Class schedule
Date  Assignment due 
Topic  Book reference  

R&L  Shu  Shore  
Tu Jan 31 
none  Radiation basics  1.15  Ch 1,2,3  Ch 3 , 6.2.4,5 
Th Feb 2 
#1  Radiation basics 
1.15 

Tu Feb 7  #2  Einstein coefficients Scattering 
1.15  Ch 1,2,3  Ch 3 , 6.2.4,5 
Th Feb 9 
Problem set 1  Atmospheres  168  Ch 1,2,3  Ch 3 , 6.2.4,5 
Tu Feb 14 
#3  Larmor formula for radiation by accelerating charges  Ch 2  Ch 1114  Ch 3 , 6.2.4,5 
Th Feb 16 
Bremsstrahlung, Thomson scattering  3.14  Ch 1114  Ch 3 , 6.2.4,5 §3.5.6  
Tu Feb 21  
Line emission Line broadening; Curve of growth relevant link 
3.53.6  Ch2 §130  Ch 3 §3.3, 3.5.23.5.4 
***** Paper topic statement due 2/21 *****  
Th Feb 23  Problem set 2  Masers Fluorescence 
Ch 7  Ch 14  Ch3 §3.5.6 
Tu Feb 28 
Compton
scattering Kompaneets equation 
Ch 7  Ch 14  
Th Mar 2 
Kompaneets equation  
Tu Mar 7 
Synchrotron radiation  Ch 6  
Ch 6 § 6.5 Ch 7 § 7.7.2 

Th Mar 9 
Problem set 3  Fluids  Vol II Ch 14 
Ch 1 § 1.4 Ch 1 § 1.5 Ch 4 § 4.2 

Tu Mar 14 
Virial theorem 
VII Ch 8  Ch 1 § 1.4.4 Ch 3 § 3.5.1 

Th Mar 16 
Problem set 4  Instabilities  
V II Ch 15  Ch 6 § 6.8, 9 
Tu Mar 21 
Instabilities  
Th Mar 23 
Shock waves  V II Ch 15  Ch 6 § 6.7.1 Ch 6 § 6.7.56 

Tu Mar 28 
Shock waves  

***** Abstract and outline due 3/28 *****  
Th Mar 30 
Ionization fronts  VII Ch 20 
Ch 6 § 6.7.24  
Tu Apr 47 
Spring Break 


Tu Apr 11 
Problem Set 5  Ionization fronts  

Th Apr 13 
The twobody problem and binaries  V II Ch 6  Ch 1 § 1.2.1  
Tu Apr 18 
The twobody problem and binaries  
Th Apr 20 
Problem set 6  The threebody problem  V II Ch 6  Ch 5 § 5.56  
Tu Apr 25 
Accretion and winds  Ch 3 § 3.7  
Th Apr 27 
Accretion and winds  

****** First draft of paper due 4/27 *****  
Tu May 2 
Accretion and winds  
Th May 4 
Advising Day 

Tu May 9 
Accretion disks  V II Ch 7  Ch 6 § 6.7.24  
Th May 11 
A little cosmology  Ch 6 § 6.7.24  
******* Second draft of paper due 5/11
********** 

Tu May 16 
A little cosmology  Ch 8 

Th May 18 
Student presentations Last day of classes 


**** Final paper due Tuesday 5/23 *****  
Th May 25 
Presentations continue 
PROBLEM SET 3 Due Thursday March 9
R&L Problem 3.5
2. Scorpius X1 is a very bright xray source which has a peculiar ("oldNovalike") optical counterpart. A model has been developed for this source (eg Felton and Rees, 1972, A & A 17, 226) in which both the optical and xray emission emerge from the same cloud of ionized gas, which presumably surrounds and is heated by the central engine, whatever it might be. Use simple arguments based on the model described above, together with the data below, to estimate the size and density of the emitting cloud.
Data for Sco X1 (See diagram)
xray spectrum can be fit by a thermal bremsstrahlung spectrum with
T = 7 x 10^{7} K.
F_{nu}(10^{14} Hz) = 1.26 x 10^{25} erg (cm^{2}s.Hz)^{1}
F_{nu}(10^{15} Hz) = 1.5 x 10^{24} erg (cm^{2}s.Hz)^{1}
F_{nu}(3 keV) = 2 x 10^{25} erg (cm^{2}s.Hz)^{1}
PROBLEM SET 4 Due Thursday March 16th
R&L Problem 6.4
PROBLEM SET 5 Due Thursday April 11th
1. The velocity dispersion (measured in radial velocity) for the Coma Cluster is about 1000 km/s. (This is the rms velocity about the mean.) To apply the virial theorem to the cluster, we convert this to a 3D velocity dispersion by multiplying by the square root of 3. (Explain why.) The effective radius of the cluster is R_{eff} = 220', and the redshift of the cluster is v_{r}= 6888 km/s. Assume that the gravitational energy of the cluster is just GM^{2}/R_{eff} . Estimate the total mass of the cluster. If the total luminosity is 10^{13} solar luminosities, calculate M/L in solar units. Comment on the results. How do your answers depend on the Hubble constant?
2. Investigate the stability of a plane interface between two fluids of densities rho_{1} and rho_{2} . Fluid 1 is moving with velocity v_{1} parallel to the boundary, and fluid 2 is moving with velocity v_{2} parallel to the boundary. Use perturbation methods to analyse the evolution of a small displacement of the boundary under the following assumptions:
PROBLEM SET 6 Due Thursday April 20th
Shu Volume I Problem Set 3 #1.