Inhalt

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   Dedication
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   Abstract
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   Publications
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   Acknowledgments
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   Contents
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   List of Figures
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   List of Tables
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   Acronyms
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   Mars Magnetic Field
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  1 Overview
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   1.1 Magnetic field data
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   1.2 General properties of Mars' magnetic field
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   1.3 Models of the crustal magnetic field
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   1.4 Limits of published models
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  2 Open questions
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   2.1 Timing of the core dynamo
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   2.2 Magnetization of the Martian crust
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   2.3 Magnetic minerals
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   2.4 Magnetic dichotomy
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   2.5 Paleopoles
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   2.6 Magnetic lineations - plate tectonics ?
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   Data
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  3 MGS - Mission and Instruments
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   3.1 Overview of mission phases
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   3.2 The electron reflectometer (ER)
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   3.3 The fluxgate magnetometer (MAG)
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   3.4 Data pre-processing and calibration
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  4 Data Selection & Data Weights
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   4.1 MAG MPO data
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   4.2 MAG AB/SPO data
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   Inversion
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  5 General Linear Inversion
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   5.1 Basic principles of linear inversion
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   5.2 The least-squares solution
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   5.3 Model parameter confidence intervals
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   5.4 Model resolution
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   5.5 Regularization
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   5.6 General measures of misfit
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  6 Inversion of MAG data
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   6.1 Model description: Spherical Harmonics
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   6.2 Data inversion
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   6.3 Measure of data misfit
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   6.4 L1-regularization
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   6.5 Summary
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   Results
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  7 Model of the crustal field
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   7.1 Global magnetic field maps
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   7.2 Gauss coefficients and dipole moment
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   7.3 Power spectrum
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   7.4 Model parameter covariance matrix
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   7.5 Resolution matrix
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  8 Residuals
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   8.1 Statistics of the residuals
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   8.2 Spatial distribution of the residuals
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   8.3 Direct comparison to selected data
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  9 Comparison
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   9.1 Regularization parameter
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   9.2 Performance of the L1-norm
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   9.3 Performance of the Huber weights
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   9.4 Other published models
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   Application to open questions
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  10 Timing of the core dynamo
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   10.1 Magnetic signature of volcanoes
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   10.1.1 Apollinaris Patera
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   10.1.2 Tyrrhena Patera
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   10.1.3 Hadriaca Patera
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   10.1.4 Syrtis Major
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   10.1.5 Arabia Terra
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   10.1.6 Malea Planum
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   10.2 Magnetic signatures of impact craters
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   10.2.1 Large basins
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   10.2.2 Smaller craters
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   10.3 Summary
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   11 Magnetization and magnetic minerals
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  12 Isolated magnetic anomalies - Paleopoles
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   12.1 South Polar
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   12.2 Arcadia Planitia
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   Summary & Outlook
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   Appendix
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   A Nomenclature on Mars
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   Bibliography
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   Eidesstattliche Erklaerung
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   Curriculum Vitae