Relativistic Figures of Equilibrium
Relativistic Figures of Equilibrium

Author: Reinhard Meinel

Publisher: Cambridge University Press

Published: 2008-06-26

Total Pages: 219

ISBN-13: 1139472070

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This book treats the classical problem of gravitational physics within Einstein's theory of general relativity. It presents basic principles and equations needed to describe rotating fluid bodies, as well as black holes in equilibrium. It then goes on to deal with a number of analytically tractable limiting cases, placing particular emphasis on the rigidly rotating disc of dust. The book concludes by considering the general case using powerful numerical methods that are applied to various models, including the classical example of equilibrium figures of constant density. Researchers in general relativity, mathematical physics, and astrophysics will find this a valuable reference book on the topic. A related website containing codes for calculating various figures of equilibrium is available at www.cambridge.org/9781107407350.

Theories of Figures of Celestial Bodies
Theories of Figures of Celestial Bodies

Author: Wenceslas S. Jardetzky

Publisher: Courier Corporation

Published: 2013-01-23

Total Pages: 206

ISBN-13: 0486174662

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Suitable for upper-level undergraduates and graduate students, this text explores the most exact methods used in the theory of figures of equilibrium. It also examines problems concerning the figures of celestial bodies, including invariable or varying figures, zonal rotation, systems composed of fluid and rigid parts, and more. 1958 edition.

Rotating Relativistic Stars
Rotating Relativistic Stars

Author: John L. Friedman

Publisher: Cambridge University Press

Published: 2013-02-11

Total Pages: 435

ISBN-13: 0521872545

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This volume pulls together more than forty years of research to provide graduate students and researchers in astrophysics, gravitational physics, and astronomy with the first self-contained treatment of the structure, stability, and oscillations of rotating neutron stars.

Shapes and Dynamics of Granular Minor Planets
Shapes and Dynamics of Granular Minor Planets

Author: Ishan Sharma

Publisher: Springer

Published: 2016-11-01

Total Pages: 364

ISBN-13: 3319404903

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This book develops a general approach that can be systematically refined to investigate the statics and dynamics of deformable solid bodies. These methods are then employed to small bodies in the Solar System. With several space missions underway and more being planned, interest in our immediate neighbourhood is growing. In this spirit, this book investigates various phenomena encountered in planetary science, including disruptions during planetary fly-bys, equilibrium shapes and stability of small rubble bodies, and spin-driven shape changes. The flexible procedure proposed here will help readers gain valuable insights into the mechanics of solar system bodies, while at the same time complementing numerical investigations. The technique itself is built upon the virial method successfully employed by Chandrasekhar (1969) to study the equilibrium shapes of spinning fluid objects. However, here Chandrasekhar’s approach is modified in order to study more complex dynamical situations and include objects of different rheologies, e.g., granular aggregates, or “rubble piles”. The book is largely self-contained, though some basic familiarity with continuum mechanics will be beneficial.

Dynamics of Stellar Systems
Dynamics of Stellar Systems

Author: K. F. Ogorodnikov

Publisher: Elsevier

Published: 2016-10-13

Total Pages: 398

ISBN-13: 1483137457

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Dynamics of Stellar Systems focuses on the theoretical problems in stellar dynamics. The book first offers information on stellar dynamics, including historical development, fundamentals of synthetic method, and value of stellar dynamics. The text discusses the fundamental concepts of stellar statistics. Properties of univariate distribution functions; multivariate distribution functions; and statistical properties of stars are explained. The text then describes the elementary theory of galactic rotation and irregular forces in stellar systems. The text also tackles statistical stellar dynamics of neglecting encounters. Considerations include Boltzmann equation in curvilinear coordinates; importance of using one-valued integrals of the motion; and fundamental differential equation of stellar dynamics. The book also underscores the regular orbit of stars and dynamics of centroids. The text describes the dynamics of spherical stellar and rotating stellar systems. The theory of polytropic spheres; basic equations for spherical systems; masses and rotation of galaxies; and boundaries of galaxies are discussed. The text is highly recommended for readers interested in stellar dynamics.