Dark Matter in Elliptical Galaxies

Table of contents :
Cover……Page 1
Title……Page 2
CONTENTS ……Page 4
Foreword ……Page 8
I.1 Classification of Galaxies ……Page 10
I.2 The Dark Matter Problem in Early-Type Galaxies ……Page 13
I.3 The Aim of This Book ……Page 19
1.1 Stellar Kinematics: Theoretical Approach ……Page 21
1.2.1 General Remarks ……Page 25
1.2.2 Sample 1 (1С 3370, 1С 1459) ……Page 26
1.2.3 Sample 2 (galaxies from the Fornax cluster: NGC 1336, NGC 1339, NGC 1373, NGC 1374, NGC 1379, NGC 1399, NGC 1404, NGC 1419). ……Page 34
1.2.4 Sample 3 (NGC 3379, NGC 4105) ……Page 37
1.2.5 Sample 4 (NGC 2434, NGC 3706, NGC 5018) ……Page 38
Detailed Jeans Modelling ……Page 55
Simple Jeans Modelling ……Page 58
Sample 1 (1С 3370, 1С 1459) ……Page 60
Sample 3 (NGC 3379, NGC 4105) ……Page 68
Sample 2 (galaxies from the Fornax cluster: NGC 1336, NGC 1339, NGC 1373, NGC 1374, NGC 1379, NGC 1399, NGC 1404, NGC 1419). ……Page 72
Sample 3 (NGC 3379, NGC 4105) ……Page 79
Sample 4 (NGC 2434, NGC 3706, NGC 5018) ……Page 81
2.2.1 Theoretical Introduction ……Page 83
Sample 1 (1С 3370, 1С 1459) ……Page 89
2.3 Summary of the Dynamical Modelling ……Page 92
3.1 Basic Concepts ……Page 93
3.2.1 Basic Data and Mass Estimates ……Page 97
3.2.2 Simple Jeans Modelling ……Page 105
3.3 Summary of the Galaxies with X Ray Haloes ……Page 112
4.1 Measurements ……Page 114
4.2 Modelling ……Page 118
5. Mass Estimates Based on Planetary Nebulae and Globular Clusters ……Page 131
5.1.1 Velocity Dispersion ……Page 132
5.1.2 Mass Estimates ……Page 133
5.2.1 Kinematics of GCs of NGC 1399 ……Page 134
5.2.3 Mass Estimates of NGC 1399 Based on GCs ……Page 139
5.2.4 Summary of the Results Related to NGC 1399 ……Page 146
5.3.4 X Ray Data for NGC 5128 ……Page 147
5.3.5 X Ray and Jeans Modelling ……Page 149
5.3.6 Mass Estimates of NGC 5128 Based on GCs and PNc ……Page 151
5.3.7 Summary of the Results Related to NGC 5128 ……Page 156
6. Conclusions ……Page 159
A1.1 Basic Concepts ……Page 165
A1.2 Discrete Ill-Posed Problems ……Page 167
A1.4 SVD and Generalized SVD ……Page 168
A1.5 The L-Curve ……Page 169
A1.7 Choice of the Rcgularization Parameter ……Page 171
A2 NNLS (Non-Negative Least Squares) ……Page 172
A3.1.1 Orbits in Spherical Potentials ……Page 174
A3.1.3 Potential-Density Pairs ……Page 175
A3.1.4 An Example ……Page 176
A3.1.6 Axisymmctric Potentials ……Page 177
A3.1.9 Orbits in Non-Axisymmctric Potentials ……Page 182
A3.2 Leapfrog Integrator ……Page 183
A4.1 Basic Concepts ……Page 188
A4.2 Application ……Page 189
A5 Fraction of the Total Flux as a Function of Radius ……Page 193
A6.1 Stellar Kinematics ……Page 196
A6.2 Line Strength Indices ……Page 213
References ……Page 224
Date-line……Page 229
Back cover……Page 230