Astronomy 320: Spring 2020

Theoretical Astrophysics

1st galaxies: gas density (Ricotti, Parry & Gnedin 2016) 

Modern astronomy has its roots firmly grounded in the fundamental principles of physics (both classical and quantum). Furthermore, many branches of physics as we know them today trace their origins to the search for universal physical laws to explain natural phenomena discovered and analyzed by astronomers.

The goal of theoretical astrophysics is to provide physical and conceptual understanding of the diverse systems that represent our universe. Introductory astronomy courses are often organized by scale (planets, stars, galaxies and the universe as a whole) and observational astronomy courses are often organized by wavelength because of the different technologies. To emphasize the different approach needed for developing a theoretical framework, this course is organized into themes of governing physical principles. For each of the three main themes (gravity, gas physics and quantum physics), we start with fundamental principles and then discuss applications in various astronomical contexts. We will also discuss systems in which several principles interact synergistically and demonstrate how astrophysical theories are developed by successive model refinements and confrontation with data. We will show how application of simple physical laws can explain the observed properties of an astounding range of astronomical objects!

I will assume a basic knowledge of astronomical concepts (up to the ASTR120/ASTR121 level) as well as basic physics (up to the PHYS270/PHYS271/PHYS273 level)

Schedule

    Instructor:  		Massimo Ricotti
    Class:       		AJC 2134
    Lectures:    		Tuesday and Thursday from 11:00pm to 12:15pm
    First class: 		Tue Jan 28 
    Last  class: 		Tue May 12 
    TA:		 		Alexander Dittmann 
    Reading session (w/Alex):	Wednesday from 1:00pm to 1:50pm (ATL 2428)
    First reading session: 	Wed Jan 29

What's New?

Jan 28: First class
Jan 29: Reading session (introduction of Alex Dittmann)

Contact info and Notes

Course Outline

The Syllabus is available on ELMS and here PDF format.

DateLecture

GRAVITY (notes)
#1Jan 28 Introduction; Recap of Newton’s laws and the conservation of momentum
#2Jan 30 Newtonian gravity
#3Feb 4 One body problem - conservation laws and constants of motion
#4Feb 6 One body problem - solving the equation of motion
#5Feb 11 One body problem - derivation of Kepler's Laws
#6Feb 13 One body problem - cont.
#7Feb 18 Two-body problems and binary systems (notes)
#8Feb 20 Two + one (restricted three) body problem - Lagrange points
#9Feb 25 Two + one (restricted three) body problem - Effective potential
#10Feb 27 N-body dynamics - the virial theorem
#11Mar 3 N-body dynamics - applications of the virial theorem
- Mar 5 MIDTERM (in class)
#12Mar 10 N-body dynamics - two body relaxation
GAS PHYSICS (notes)
#13Mar 12 Pressure and the concept of hydrostatic equilibrium
- Mar 17 SPRING BREACK
- Mar 19 SPRING BREACK
#14Mar 24 Atmospheres in an external gravitational field
#15Mar 26 Self-gravitating atmospheres
#16Mar 31 Introduction to thermodynamics and statistical mechanics
#17Apr 2 Statistical mechanics of ideal gas
#18Apr 7 Radiation gases
#19Apr 9 Radiation gases (cont) and applications to Cosmology
#20Apr 14 Brief introduction to hydrodynamics
QUANTUM PHYSICS (notes)
#21Apr 16 The Bohr model of the atom
#22Apr 21 Particle wave duality and particle in a box
#23Apr 23 Fermions and bosons; Fermi-Dirac and Bose-Einstein statistics
#24Apr 28 Degeneracy pressure and while dwarf
#25Apr 30 Type-1a supernovae and neutron stars
#26May 5 Schrodinger’s approach to Quantum Mechanics
#27May 7 The structure of the hydrogen atom
#28May 12 Review
-May 14 Final exam (in class, Thursday 8:00am-10:00am)

Textbooks

There are no required textbooks for this course
General Textbooks Loosely related to this course (but we will not use or follow these books, and the overlap with specific book chapters is very small):
  • Astrophysics for Physicists, by Arnab Rai Choudhuri,
    (Cambridge University Press, 2010) ISBN-13: 978-0521815536
  • Astrophysics in a Nutshell, by Dan Maoz,
    (Princeton University Press, 2007) ISBN-13: 978-0691125848

Course Grading

  • Class participation 10%
  • Homework 30%
  • Midterm exam 25%
  • Final exam 35%
Letter grades will be assigned guided by the following scheme.
  • A 100% - 90%
  • B 89.9% - 80%
  • C 79.9% - 70%
  • D 69.9% - 60%
  • F below 60%
I will also adopt the finer division of the letter grades using pluses and minuses.

Homework

Homework will be assigned every week or every other week (total of 6 homework). Their due dates will be announced at the time they are assigned. On the due date the students will be expected to turn in their homework in class. The homework turned in will be graded and returned to the students. I will provide solutions and discuss them in class.

I will post the HOMEWORK and solutions on ELMS

Wiki pages related to class's discussions

Class #1
Class #2
Discussion Section #7
Class #8
Class #9
Class #24 and #25