95.383  Astronomy & Astrophysics I

Dr Laycock.   Fall 2011

 

Course Text:      Astrophysics in a Nutshell

Class meets  MWF at 13:00

 

Syllabus:   An introduction to Astronomy and Astrophysics for students with a background in Physics.

                

 

Downloadable Lecture Materials.

Lecture 1

Pre-Course Quiz  
Lecture 2 Angular Resolution  & Seeing  
Lecture 3 Astronomical Detectors  
Lecure 4

Wien's Law and Stefan's Law

 
Lecture 5 Plank's blackbody radiation law Maoz Ch2
Exercise/Quiz

Sirius A & B: Application of our learning so far

Discovery of stellar properties

 
Lecture 6 Distances in Stellar Astronomy, Parallax, Magnitude, Spectral Types introduced  
HW 3 Assignment

Astronomical Spectra in digital table form (ascii)

The 2 columns are: Wavelength (nm), Flux

Answers 

Lecture 7

Physical Properties of Stars. HR Diagram, Spectral Types Maoz Ch2
Lecture 8 Physical Properties of Stars from Spectral Line Width C&O Ch9

Lecture 9

Rotational broadening, Velocity profiles, Metallicity, Forbidden Lines C&O Ch9
Lecture 10 Binary Stars. Orbital Period, Kepler's Law, Radial velocity, Eclipsing and Spectroscopic Binaries, Mass Function, Homework Assignment. Maoz Ch2, R&P Ch13
  Hydrostatic Equilibrium, Stellar Pressures

Maoz Ch3

C&O Ch 10

  Kelvin Helmholtz Timescale C&O Ch10
  Stellar Internal Temperatures Maoz Ch3
  Proton-Proton Chain

Maoz Ch3

R&P Ch 15

  Physical conditions needed for P-P chain, Nuclear Reaction Rates, Convection

Maoz Ch3

R&P Ch15

Study Guide For Midterm Exam  
Slides Stellar Physics Maoz Ch3
Slides Historical attempts to measure the age of the Earth and Sun  
Slides Supernovae to Stellar Relics Maoz Ch 4
Slides Cosmic Distances, Galaxies to the Big Bang Ch 6,7,8,9
Study Guide Complete List of  Topics for Final  

 

 

Homeworks, Assignments, Quizzes

   Precourse Quiz / Questionnaire  
HW1 Maoz Ch1, P 1,2  
HW2 Maoz Ch2, P1,2  
Q1 / Assignment The Sirius A-B System  
HW /Assignment

Analyze a real stellar spectrum. Identify spectral lines, estimate temperature, determine the spectral type (OBAFGKM),  suggest a luminosity class if possible. Each student gets an different dataset to plot and analyze.

Data

Answers 

Quiz 3 Draw the HR diagram, solve problems using spectral line parameters  
HW4 Maoz Ch2, P4,5  
HW5

1. Use equation of Hydrostatic equilibrium to calculate the pressure at the center of the Sun. (Assume constant density)

2A.  Derive the Kelvin Helmholtz Timescale, (i.e. the lifetime of the sun if all its energy has come form gravitational contraction)

2B.  Calculate the annual rate of contraction to power present day luminosity.

2C. Estimate the chemical energy lifetime for the sun (e.g. if it were powered by burning something)

 
Quiz 4 Plot the evolutionary tracks of stars after they leave the main sequence Solution
Assignment

A Massive Star + Black-Hole Binary system.  Find absolute magnitude, distance modulus, Luminosity, Mass function, Masses, Sizes. Using Radial velocity curve, X-ray Eclipse lightcurve and Optical photometry. Available Table of stellar properties across spectral types.

 

Assignment

Spectral Type Table

  Midterm Exam Solutions
HW6

1.   Calculate the rate of conversion of H -> He in the Sun (kg/second) and express this as Msun/yr

2A.    How long can a star of mass 100Msun, luminosity 10^6 Lsun keep shining before all the H is used up?  (assume the PP chain only)

2B.  Repeat the above calculation for a dwarf star of mass 0.5 Msun, L=0.1Lsun

3.  How long could the Kelvin-Helmholtz contraction power a Brown Dwarf star?

4.    Derive an expression, and a numerical estimate, for the maximum possible mass of a star, using Maoz Ch3 Q3 as a guide.

5.   Explain how the fusion reactions in the Sun's core are regulated.

Solutions
Quiz Derive the Schwartzchild Radius for a black hole, by finding the event horizon along semi-classical lines. Compute values for a steller BH (one produced by the collapse of a single massive star) and a supermassive black hole (SMBH), as found in the center of galaxies.  
HW 7 Maoz Chapter 4:  Q3, Q4c, Q7a,b, Q9    
Quiz

Derive an expression for the Eddington Limit for a NS, then compute the maximum spin-up rate for an accreting pulsar.

Solution
HW 8 Maoz Ch5, Problem 3 (all parts a-e) Solution