Please use this identifier to cite or link to this item:
http://hdl.handle.net/2122/1617| DC Field | Value | Language |
|---|---|---|
| dc.contributor.authorall | Moritz, H.; Physical Geodesy, University of Technology, Graz, Austria | en |
| dc.date.accessioned | 2006-09-11T08:02:44Z | en |
| dc.date.available | 2006-09-11T08:02:44Z | en |
| dc.date.issued | 1997-10 | en |
| dc.identifier.uri | http://hdl.handle.net/2122/1617 | en |
| dc.description.abstract | The problems of convergence of series in celestial mechanics and of certain series in geodesy (Molodensky's series and spherical harmonics) show similar features, involving a curious instability. This is imaginatively expressed as the « butterfly effect» in chaos theory and the «sand-grain effect» for spherical harmonics. Similarly, the geodetic boundary-value problem (M.S. Molodensky, L. Hormander) and the KAM problem in nonlinear dynamics have a common mathematical structure: a «hard» inverse function problem. Such interrelations are reviewed in the present paper. | en |
| dc.format.extent | 1797760 bytes | en |
| dc.format.mimetype | application/pdf | en |
| dc.language.iso | English | en |
| dc.relation.ispartofseries | 5/40 (1997) | en |
| dc.subject | Geodesy | en |
| dc.subject | geophysics | en |
| dc.subject | gravity field | en |
| dc.subject | instability | en |
| dc.subject | chaos theory | en |
| dc.title | The sand grain and the butterfly. Instability in geodesy and geophysics | en |
| dc.type | article | en |
| dc.type.QualityControl | Peer-reviewed | en |
| dc.subject.INGV | 04. Solid Earth::04.02. Exploration geophysics::04.02.99. General or miscellaneous | en |
| dc.description.journalType | JCR Journal | en |
| dc.description.fulltext | open | en |
| dc.contributor.author | Moritz, H. | en |
| dc.contributor.department | Physical Geodesy, University of Technology, Graz, Austria | en |
| item.openairetype | article | - |
| item.cerifentitytype | Publications | - |
| item.languageiso639-1 | en | - |
| item.grantfulltext | open | - |
| item.openairecristype | http://purl.org/coar/resource_type/c_18cf | - |
| item.fulltext | With Fulltext | - |
| crisitem.author.dept | Physical Geodesy, University of Technology, Graz, Austria | - |
| crisitem.classification.parent | 04. Solid Earth | - |
| Appears in Collections: | Annals of Geophysics | |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| 33 moritz.pdf | 1.76 MB | Adobe PDF | View/Open |
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