a) persistent only in the equatorially symmetric part (of the non-zonal symmetries) of the VGP distribution and (b) strong along the east coast of the North American continent and weak along the longitudes of East Asia-Australia. We also find that the equatorially symmetric patterns in the VGP distribution appear to extend preferentially into the Pacific Ocean and are relatively depleted in the longitude band associated with Africa.
- 公益社団法人 日本地震学会、地球電磁気・地球惑星圏学会 、特定非営利活動法人 日本火山学会、日本測地学会、日本惑星科学会の論文
著者
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Hamano Yozo
Department Of Earth And Planetary Physics The University Of Tokyo
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BEVIS Michael
HIGP/SOEST, University of Hawaii
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Shao Ji-cheng
Department Of Earth And Planetary Science University Of Tokyo
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Fuller Michael
Higp/soest University Of Hawaii
関連論文
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- A representation function for a distribution of points on the unit sphere-with applications to analyses of the distribution of virtual geomagnetic poles