Theory of Rotating Stars

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Last edited by MARC Bot
December 13, 2023 | History

Theory of Rotating Stars

First edition
  • 5.0 (1 rating)
  • 1 Have read

Ever since the first observations of sunspots in the early seventeenth century, stellar rotation has been a major topic in astronomy and astrophysics. Jean-Louis Tassoul synthesizes a large number of theoretical investigations on rotating starts scattered throughout numerous sources, some of which are difficult to obtain and consequently not well known. Drawing upon his own research, Professon Tassoul also carefully critiques various competing ideas, some of which are evaluated here for the first time.
In the first three chapters the author provides a short historical sketch of stellar rotation, the main observational data on the Sun and other starts on which the subsequent theory is based, and the basic Newtonian hydrodynamics used to study rotating stars. Following a discussion of some general mechanical properties of stars in a state of permanent rotation, he reviews the main techniques for determining the structure of a rotating star and its stability with respect to infinitesimal disturbances. Since the actual distribution of angular momentum within starts is still unknown, Professor Tassoul considers various models of angular momentum as well as medirional circulation. He devotes the rest of his study to the problems concerning various groups of starts and stages in stellar evollution.
Jean-Louis Tassoul is Professor of Physics at the Universite de Montreal.
This new international monograph series in astrophysics is edited by Jeremiah P. Ostriker.

Publish Date
Language
English
Pages
508

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Cover of: Theory of Rotating Stars
Theory of Rotating Stars
1978, Princeton University Press
Paperback in English - First edition

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Book Details


Table of Contents

Preface. xi
1. An Historical Overview. 3
1.1 Discovery of the Solar Rotation. 3
1.2 Early Measurements of Stellar Rotation. 5
1.3 Rotating Fluid Masses. 7
1.4 The Golden Age of Stellar Rotation. 12
Bibliographical Notes. 14
2. The Observational Data. 16
2.1 Introduction. 16
2.2 The Sun. 16
2.3 Single Stars. 21
2.4 Double Stars. 32
Bibliographical Notes. 39
3. Stellar Hydrodynamics. 43
3.1 Introduction. 43
3.2 Eulerian and Lagrangian Variables. 44
3.3 Dynamical Principles. 47
3.4 Conservation of Energy. 54
3.5 Circulation and Vorticity. 58
3.6 Stellar Hydromagnetics. 66
3.7 The Virial Equations. 69
Bibliographical Notes. 71
4. Permanent Rotations. 74
4.1 Introduction. 74
4.2 Assumptions and Definitions. 74
4.3 Barotropes, Pseudo-Barotropes, and Baroclines. 78
4.4 Spheroidal Stratifications. 82
4.5 Some Inequalities. 84
4.6 The Outer Gravitational Field. 89
Bibliographical Notes. 91
5. Stellar Models: Techniques. 95
5.1 Introduction. 95
5.2 The Clairaunt-Legendre Expansion. 96
5.3 The Chandrasekhar-Milne Expansion. 100
5.4 The Quasi-Spherical Approximation. 104
5.5 The Self-Consistent Field Method. 108
Bibliographical Notes. 112
6. Small Oscillations and Stability: Techniques. 116
6.1 Introduction. 116
6.2 Eulerian and Lagrangian Variations. 117
6.3 The Perturbation Equations. 119
6.4 The Spherical Start: A Brief Survey. 123
6.5 An Energy Principle. 135
6.6 A Variational Principle. 137
6.7 The Second-Order Virial Thorem. 141
6.8 The Static and Quasi-Dynamic Methods. 146
Bibliographical Notes. 155
7. The Angula Momentum Distribution. 159
7.1 Introduction. 159
7.2 The von Zeipel Paradox. 160
7.3 The Solberg and Hoiland Criteria. 163
7.4 Thermal Imbalance in Baroclines. 169
7.5 Some Quasi-Permanent Solutions. 175
Bibliographical Notes. 184
8 Meridional Circulation. 188
8.1 Introduction. 188
8.2 Circulation in Radiative Zones. 188
8.3 A Critical Review of the Approximations. 198
8.4 Turbulent Motions in Stars: A Brief Survey. 207
8.5 Circulation in Convection Zones. 211
Bibliographical Notes. 215
9. The Solar Differential Rotation. 219
9.1 Introduction. 219
9.2 Anisotropic Eddy Viscosity. 221
9.3 Baroclinic Waves and Two-Dimensional Turbulence. 224
9.4 Interaction of Rotation with Convection. 226
Bibliographical Notes. 230
10. Solid-Body Rotation vs. Differential Rotation. 223
10.1 Introduction. 233
10.2 The Classical Results. 234
10.3 Uniformly Rotating Polytrops. 244
10.4 Differentially Rotating Polytrops. 254
10.5 A General Summary. 267
Bibliographical Notes. 269
11. Collapse and Fission. 273
11.1 Introduction. 273
11.2 The Early Phases. 274
11.3 The Fission Problem. 280
11.4 The Quasi-Static Contraction. 288
Bibliographical Notes. 298
12. Stellar Models: Structures and Evolution. 305
12.1 Introduction. 305
12.2 Main-Sequence Models. 305
12.3 Effects of Rotation on the Observable Parameters. 320
12.4 Rotation of the Am- and Ap- Stars. 330
12.5 Stellar Rotation in Open Clusters. 336
12.6 The Post-Main-Sequence Phases. 341
Bibliographical Notes. 352
13. Rotating White Dwarfs. 362
13.1 Introduction. 362
13.2 Models in a State of Permanent Rotations. 364
13.3 Evolutionary Effects. 377
Bibliographical Notes. 380
14. Oscillations and Stability. 385
14.1 Introduction. 385
14.2 Pseudo-Radial Motions. 386
14.3 The Beat Phenomenon in the β Cepheids. 401
14.4 Vibrational Stability. 404
14.5 Convective Motions. 409
Bibliographical Notes. 417
15. Stellar Magnetism and Rotation. 422
15.1 Introduction. 422
15.2 Some General Properties. 422
15.3 Origin of Stellar Magnetic Fields. 426
15.4 Magnetic Start. 430
15.5 The Solar Dynamo and Differential Rotation. 436
Bibliographical Notes. 441
16. Rotation in Close Binaries. 448
16.1 Intruduction. 448
16.2 Synchronously Rotating Models. 448
16.3 Tidal Intaraction and Synchronization. 458
16.4 Gas Dynamics of Close Binaries. 462
Bibliographical Notes. 465
Epilogue. 470
Appendix A: A Table of Physical and Astronomical Constants. 475
Appendix B: The Hydrodynamicl Equations in Cylindrical and Spherical Coordinates. 477
Appendix C: The Spherical Harmonics. 481
Appendix D: The Maclaurin and Jacobi Ellipsoids. 483
Appendix E: The ψ- and χ- functions. 487
Index of Names. 493
Subject Index. 503

Edition Notes

Published in
Princeton, New Jersey, USA
Series
Princeton Series in Astrophysics
Copyright Date
1978

Classifications

Library of Congress
QB810.T37 1978, QB810, QB810 .T37

The Physical Object

Format
Paperback
Number of pages
508
Dimensions
23.5 x 15.5 x 2.6 centimeters
Weight
747 grams

Edition Identifiers

Open Library
OL7757855M
ISBN 10
0691082111
ISBN 13
9780691082110
LCCN
78051198
OCLC/WorldCat
4055985
LibraryThing
2035539

Work Identifiers

Work ID
OL8306720W

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