<p>Dynamical systems theory is especially well-suited for determining the possible asymptotic states (at both early and late times) of cosmological models, particularly when the governing equations are a finite system of autonomous ordinary differential equations. <BR>In this book we discuss cosmolo
Problems of Cosmology and Stellar Dynamics
โ Scribed by James Jeans
- Publisher
- Cambridge University Press
- Year
- 2009
- Tongue
- English
- Leaves
- 311
- Series
- Cambridge Library Collection - Mathematics
- Edition
- 1
- Category
- Library
No coin nor oath required. For personal study only.
โฆ Synopsis
Problems of Cosmogony and Stellar Dynamics is a theoretical prelude to Jeans's later and more mature work on the subject, Astronomy and Cosmogony. The impetus for publishing his theories on the behaviour of rotating masses, and on general dynamical theory, was the 1917 Adams Prize on the 'rotating and gravitating fluid mass'. Jeans won the prize with the core text of this volume. Enlarging on that work, and utilising the burgeoning results of astronomy, as well as the author's bolder theoretical conjectures, this book became a solid foundation for substantial progress in cosmology.
โฆ Table of Contents
Cover......Page 1
Frontmatter......Page 2
Preface......Page 10
Contents......Page 13
I - Introductory Chapter......Page 14
II - General Dynamical Principles......Page 32
III - Ellipsoidal Configurations of Equilibrium......Page 48
IV - The Gravitational Potential of a Distorted Ellipsoid......Page 78
V - Pear-shaped Configurations of Equilibrium......Page 91
VI - Motion when there are no Stable Configurations of Equilibrium......Page 130
VII - The Motion of Compressible and Non-homogeneous Masses......Page 152
VIII - The Evolution of Gaseous Masses......Page 201
IX - The Evolution of Rotating Nebulae......Page 216
X - The Evolution of Star-Clusters......Page 233
XI - The Evolution of Binary and Multiple Stars......Page 259
XII - The Origin and Evolution of the Solar System......Page 282
Index......Page 304
๐ SIMILAR VOLUMES
Stellar dynamics is an interdisciplinary field where mathematics, statistics, physics, and astronomy overlap. The approaches to studying a stellar system include dealing with the collisionless Boltzmann equation, the Chandrasekhar equations, and stellar hydrodynamic equations, which are comparable t
<DIV>Aะย Nobel Prize-winning astrophysicist investigates two areas. The first concerns problems in which the time of relaxation of a stellar system is central. The second examines problems centering around Liouville's theorem and the solutions of the equation of continuity.</DIV>