Geometrical analysis of structural data collected at high South latitude: A modular arithmetic method that addresses meridional convergence
Abstract The convergence of meridians toward the South Pole causes unique problems for geometrical comparison of structural geological and geophysical datasets from Antarctica. The true North reference direction ordinarily is used for measuring and reporting vector data (strike, trend) in Antarctica...
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ftciteseerx:oai:CiteSeerX.psu:10.1.1.137.6431 2023-05-15T13:57:22+02:00 Geometrical analysis of structural data collected at high South latitude: A modular arithmetic method that addresses meridional convergence C. S. Siddoway M. F. Siddoway The Pennsylvania State University CiteSeerX Archives application/pdf http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.137.6431 http://pubs.usgs.gov/of/2007/1047/srp/srp061/of2007-1047srp061.pdf en eng http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.137.6431 http://pubs.usgs.gov/of/2007/1047/srp/srp061/of2007-1047srp061.pdf Metadata may be used without restrictions as long as the oai identifier remains attached to it. http://pubs.usgs.gov/of/2007/1047/srp/srp061/of2007-1047srp061.pdf text ftciteseerx 2016-01-07T14:46:45Z Abstract The convergence of meridians toward the South Pole causes unique problems for geometrical comparison of structural geological and geophysical datasets from Antarctica. The true North reference direction ordinarily is used for measuring and reporting vector data (strike, trend) in Antarctica, as elsewhere. However, over a latitude distance of just 100 km at 85 ° South, the angular difference in the true North direction exceeds 10°. Consequently, when performing a regional tectonic analysis of vector data (strike, trend) for structures such as faults, dike arrays, or geophysical lineaments oriented with respect to North at different sites, it is necessary to rotate the data to a common reference direction. A modular arithmetic function, performed as a spreadsheet calculation, offers the means to unify data sets from sites having different longitude position, by rotation to a common reference direction. The function is SC ≡ SM + ∆L (mod 360), where SC = converted strike; SM = measured strike; ∆L = angle in degrees longitude between reference longitude and study site; and 360, the divisor, is the number of degrees in Earth’s circumference. The method is used to evaluate 1) paleomagnetic rotation of the Ellsworth-Whitmore Mountains with respect to the Transantarctic Mountains, and 2) orogenic curvature of the Ross Orogen. Text Antarc* Antarctica South pole South pole Unknown Divisor ENVELOPE(-45.200,-45.200,-60.717,-60.717) South Pole Transantarctic Mountains Whitmore Mountains ENVELOPE(-104.000,-104.000,-82.500,-82.500) |
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English |
description |
Abstract The convergence of meridians toward the South Pole causes unique problems for geometrical comparison of structural geological and geophysical datasets from Antarctica. The true North reference direction ordinarily is used for measuring and reporting vector data (strike, trend) in Antarctica, as elsewhere. However, over a latitude distance of just 100 km at 85 ° South, the angular difference in the true North direction exceeds 10°. Consequently, when performing a regional tectonic analysis of vector data (strike, trend) for structures such as faults, dike arrays, or geophysical lineaments oriented with respect to North at different sites, it is necessary to rotate the data to a common reference direction. A modular arithmetic function, performed as a spreadsheet calculation, offers the means to unify data sets from sites having different longitude position, by rotation to a common reference direction. The function is SC ≡ SM + ∆L (mod 360), where SC = converted strike; SM = measured strike; ∆L = angle in degrees longitude between reference longitude and study site; and 360, the divisor, is the number of degrees in Earth’s circumference. The method is used to evaluate 1) paleomagnetic rotation of the Ellsworth-Whitmore Mountains with respect to the Transantarctic Mountains, and 2) orogenic curvature of the Ross Orogen. |
author2 |
The Pennsylvania State University CiteSeerX Archives |
format |
Text |
author |
C. S. Siddoway M. F. Siddoway |
spellingShingle |
C. S. Siddoway M. F. Siddoway Geometrical analysis of structural data collected at high South latitude: A modular arithmetic method that addresses meridional convergence |
author_facet |
C. S. Siddoway M. F. Siddoway |
author_sort |
C. S. Siddoway |
title |
Geometrical analysis of structural data collected at high South latitude: A modular arithmetic method that addresses meridional convergence |
title_short |
Geometrical analysis of structural data collected at high South latitude: A modular arithmetic method that addresses meridional convergence |
title_full |
Geometrical analysis of structural data collected at high South latitude: A modular arithmetic method that addresses meridional convergence |
title_fullStr |
Geometrical analysis of structural data collected at high South latitude: A modular arithmetic method that addresses meridional convergence |
title_full_unstemmed |
Geometrical analysis of structural data collected at high South latitude: A modular arithmetic method that addresses meridional convergence |
title_sort |
geometrical analysis of structural data collected at high south latitude: a modular arithmetic method that addresses meridional convergence |
url |
http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.137.6431 http://pubs.usgs.gov/of/2007/1047/srp/srp061/of2007-1047srp061.pdf |
long_lat |
ENVELOPE(-45.200,-45.200,-60.717,-60.717) ENVELOPE(-104.000,-104.000,-82.500,-82.500) |
geographic |
Divisor South Pole Transantarctic Mountains Whitmore Mountains |
geographic_facet |
Divisor South Pole Transantarctic Mountains Whitmore Mountains |
genre |
Antarc* Antarctica South pole South pole |
genre_facet |
Antarc* Antarctica South pole South pole |
op_source |
http://pubs.usgs.gov/of/2007/1047/srp/srp061/of2007-1047srp061.pdf |
op_relation |
http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.137.6431 http://pubs.usgs.gov/of/2007/1047/srp/srp061/of2007-1047srp061.pdf |
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Metadata may be used without restrictions as long as the oai identifier remains attached to it. |
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1766265054247780352 |