ASTRONOMY 320: PHYSICAL PROCESSES IN ASTRONOMY
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Astronomy Dept
Physics Dept
Yale University


Course Description: This course discusses physical processes relevant for astrophysics and consists of three parts. Part I covers vector calculus, including line and volume integrals, vector fields and their divergence and curl, curvi-linear coordinate systems and the integral theorems of Green, Stokes & Gauss. In Part II we discuss the dynamics of fluids, including collisionless ones. We will derive the continuity, momentum & energy equations, discuss hydrostatic equilibrium, viscous flows, fluid instabilities, and focus on various astrophysical applications such as stellar structure and accretion disks. In Part III we address radiation. We discuss both thermal and non-thermal emission mechanisms, study the interaction of radiation and matter, delve into radiative transfer, and address statistical equilibrium. We end with a discussion of how radiation interacts with space itself, focussing on cosmological redshift and gravitational lensing.

Instructor: Prof. Frank C. van den Bosch
Office Hours: Wed 4-5pm (or by appointment)
Office Location: Office 320, 52 Hillhouse Ave
Email: frank.vandenbosch@yale.edu


Syllabus: Click here for download

Lecture Hours: Tuesday & Thursday: 4.00pm - 5.15pm in WTS A48 (Watson Building)

Grading: 35% Final Exam (oral)
30% Problem Sets
35% Term Paper + Presentation


Students, in teams of two, will write a 12-15 page paper on some astrophysical topic (a list will be provided) that is relevant to the topics covered in class. During the last one or two lectures, the students will present their findings in class in the form of a 20min presentation.

Summary Sheets: 1. Vector Calculus
2. Conservative Vector Fields & Integral Theorems
3. Curvi-Linear Coordinate Systems
4. Basics of Fluid Dynamics
5. Continuity & Momentum Equations
6. The Stress Tensor & Viscosity
7. The Navier-Stokes Equations
8. Microscopic Approach: From Liouville to Boltzmann
9. Microscopic Approach: From Boltzmann to Navier-Stokes
10. Vorticity & Circulation
11. The Bernoulli Equation & Crocco's Theorem
12. Reynold's number & Turbulence
13. The Equation of State
14. The Energy Equation
15. Gravity: Poisson equation & Virial Theorem
16. Hydrostatic Equilibrium & Stellar Structure
17. Sound Waves
18. Shocks
19. Fluid Instabilities
20. Collisions & Encounters of Collisionless Systems
21. Radiation Essentials
22. Astrophysical Gases
23. The Interaction of Light with Matter: I - Scattering
24. The Interaction of Light with Matter: II - Absorption
25. The Interaction of Light with Matter: III - Extinction
26. Radiative Transfer
27. Continuum Emission


Other Downloads: Syllabus (PDF)
All Summary Sheets in a single PDF file
Problem Set 1
PS1 Solutions
Problem Set 2
PS2 Solutions
Problem Set 3
Problem Set 4
Problem Set 5 (not available yet)


Recommended Textbooks: This course will not follow any particular textbook. Summary sheets of the material covered will be made available to the students. However, the following textbooks are recommended:

Theoretical Astrophysics
by M. Bartelmann
This excellent textbook covers radiation processes, hydrodynamics and plasma physics from first principles but at an advanced level.

Astrophysics: Decoding the Cosmos
by J. Irwin
This book covers the basics of radiative processes in astrophysics at introductory level.

Principles of Astrophysical Fluid Dynamics
by C. Clarke & B.Carswell
This book covers the basics of fluid dynamics at appropriate level, with astrophysical applications.

Astrophysics Processes: The Physics of Astronomical Phenomena
by H. Bradt
This book addresses several of the topics covered in this course, and at the appropriate level.

Foundations of Radiation Hydrodynamics
by D. Mihalas & B. Weibel Mihalas
This book covers both astrophysical hydrodynamics and radiative processes, but at level that is somewhat too advanced for this course.


CONTACT INFORMATION
Astronomy Department Phone: +1-203-432-0196
Yale University Fax:     +1-203-432-5048
P.O. Box 208101 E-mail: frank.vandenbosch@yale.edu
New Haven, CT 06520-8101