Physics of Gravitating Systems I: Equilibrium and Stability

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Springer Science & Business Media, Dec 6, 2012 - Science - 468 pages
It would seem that any specialist in plasma physics studying a medium in which the interaction between particles is as distance-dependent as the inter action between stars and other gravitating masses would assert that the role of collective effects in the dynamics of gravitating systems must be decisive. However, among astronomers this point of view has been recog nized only very recently. So, comparatively recently, serious consideration has been devoted to theories of galactic spiral structure in which the dominant role is played by the orbital properties of individual stars rather than collec tive effects. In this connection we would like to draw the reader's attention to a difference in the scientific traditions of plasma physicists and astrono mers, whereby the former have explained the delay of the onset of controlled thermonuclear fusion by the "intrigues" of collective processes in the plasma, while many a generation of astronomers were calculating star motions, solar and lunar eclipses, and a number of other fine effects for many years ahead by making excellent use of only the laws of Newtonian mechanics. Therefore, for an astronomer, it is perhaps not easy to agree with the fact that the evolution of stellar systems is controlled mainly by collective effects, and the habitual methods of theoretical mechanics III astronomy must make way for the method of self-consistent fields.
 

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Contents

Introduction
1
4 Jeans Instability of a OneComponent Uniform Medium
10
6 NonJeans Instabilities
19
CHAPTER I
27
3 Anisotropic FireHose Instability of a Collisionless Flat Layer
37
4 Derivation of IntegroDifferential Equations for Normal Modes of
43
5 Symmetrical Perturbations of a Flat Layer with an Isotropic
50
CHAPTER II
78
6 Stability of Spherically Symmetrical Systems of General Form
207
7 Discussion of the Results
235
CHAPTER IV
246
2 Stability of a ThreeAxial Ellipsoid and an Elliptical Disk
265
3 Stability of TwoAxial Collisionless Ellipsoidal Systems
276
CHAPTER XI
285
Problems
296
Equilibrium and Stability of Flat Gravitating Systems
323

3 Nonaxial Perturbations of a Collisionless Cylinder
97
4 Stability of a Cylinder with Respect to Flutelike Perturbations
104
6 Comparison with Oscillations of an Incompressible Cylinder
117
Problems
125
Equilibrium and Stability of Collisionless Spherically Symmetrical
136
2 Stability of Systems with an Isotropic Particle Velocity Distribution
152
3 Stability of Systems of Gravitating Particles Moving On Circular
164
Orbits
173
4 Stability of Systems of Gravitating Particles Moving in Elliptical Orbits
186
5 Stability of Systems with Radial Trajectories of Particles
193
2 Stability of a Cold Rotating Disk
343
3 Stability of a Plasma Disk with a Magnetic Field
380
4 Stability of a Hot Rotating Disk
389
Other Applications
411
Properties of Gaseous and Stellar Disks
428
Problems
434
References
445
Additional References
459
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