The pulsations of the sun and the stars:
Gespeichert in:
| Weitere beteiligte Personen: | |
|---|---|
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
Berlin [u.a.]
Springer
2011
|
| Schriftenreihe: | Lecture notes in Physics
832 |
| Schlagwörter: | |
| Links: | http://deposit.dnb.de/cgi-bin/dokserv?id=3672060&prov=M&dok_var=1&dok_ext=htm http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024371977&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Umfang: | XV, 344 S. Ill., graph. Darst. |
| ISBN: | 3642199275 9783642199271 |
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Datensatz im Suchindex
| _version_ | 1819308493842153472 |
|---|---|
| adam_text | IMAGE 1
CONTENTS
PART I GENERAL OVERVIEW ADVANCES IN GLOBAL AND LOCAL HELIOSEISMOLOGY: AN
INTRODUCTORY REVIEW 1.1
1.2 1.3
1.4
3
INTRODUCTION 3
BRIEF HISTORY OF HELIOSEISMOLOGY 5
BASIC PROPERTIES OF SOLAR OSCILLATIONS 11
1.3.1 OSCILLATION POWER SPECTRUM 11
.3.2 EXCITATION BY TURBULENT CONVECTION 13
.3.3 LINE ASYMMETRY AND PSEUDO-MODES 14
.3.4 MAGNETIC EFFECTS: SUNSPOT OSCILLATIONS AND ACOUSTIC HALOS 17
.3.5 IMPULSIVE EXCITATION: SUNQUAKES 20
GLOBAL HELIOSEISMOLOGY 23
.4.1 BASIC EQUATIONS 23
.4.2 JWKB SOLUTION 29
.4.3 DISPERSION RELATIONS FOR P- AND G-MODES 31
.4.4 FREQUENCIES OF P- AND G-MODES 32
.4.5 ASYMPTOTIC RAY-PATH APPROXIMATION 34
.4.6 DUVALL S LAW 37
.4.7 ASYMPTOTIC SOUND-SPEED INVERSION 37
.4.8 SURFACE GRAVITY WAVES (F-MODE) 41
.4.9 THE SEISMIC RADIUS 42
1.5 GENERAL HELIOSEISMIC INVERSE PROBLEM 44
.5.1 VARIATIONAL PRINCIPLE 45
.5.2 PERTURBATION THEORY 45
.5.3 KERNEL TRANSFORMATIONS 46
.5.4 SOLUTION OF INVERSE PROBLEM 48
.5.5 OPTIMALLY LOCALIZED AVERAGES METHOD 49
1.5.6 INVERSION RESULTS FOR SOLAR STRUCTURE 50
BIBLIOGRAFISCHE INFORMATIONEN HTTP://D-NB.INFO/1010119400
DIGITALISIERT DURCH
IMAGE 2
CONTENTS
1.5.7 REGULARIZED LEAST-SQUARES METHOD 53
1.5.8 INVERSIONS FOR SOLAR ROTATION 54
1.5.9 RESULTS FOR SOLAR ROTATION 55
1.6 LOCAL-AREA HELIOSEISMOLOGY 58
1.6.1 BASIC PRINCIPLES 58
1.6.2 RING-DIAGRAM ANALYSIS 58
1.6.3 TIME-DISTANCE HELIOSEISMOLOGY (SOLAR TOMOGRAPHY) 60
1.6.4 ACOUSTIC HOLOGRAPHY AND IMAGING 60
1.7 SOLAR TOMOGRAPHY 61
1.7.1 TIME-DISTANCE DIAGRAM 64
1.7.2 WAVE TRAVEL TIMES 64
1.7.3 DEEP- AND SURFACE-FOCUS MEASUREMENT SCHEMES 67
1.7.4 SENSITIVITY KERNELS: RAY-PATH APPROXIMATION 67 1.7.5 BORN
APPROXIMATION 70
1.8 INVERSION RESULTS OF SOLAR ACOUSTIC TOMOGRAPHY 71
1.8.1 DIAGNOSTICS OF SUPERGRANULATION 72
1.8.2 STRUCTURE AND DYNAMICS OF SUNSPOT 72
1.8.3 LARGE-SCALE AND MERIDIONAL FLOWS 74
1.9 CONCLUSION AND OUTLOOK 75
1.9.1 GLOBAL HELIOSEISMOLOGY: DIAGNOSTICS OF GLOBAL CHANGES INSIDE THE
SUN 79
1.9.2 LOCAL-AREA HELIOSEISMOLOGY: 3D IMAGING OF THE SOLAR INTERIOR 79
REFERENCES 80
PART II SECTION 1: THE SUN AS A STAR
2 THE QUIET SOLAR PHOTOSPHERE: DYNAMICS AND MAGNETISM 87 2.1
INTRODUCTION 88
2.2 SOLAR SURFACE FLOWS 88
2.2.1 THE SOLAR GRANULATION 88
2.2.2 THE SOLAR MESOGRANULATION 90
2.2.3 THE SOLAR SUPERGRANULATION 91
2.2.4 THE POWER SPECTRUM OF PHOTOSPHERIC FLOWS 93 2.2.5 NUMERICAL
SIMULATION OF THE SOLAR CONVECTION; ORIGIN OF THE GRANULATION 93
2.2.6 ORIGIN OF THE SOLAR MESOGRANULATION 96
2.2.7 ORIGIN OF THE SOLAR SUPERGRANULATION 98
2.3 MAGNETIC FIELD IN THE QUIET PHOTOSPHERE 99
2.3.1 INTRODUCTION 99
2.3.2 THE PHOTOSPHERIC NETWORK 101
IMAGE 3
CONTENTS XI
2.3.3 OBSERVATION OF THE PHOTOSPHERIC NETWORK IN THE G-BAND AT 4,305 A
105
2.3.4 INTRANETWORK MAGNETIC FIELD 106
2.3.5 HORIZONTAL COMPONENT OF THE INTRANETWORK MAGNETIC FIELD AND
GRANULAR MAGNETIC FIELD 108 2.3.6 PHYSICAL PROPERTIES OF THE
INTRANETWORK MAGNETIC FIELD AND COMPARISON WITH THE PROPERTIES OF THE
NETWORK FIELD 109
2.3.7 HIDDEN TURBULENT FLUX I LL
2.3.8 NUMERICAL SIMULATIONS OF SMALL-SCALE MAGNETO-CONVECTION I LL
2.3.9 SMALL-SCALE DYNAMO: A POSSIBLE ORIGIN OF THE SMALL-SCALE MAGNETIC
FIELD 114
2.3.10 ORIGIN OF THE PHOTOSPHERIC NETWORK 115
2.3.11 CONCLUSION 116
REFERENCES 117
3 MODELING AND PREDICTION OF SOLAR CYCLES USING DATA ASSIMILATION
METHODS 121
3.1 INTRODUCTION 121
3.2 FORMULATION OF THE DYNAMO MODELS 122
3.2.1 PARKER S MIGRATORY DYNAMO 122
3.2.2 THE KLEEORIN-RUZMAIKIN MODEL 123
3.2.3 PERIODIC AND CHAOTIC SOLUTIONS 126
3.3 DATA ASSIMILATION METHODS 129
3.3.1 BASIC FORMULATION 129
3.3.2 IMPLEMENTATION OF THE DATA ASSIMILATION METHOD 130
3.4 REPRODUCING AND PREDICTING OBSERVATIONAL DATA BY THE ENSEMBLE KAIMAN
FILTER 131
3.4.1 APPLICATION DATA ASSIMILATION TO EARLY SUNSPOT DATA 132
3.4.2 PREDICTION OF THE LAST SOLAR CYCLES 133
3.5 DISCUSSION AND CONCLUSIONS 135
REFERENCES 136
4 AMPLITUDES OF SOLAR GRAVITY MODES 139
4.1 MOTIVATIONS 139
4.2 BASIC PROPERTIES OF SOLAR GRAVITY MODES 140
4.2.1 DISPERSION RELATION OF GRAVI TO-ACOUSTIC MODES . .. 140 4.2.2 SOME
G MODE PROPERTIES NEAR THE SUN SURFACE . . . 142 4.3 ENERGETIC OF
GRAVITY MODES: DRIVING AND DAMPING PROCESSES 144
4.3.1 PRINCIPLE: FORCED AND DAMPED OSCILLATOR 144
IMAGE 4
XII CONTENTS
4.3.2 DRIVING MECHANISMS 145
4.3.3 SOURCES OF DAMPING {RJ) 147
4.4 THEORETICAL ESTIMATES ON G MODE AMPLITUDES 151
4.4.1 COMPUTATION BASED ON THE EQUIPARTITION ASSUMPTION 152
4.4.2 FULL COMPUTATION OF MODE DRIVING AND DAMPING 153
4.4.3 THE SPECIAL CASE OF ASYMPTOTIC G MODES 154
4.4.4 DISCUSSION 155
4.5 PENETRATIVE CONVECTION 156
4.6 CONCLUDING REMARKS 157
REFERENCES 158
5 UNVEILING STELLAR CORES AND MULTIPOLE MOMENTS VIA THEIR FLATTENING 161
5.1 RELATING ROTATION AND MEASURED FLATTENING 162
5.2 MEASUREMENTS OF THE FLATTENING OF THE SUN AND STARS 163 5.2.1
FLATTENING OF THE SUN 163
5.2.2 FLATTENING OF STARS 164
5.3 DIFFERENT MODELS OF UNIFORMLY ROTATING BODY 164
5.3.1 MODEL FOR CENTRALLY CONDENSED BODY 165
5.3.2 MODEL FOR A BODY OF CONSTANT DENSITY 168
5.3.3 THE GENERALIZED ROCHE MODEL: STARS WITH A CONVECTIVE ZONE AND
MASSLESS ENVELOPE 168 5.3.4 POLYTROPIC MODEL OF UNIT INDEX N 169
5.4 INTRODUCING DIFFERENTIAL ROTATION 170
5.4.1 SOLAR CASE 170
5.4.2 DIFFERENTIAL ROTATION ON STARS 172
5.5 MOMENTS OF INERTIA 173
5.6 CONCLUSION 175
5.7 COMPUTATIONS FOR THE SOLAR CASE 177
5.7.1 RESULTS 177
REFERENCES 180
PART III FROM HELIOSISMOLOGY TO ASTEROSISMOLOGY
6 FROM HELIOSEISMOLOGY TO ASTEROSEISMOLOGY: SOME RECENT DEVELOPMENTS 185
6.1 INTRODUCTION 185
6.2 BASICS OF STELLAR OSCILLATIONS 186
6.2.1 SOME HYDROHYDRODYNAMICS 187
6.2.2 LINEAR PERTURBATIONS 188
IMAGE 5
CONTENTS
6.2.3 SEPARATION OF VARIABLES 188
6.2.4 NON-RADIAL ADIABATIC OSCILLATIONS 190
6.3 THE ASYMPTOTIC THEORY AND DEVIATIONS FROM IT 191
6.3.1 THE ASYMPTOTIC THEORY 192
6.3.2 DEVIATIONS FROM THE ASYMPTOTIC THEORY 193
6.3.3 SECOND DIFFERENCES 193
6.4 TWO EXAMPLES OF SEISMIC ANALYSES FOR MAIN SEQUENCE STARS 195
6.4.1 THE STAR I HOR 196
6.4.2 THE STAR P ARAE 197
6.5 CONCLUSIONS 199
REFERENCES 199
PART IV SECTION 2: STELLAR PULSATIONS
7 ISSUES RELATING TO OBSERVABLES OF RAPIDLY ROTATING STARS 203 7.1
INTRODUCTION 203
7.2 MODELLING TOOLS 205
7.3 RESULTS FROM ROTATING STELLAR MODELS 208
7.3.1 STRUCTURAL RESULTS 208
7.3.2 SEDS 210
7.3.3 LINE PROFILES 213
7.3.4 PULSATION FREQUENCIES 216
7.4 FINAL COMMENTS 218
REFERENCES 219
8 SEISMIC DIAGNOSTICS FOR ROTATING MASSIVE MAIN SEQUENCE STARS 223
8.1 INTRODUCTION 223
8.2 MASSIVE MAIN SEQUENCE STARS 224
8.2.1 SS CEPHEI STARS 225
8.3 THEORETICAL FRAMEWORK 228
8.3.1 NO ROTATION 228
8.3.2 INCLUDING ROTATION 230
8.3.3 ROTATIONAL SPLITTINGS 230
8.3.4 SPLITTING ASYMMETRIES: DISTORTION 232
8.3.5 AXISYMMETRIC MODES: ROTATIONALLY INDUCED MIXING 235
8.4 SEISMIC ANALYSES OF FOUR SS CEPHEI STARS 237
8.4.1 ROTATIONAL SPLITTINGS 238
8.4.2 SPLITTING ASYMMETRIES: DISTORTION 240
8.4.3 AXISYMMETRIC MODES: MIXING 242
IMAGE 6
XIV CONTENTS
8.5 CUBIC ORDER VERSUS LATITUDINAL DEPENDENCE 245
8.5.1 LATITUDINAL DEPENDENCE 247
8.5.2 LATITUDINAL DEPENDENCE VERSUS CUBIC ORDER EFFECTS 249
8.6 CONCLUSIONS 251
8.7 APPENDIX: DIFFERENTIAL ROTATION 251
REFERENCES 256
9 ASYMPTOTIC THEORY OF STELLAR OSCILLATIONS BASED ON RAY DYNAMICS 259
9.1 INTRODUCTION 259
9.2 WAVE EQUATIONS AND RAY MODELS 261
9.3 REGULAR VERSUS IRREGULAR ENERGY LEVEL SPECTRA IN QUANTUM SYSTEMS 266
9.3.1 REGULAR SPECTRUM 266
9.3.2 IRREGULAR SPECTRUM 267
9.4 APPLICATION TO THE ASYMPTOTIC THEORY OF ACOUSTIC MODES IN RAPIDLY
ROTATING STARS 270
9.5 CONCLUSIONS 273
REFERENCES 274
10 ANGULAR MOMENTUM TRANSPORT BY REGULAR GRAVITO-INERTIAL WAVES IN
STELLAR RADIATION ZONES 275
10.1 CONTEXT AND MOTIVATION 275
10.2 STRUCTURE OF LOW-FREQUENCY WAVES INFLUENCED BY THE CORIOLIS
ACCELERATION 277
10.2.1 DYNAMICAL EQUATIONS 278
10.2.2 MAIN ASSUMPTIONS 280
10.2.3 WAVE PRESSURE AND VELOCITY FIELDS 282
10.2.4 THE TRADITIONAL APPROXIMATION IN THE CASE OF A GENERAL
DIFFERENTIAL ROTATION 285
10.3 TRANSPORT OF ANGULAR MOMENTUM 285
10.3.1 ACTION OF ANGULAR MOMENTUM 285
10.3.2 TRANSPORT OF ANGULAR MOMENTUM BY THE WAVES: THE SHEAR LAYER
OSCILLATION AND SECULAR EFFECTS . . 287 10.4 THE WEAK DIFFERENTIAL
ROTATION CASE 289
10.4.1 DEFINITIONS 289
10.4.2 WAVE PRESSURE AND VELOCITY FIELDS 290
10.4.3 ANGULAR MOMENTUM TRANSPORT IN THE WEAK DIFFERENTIAL ROTATION
CASE 296
10.5 ON THE TRACK OF THE EXCITED SPECTRUM 299
10.6 CONCLUSION 300
REFERENCES 301
IMAGE 7
CONTENTS XV
11 STOCHASTIC EXCITATION OF ACOUSTIC MODES IN STARS 305
11.1 INTRODUCTION 305
11.2 MODE ENERGY 307
11.3 SEISMIC CONSTRAINTS 308
11.3.1 SOLAR SEISMIC CONSTRAINTS 310
11.3.2 STELLAR SEISMIC CONSTRAINTS 310
11.4 THEORETICAL MODELS 312
11.4.1 THE INHOMOGENEOUS WAVE EQUATION 312
11.4.2 GENERAL SOLUTION 314
11.4.3 DRIVING SOURCES 315
11.4.4 LENGTH SCALE SEPARATION 316
11.4.5 CLOSURE MODELS 316
11.4.6 ADOPTED MODEL OF TURBULENCE 317
11.4.7 COMPLETE FORMULATION 317
11.5 TURBULENT SPECTRUM 320
11.5.1 TIME AVERAGED SPECTRUM, E(K) 320
11.5.2 EDDY TIME-CORRELATION, X K {W) 321
11.6 CLOSURE MODELS AND ANISOTROPY 324
11.7 IMPORTANCE OF THE STELLAR STRATIFICATION AND CHEMICAL COMPOSITION
327
11.7.1 ROLE OF THE TURBULENT PRESSURE 327
11.7.2 ROLE OF THE SURFACE METAL ABUNDANCE 328
11.8 CONTRIBUTION OF THE ENTROPY FLUCTUATIONS 330
11.9 ALTERNATIVE APPROACHES 330
11.9.1 ENERGY EQUIPARTITION 330
11.9.2 DIRECT CALCULATION 332
11.10 STOCHASTIC EXCITATION ACROSS THE HR DIAGRAM 333
11.10.1 MODE EXCITATION RATES 333
11.10.2 MODE SURFACE VELOCITY 335
11.11 DISCUSSION AND PERSPECTIVES 337
REFERENCES 339
INDEX 341
|
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| id | DE-604.BV039519456 |
| illustrated | Illustrated |
| indexdate | 2024-12-20T15:56:26Z |
| institution | BVB |
| isbn | 3642199275 9783642199271 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-024371977 |
| oclc_num | 723108000 |
| open_access_boolean | |
| owner | DE-11 DE-384 |
| owner_facet | DE-11 DE-384 |
| physical | XV, 344 S. Ill., graph. Darst. |
| publishDate | 2011 |
| publishDateSearch | 2011 |
| publishDateSort | 2011 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in Physics |
| series2 | Lecture notes in Physics |
| spellingShingle | The pulsations of the sun and the stars Lecture notes in Physics Pulsation Astronomie (DE-588)4547578-7 gnd Helioseismologie (DE-588)7840752-7 gnd Asteroseismologie (DE-588)7732648-9 gnd |
| subject_GND | (DE-588)4547578-7 (DE-588)7840752-7 (DE-588)7732648-9 |
| title | The pulsations of the sun and the stars |
| title_auth | The pulsations of the sun and the stars |
| title_exact_search | The pulsations of the sun and the stars |
| title_full | The pulsations of the sun and the stars Jean-Pierre Rozelot... (Eds.) |
| title_fullStr | The pulsations of the sun and the stars Jean-Pierre Rozelot... (Eds.) |
| title_full_unstemmed | The pulsations of the sun and the stars Jean-Pierre Rozelot... (Eds.) |
| title_short | The pulsations of the sun and the stars |
| title_sort | the pulsations of the sun and the stars |
| topic | Pulsation Astronomie (DE-588)4547578-7 gnd Helioseismologie (DE-588)7840752-7 gnd Asteroseismologie (DE-588)7732648-9 gnd |
| topic_facet | Pulsation Astronomie Helioseismologie Asteroseismologie |
| url | http://deposit.dnb.de/cgi-bin/dokserv?id=3672060&prov=M&dok_var=1&dok_ext=htm http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024371977&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000003166 |
| work_keys_str_mv | AT rozelotjeanpierre thepulsationsofthesunandthestars |