Dimensional analysis and group theory in astrophysics.
Dimensional Analysis and Group Theory in Astrophysics.
Clasificación: | Libro Electrónico |
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Autor principal: | |
Formato: | Electrónico eBook |
Idioma: | Inglés |
Publicado: |
Oxford ; New York :
Pergamon Press,
[1972]
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Edición: | [1st ed.]. |
Temas: | |
Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Front Cover; Dimensional Analysis and Group Theory in Astrophysics; Copyright Page; Table of Contents; Preface; Part I: Dimensional Analysis; Chapter 1. The Technique of Dimensional Analysis; 1. Relativistic Phenomena; 2. Stellar Systems; Chapter 2. Foundations of Dimensional Analysis; 3. Postulates of Dimensional Analysis; 4. The Pi Theorem; Chapter 3. Applications of Dimensional Analysis to Problems of Stellar Radiation; 5. The Wien and Stefan-Boltzmann Laws; 6. Normal Forms of Spectral Densities; 7. Limb Darkening; 8. Two-colour Relations; 9. Interstellar Absorption
- 10. Photometric RelationsChapter 4. Applications of Dimensional Analysis to Problems of Stellar Structure; 11. Mass-luminosity Relations; 12. Asymptotic Photometric Relations; 13. Period-luminosity Relations; 14. Proto-stars; Part II: Applications of Group Theory; Chapter 5. Group-theoretical Reduction of Ordinary Differential Equations; 15. Local Lie Groups; 16. Group-theoretical Reduction of Ordinary Differential Equations; 17. Autonomous Monomial Differential Equations; 18. Non-autonomous Monomial Differential Equations
- Chapter 6. Reductions of the Differential Equations of Stellar Structure 19. Polytropic Gas Balls; 20. Isothermal Gas Balls; 21. Stellar Envelopes; 22. Stellar Interiors; 23. Stellar Interiors With Convective Cores; Appendices; Appendix 1: The Law of Titius and Bode (cf. 1); Appendix 2: Note on the Temperatures and Atmospheres of the Planets (cf. 5); Notes and References; Appendix 3: The Mass-radius Relation of the Major Planets (cf. 11); Appendix 4: The Concept of a Group; Notes and References; Appendix 5: Methodological Reflections; Notes and References
- Appendix 6: Some Data and DimensionsReferences; Index