Gravitational N-Body simulations:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Cambridge [u.a.]
Cambridge Univ. Press
2003
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| Ausgabe: | 1. publ. |
| Schriftenreihe: | Cambridge monographs on mathematical physics
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XV, 413 S. graph. Darst. |
| ISBN: | 0521432723 |
Internformat
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Datensatz im Suchindex
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| adam_text | GRAVITATIONAL TV-BODY SIMULATIONS SVERRE J. AARSETH INSTITUTE OF
ASTRONOMY UNIVERSITY OF CAMBRIDGE I CAMBRIDGE W UNIVERSITY PRESS
CONTENTS PREFACE PAGE XIII 1 THE IV-BODY PROBLEM 1 1.1 INTRODUCTION 1
1.2 HISTORICAL DEVELOPMENTS 1 1.3 BASIC CONCEPTS 6 1.4 THE FIRST STEPS
14 2 PREDICTOR-CORRECTOR METHODS 18 2.1 INTRODUCTION 18 2.2 FORCE
POLYNOMIALS 18 2.3 INDIVIDUAL TIME-STEPS 21 2.4 ALTERNATIVE FORMULATIONS
24 2.5 HERMITE SCHEME 27 2.6 BLOCK TIME-STEPS 28 2.7 TIME-SYMMETRIC
METHOD 30 3 NEIGHBOUR TREATMENTS 32 3.1 INTRODUCTION 32 3.2 AHMAD-COHEN
METHOD 33 3.3 COSMOLOGICAL ADAPTATION 37 3.4 MULTIPOLE EXPANSION 40 3.5
GRID PERTURBATIONS 43 3.6 PARTICLE IN BOX 46 3.7 RING SCHEME 49 4
TWO-BODY REGULARIZATION 51 4.1 INTRODUCTION 51 4.2 PRINCIPLES OF
REGULARIZATION 52 4.3 LEVI-CIVITA TRANSFORMATION 54 VN VIII CONTENTS 4.4
KUSTAANHEIMO-STIEFEL METHOD 56 4.5 BURDET-HEGGIE ALTERNATIVE 60 4.6
HERMITE FORMULATION 61 4.7 STUMPFF FUNCTIONS 63 5 MULTIPLE
REGULARIZATION 66 5.1 INTRODUCTION 66 5.2 AARSETH-ZARE METHOD 67 5.3
EXTERNAL PERTURBATIONS 73 5.4 WHEEL-SPOKE GENERALIZATION 75 5.5 HEGGIE S
GLOBAL FORMULATION 78 5.6 MIKKOLA S DERIVATION 80 5.7 CHAIN TREATMENT 82
5.8 SLOW-DOWN PROCEDURE 86 5.9 TIME-TRANSFORMED LEAPFROG SCHEME 90 5.10
ALGORITHMIC REGULARIZATION 92 6 TREE CODES 94 6.1 INTRODUCTION 94 6.2
BASIC FORMULATION 94 6.3 COLLISIONAL TREATMENT 96 6.4 FLATTENED SYSTEMS
103 7 PROGRAM ORGANIZATION 105 7.1 INTRODUCTION 105 7.2 JV-BODY CODES
105 7.3 FLOWCHARTS 107 7.4 SCALING AND UNITS 110 7.5 INPUT PARAMETERS
AND OPTIONS 112 7.6 BASIC VARIABLES 114 7.7 DATA STRUCTURE 117 8 INITIAL
SETUP 120 8.1 INTRODUCTION 120 8.2 INITIAL CONDITIONS FOR CLUSTERS 120
8.3 PRIMORDIAL BINARIES 124 8.4 OPEN CLUSTERS AND CLOUDS 127 8.5
ECCENTRIC PLANAR ORBITS 131 8.6 MOTION IN 3D 133 8.7 STANDARD
POLYNOMIALS 136 8.8 REGULARIZED POLYNOMIALS 138 CONTENTS IX 9
DECISION-MAKING 141 9.1 INTRODUCTION 141 9.2 SCHEDULING 142 9.3 CLOSE
TWO-BODY ENCOUNTERS 144 9.4 MULTIPLE ENCOUNTERS 147 9.5 HIERARCHICAL
CONFIGURATIONS 150 9.6 ESCAPERS 153 9.7 MASS LOSS AND TIDAL INTERACTIONS
154 9.8 PHYSICAL COLLISIONS 156 9.9 AUTOMATIC ERROR CHECKS 160 10
NEIGHBOUR SCHEMES 164 10.1 INTRODUCTION 164 10.2 BASIC AHMAD-COHEN
METHOD 165 10.3 HERMITE IMPLEMENTATION 169 10.4 PARALLEL ADAPTATIONS 173
10.5 BLACK HOLE BINARIES IN GALACTIC NUCLEI 175 10.6 HYBRID FORMULATIONS
177 11 TWO-BODY ALGORITHMS 181 11.1 INTRODUCTION 181 11.2 GENERAL KS
CONSIDERATIONS 181 11.3 STUMPFF HERMITE VERSION 186 11.4 KS TERMINATION
188 11.5 UNPERTURBED TWO-BODY MOTION 190 11.6 SLOW-DOWN IN KS 192 11.7
HIERARCHICAL MERGERS 194 11.8 TIDAL CIRCULARIZATION 200 11.9 CHAOTIC
MOTIONS 203 11.10 ROCHE-LOBE MASS TRANSFER 204 12 CHAIN PROCEDURES 207
12.1 INTRODUCTION 207 12.2 COMPACT SUBSYSTEMS 207 12.3 SELECTION AND
INITIALIZATION 211 12.4 TIME STEPPING 213 12.5 SLOW-DOWN IMPLEMENTATION
217 12.6 CHANGE OF MEMBERSHIP 219 12.7 HIERARCHICAL STABILITY 221 12.8
TERMINATION * 223 12.9 TIDAL INTERACTIONS 225 12.10 BLACK HOLE BINARY
TREATMENT 229 X CONTENTS 13 ACCURACY AND PERFORMANCE 234 13.1
INTRODUCTION 234 13.2 ERROR ANALYSIS 234 13.3 TIME-STEP SELECTION 241
13.4 TEST PROBLEMS 242 13.5 SPECIAL-PURPOSE HARDWARE 246 13.6 TIMING
COMPARISONS 250 14 PRACTICAL ASPECTS 252 14.1 INTRODUCTION 252 14.2
GETTING STARTED 252 14.3 MAIN RESULTS 254 14.4 EVENT COUNTERS 255 14.5
GRAPHICS 257 14.6 DIAGNOSTICS 258 14.7 ERROR DIAGNOSIS 261 15 STAR
CLUSTERS 264 15.1 INTRODUCTION 264 15.2 CORE RADIUS AND DENSITY CENTRE
265 15.3 IDEALIZED MODELS 267 15.4 REALISTIC MODELS 271 15.5 STELLAR
EVOLUTION 279 15.6 TIDAL CAPTURE AND COLLISIONS 282 15.7 HIERARCHICAL
SYSTEMS 285 15.8 SPIN-ORBIT COUPLING 287 15.9 GLOBULAR CLUSTERS 292 16
GALAXIES 297 16.1 INTRODUCTION 297 16.2 MOLECULAR CLOUDS 298 16.3 TIDAL
DISRUPTION OF DWARF GALAXIES 300 16.4 INTERACTING GALAXIES 301 16.5
GROUPS AND CLUSTERS 303 16.6 COSMOLOGICAL MODELS 304 17 PLANETARY
SYSTEMS 307 17.1 INTRODUCTION 307 17.2 PLANETARY FORMATION 307 17.3
PLANETESIMAL DYNAMICS * 312 17.4 PLANETARY RINGS 317 17.5 EXTRA-SOLAR
PLANETS 319 CONTENTS XI 18 SMALL-IV EXPERIMENTS 323 18.1 INTRODUCTION
323 18.2 FEW-BODY SIMULATIONS 324 18.3 THREE-BODY SCATTERING 330 18.4
BINARY-BINARY INTERACTIONS 334 18.5 CHAOS AND STABILITY 340 APPENDIX A:
GLOBAL REGULARIZATION ALGORITHMS 350 A.I TRANSFORMATIONS AND EQUATIONS
OF MOTION 350 A.2 EXTERNAL PERTURBATIONS 352 APPENDIX B: CHAIN
ALGORITHMS 354 B.I TRANSFORMATIONS AND SWITCHING 354 B.2 EVALUATION OF
DERIVATIVES 356 B.3 ERRATA 358 APPENDIX C: HIGHER-ORDER SYSTEMS 359 C.I
INTRODUCTION 359 C.2 INITIALIZATION 359 C.3 TERMINATION 360 C.4 ESCAPE
OF HIERARCHIES 361 APPENDIX D: PRACTICAL ALGORITHMS 363 D.I MAXWELLIAN
DISTRIBUTION 363 D.2 GHOST PARTICLES 363 D.3 KS PROCEDURES FOR AVERAGING
364 D.4 DETERMINATION OF PERICENTRE OR APOCENTRE 365 D.5 PARTIAL
UNPERTURBED REFLECTION 366 APPENDIX E: KS PROCEDURES WITH GRAPE 367 E.I
SINGLE PARTICLES 367 E.2 REGULARIZED KS PAIRS 368 APPENDIX F:
ALTERNATIVE SIMULATION METHOD 369 F.I IV-BODY TREATMENT 369 F.2 STELLAR
EVOLUTION 370 APPENDIX G: TABLE OF SYMBOLS 371 G.I INTRODUCTION 371
APPENDIX H: HERMITE INTEGRATION METHOD 374 REFERENCES 377 INDEX 408
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| author | Aarseth, Sverre J. 1934- |
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| bvnumber | BV025304896 |
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| ctrlnum | (OCoLC)796179969 (DE-599)BVBBV025304896 |
| discipline | Physik |
| edition | 1. publ. |
| format | Book |
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| illustrated | Illustrated |
| indexdate | 2024-07-09T22:30:47Z |
| institution | BVB |
| isbn | 0521432723 |
| language | English |
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| physical | XV, 413 S. graph. Darst. |
| publishDate | 2003 |
| publishDateSearch | 2003 |
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| publisher | Cambridge Univ. Press |
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| series2 | Cambridge monographs on mathematical physics |
| spelling | Aarseth, Sverre J. 1934- Verfasser (DE-588)136395074 aut Gravitational N-Body simulations Sverre J. Aarseth 1. publ. Cambridge [u.a.] Cambridge Univ. Press 2003 XV, 413 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Cambridge monographs on mathematical physics Vielteilchensystem (DE-588)4063491-7 gnd rswk-swf Vielteilchensystem (DE-588)4063491-7 s DE-604 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=019936553&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Aarseth, Sverre J. 1934- Gravitational N-Body simulations Vielteilchensystem (DE-588)4063491-7 gnd |
| subject_GND | (DE-588)4063491-7 |
| title | Gravitational N-Body simulations |
| title_auth | Gravitational N-Body simulations |
| title_exact_search | Gravitational N-Body simulations |
| title_full | Gravitational N-Body simulations Sverre J. Aarseth |
| title_fullStr | Gravitational N-Body simulations Sverre J. Aarseth |
| title_full_unstemmed | Gravitational N-Body simulations Sverre J. Aarseth |
| title_short | Gravitational N-Body simulations |
| title_sort | gravitational n body simulations |
| topic | Vielteilchensystem (DE-588)4063491-7 gnd |
| topic_facet | Vielteilchensystem |
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