Spherical Cap Harmonic Analysis of the Geomagnetic Field with Application for Aeronautical Mapping
The Spherical Cap Harmonic Analysis (SCHA) is a regional modeling technique based on appropriate functions which are solutions of Laplace’s equation over a constrained, cap-like region of the Earth. The concept was introduced in 1985 in the context of geomagnetism as a local or regional extension of...
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ftingv:oai:www.earth-prints.org:2122/3948 2023-05-15T13:51:39+02:00 Spherical Cap Harmonic Analysis of the Geomagnetic Field with Application for Aeronautical Mapping SCHA of the Geomagnetic Field Torta, J. M. Gaya-Piqué, L. R. De Santis, A. Torta, J. M.; Observatori de l’Ebre, Roquetes, Spain Gaya-Piqué, L. R.; Istituto Nazionale di Geofisica e Vulcanologia, Sezione Roma2, Roma, Italia De Santis, A.; Istituto Nazionale di Geofisica e Vulcanologia, Sezione Roma2, Roma, Italia Rasson, J. L.; Institut Royal Météorologique de Belgique, Dourbes, Belgium Delipetrov, T.; Department of Geology and Geophysics, Faculty of Mining and Geology, 2000 Štip, Macedonia Observatori de l’Ebre, Roquetes, Spain Istituto Nazionale di Geofisica e Vulcanologia, Sezione Roma2, Roma, Italia Rasson, J. L. Delipetrov, T. Institut Royal Météorologique de Belgique, Dourbes, Belgium Department of Geology and Geophysics, Faculty of Mining and Geology, 2000 Štip, Macedonia 2006 http://hdl.handle.net/2122/3948 en eng Springer Netherlands Geomagnetics for aeronautical safety: a case study in and around the Balkans 978-1-4020-5023-7 http://hdl.handle.net/2122/3948 restricted SCHA geomagnetic field modeling spherical harmonics declination 04. Solid Earth::04.05. Geomagnetism::04.05.03. Global and regional models 04. Solid Earth::04.05. Geomagnetism::04.05.05. Main geomagnetic field 04. Solid Earth::04.05. Geomagnetism::04.05.08. Instruments and techniques book chapter 2006 ftingv 2022-07-29T06:04:55Z The Spherical Cap Harmonic Analysis (SCHA) is a regional modeling technique based on appropriate functions which are solutions of Laplace’s equation over a constrained, cap-like region of the Earth. The concept was introduced in 1985 in the context of geomagnetism as a local or regional extension of the classic global spherical harmonic analysis. Starting from the basic principles in which the analysis method is founded, this paper describes the latest applications for the modeling of the main magnetic field and its secular variation. Although examples of applications over small areas will be given, it will be shown that, in general, the bigger the region the more appropriate the technique. Therefore, this paper focuses on the results and perspectives over continental areas, like Antarctica or Europe. The possible application to the derivation of isogonic charts for navigational purposes with suitable time predictions will be emphasized. At the same time, the limitations of the method will be examined. Although recent revisions of the technique seem to solve some of the problems, our present research focuses on the quest for solutions to the still unanswered questions. Published 291-307 1.6. Osservazioni di geomagnetismo 3.4. Geomagnetismo 5.3. Banche dati di geomagnetismo, aeronomia, clima e ambiente reserved Book Part Antarc* Antarctica Earth-Prints (Istituto Nazionale di Geofisica e Vulcanologia) |
institution |
Open Polar |
collection |
Earth-Prints (Istituto Nazionale di Geofisica e Vulcanologia) |
op_collection_id |
ftingv |
language |
English |
topic |
SCHA geomagnetic field modeling spherical harmonics declination 04. Solid Earth::04.05. Geomagnetism::04.05.03. Global and regional models 04. Solid Earth::04.05. Geomagnetism::04.05.05. Main geomagnetic field 04. Solid Earth::04.05. Geomagnetism::04.05.08. Instruments and techniques |
spellingShingle |
SCHA geomagnetic field modeling spherical harmonics declination 04. Solid Earth::04.05. Geomagnetism::04.05.03. Global and regional models 04. Solid Earth::04.05. Geomagnetism::04.05.05. Main geomagnetic field 04. Solid Earth::04.05. Geomagnetism::04.05.08. Instruments and techniques Torta, J. M. Gaya-Piqué, L. R. De Santis, A. Spherical Cap Harmonic Analysis of the Geomagnetic Field with Application for Aeronautical Mapping |
topic_facet |
SCHA geomagnetic field modeling spherical harmonics declination 04. Solid Earth::04.05. Geomagnetism::04.05.03. Global and regional models 04. Solid Earth::04.05. Geomagnetism::04.05.05. Main geomagnetic field 04. Solid Earth::04.05. Geomagnetism::04.05.08. Instruments and techniques |
description |
The Spherical Cap Harmonic Analysis (SCHA) is a regional modeling technique based on appropriate functions which are solutions of Laplace’s equation over a constrained, cap-like region of the Earth. The concept was introduced in 1985 in the context of geomagnetism as a local or regional extension of the classic global spherical harmonic analysis. Starting from the basic principles in which the analysis method is founded, this paper describes the latest applications for the modeling of the main magnetic field and its secular variation. Although examples of applications over small areas will be given, it will be shown that, in general, the bigger the region the more appropriate the technique. Therefore, this paper focuses on the results and perspectives over continental areas, like Antarctica or Europe. The possible application to the derivation of isogonic charts for navigational purposes with suitable time predictions will be emphasized. At the same time, the limitations of the method will be examined. Although recent revisions of the technique seem to solve some of the problems, our present research focuses on the quest for solutions to the still unanswered questions. Published 291-307 1.6. Osservazioni di geomagnetismo 3.4. Geomagnetismo 5.3. Banche dati di geomagnetismo, aeronomia, clima e ambiente reserved |
author2 |
Torta, J. M.; Observatori de l’Ebre, Roquetes, Spain Gaya-Piqué, L. R.; Istituto Nazionale di Geofisica e Vulcanologia, Sezione Roma2, Roma, Italia De Santis, A.; Istituto Nazionale di Geofisica e Vulcanologia, Sezione Roma2, Roma, Italia Rasson, J. L.; Institut Royal Météorologique de Belgique, Dourbes, Belgium Delipetrov, T.; Department of Geology and Geophysics, Faculty of Mining and Geology, 2000 Štip, Macedonia Observatori de l’Ebre, Roquetes, Spain Istituto Nazionale di Geofisica e Vulcanologia, Sezione Roma2, Roma, Italia Rasson, J. L. Delipetrov, T. Institut Royal Météorologique de Belgique, Dourbes, Belgium Department of Geology and Geophysics, Faculty of Mining and Geology, 2000 Štip, Macedonia |
format |
Book Part |
author |
Torta, J. M. Gaya-Piqué, L. R. De Santis, A. |
author_facet |
Torta, J. M. Gaya-Piqué, L. R. De Santis, A. |
author_sort |
Torta, J. M. |
title |
Spherical Cap Harmonic Analysis of the Geomagnetic Field with Application for Aeronautical Mapping |
title_short |
Spherical Cap Harmonic Analysis of the Geomagnetic Field with Application for Aeronautical Mapping |
title_full |
Spherical Cap Harmonic Analysis of the Geomagnetic Field with Application for Aeronautical Mapping |
title_fullStr |
Spherical Cap Harmonic Analysis of the Geomagnetic Field with Application for Aeronautical Mapping |
title_full_unstemmed |
Spherical Cap Harmonic Analysis of the Geomagnetic Field with Application for Aeronautical Mapping |
title_sort |
spherical cap harmonic analysis of the geomagnetic field with application for aeronautical mapping |
publisher |
Springer Netherlands |
publishDate |
2006 |
url |
http://hdl.handle.net/2122/3948 |
genre |
Antarc* Antarctica |
genre_facet |
Antarc* Antarctica |
op_relation |
Geomagnetics for aeronautical safety: a case study in and around the Balkans 978-1-4020-5023-7 http://hdl.handle.net/2122/3948 |
op_rights |
restricted |
_version_ |
1766255661382893568 |