Introduction to the Physics of Stellar Interiors [E-Book] / by V. Kourganoff.
All astrophysicists are acquainted with the fundamental works ofS. Chandrasekhar [6] and M. Schwarzschild [1] concerning the internal structure of stars. Although both of these works accentuate the principal mathematical devices of the theory (and use, for this reason, notations that are rather perp...
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Full text |
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Personal Name(s): | Kourganoff, V., author |
Imprint: |
Dordrecht :
Springer,
1973
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Physical Description: |
XI, 117 p. online resource. |
Note: |
englisch |
ISBN: |
9789401025393 |
DOI: |
10.1007/978-94-010-2539-3 |
Series Title: |
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Astrophysics and Space Science Library, A Series of Books on the Recent Developments of Space Science and of General Geophysics and Astrophysics Published in Connection with the Journal Space Science Reviews ;
34 |
Subject (LOC): |
- I. General Considerations Concerning the Energy Radiated by Stars
- 1. The Energy Output and Its ‘Spectral Composition’
- 2. The Observational Data
- 3. Generalities Concerning the Energy Sources
- II. Mechanical Equilibrium: The Equilibrium between the Gravitational Force Per Unit Volume and the Gradient of the Total Pressure
- 1. Introduction
- 2. The Equilibrium between the Gradient of the Total Pressure and the Gravitational Force per Unit Volume
- 3. The Relation between Mrand the Density ? at a Distance r from the Center
- 4. The Expression for div g as a Function of the Local Density ?. Poisson’s Equation
- 5. The Calculation of the Gas Pressure Pgas. The Concept of the Mean Mass µ of a Particle of the Mixture in Units of mH (where mHis the Mass in Grams of a ‘Real’ Microscopic Hydrogen Atom)
- 6. A Model of the Sun at ‘Constant Density’ ? = ??
- 7. The ‘Homologous’ Model. Expressions for Pc and Tcin Terms of M and R
- Exercises
- III. The Determination of the Internal Structure by the Density Distribution ?(r)
- 1. Introduction
- 2. The Determination of the Distribution of the Mass Mr Contained in a Sphere of Radius r
- 3. The Determination of the Distribution of the Total Pressure P as a Function of r
- 4. The Determination of the Distribution of the Temperature T as a Function of r
- 5. Summary. The Empirical Representation of the Functions g (r’),?(r’), P(r’), and T(r’). The Polytropic Index n
- 6. The (Superficial) ‘Convective Zone’ of the Sun
- Exercises
- IV. Energy Equilibrium and Nuclear Reactions
- 1. The Equation of Energy Equilibrium
- 2. The p-p Chain and the C-N Cycle
- 3. Calculation of the Energy ?. Generalities
- 4. The ‘Mean Lifetime’ of a Given Nucleus with Respect to an Isolated Reaction (R)
- 5. The Convergence of Cyclic Reactions to a Stationary (‘Equilibrium’) State
- 6. The ‘Mean Duration of a Cycle’. The Calculation of the Energy ? when Cyclic Reactions Are Present
- 7. The Empirical Representation of ?pp and ?CN
- 8. Application to the Sun. The ‘Final Test’
- Exercises
- V. Evolutionary Models. The Actual Determination of Structure
- 1. Introduction
- 2. The Evolution of the Distributions X(r)and Y(r)
- 3. Discussion
- 4. The Mathematical Structure of the Problem. Principles of the Integration Methods
- 5. The Age of a Star
- 6. The Relations between P, T, L, R, and Parameters such as M, k0, ?0, and µ for ‘Homologous’ Models. The ‘Mass-Luminosity’ and ‘Mass-Radius’ Relations
- Conclusion
- Solutions for the Exercises
- Index of Subjects.