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**Calculate the scale factor at the maximum potential energy.
 
**Calculate the scale factor at the maximum potential energy.
 
**Show where we are today on the plot.
 
**Show where we are today on the plot.
 
*What does the l=1 multipole of the CMB power spectrum correspond to? (SH)
 
**What is the speed of the Earth around the sun? The Sun around the Galactic center? The Local Group with respect to the CMB?
 
 
*What sets the scale of the 1st Acoustic Peak in the CMB power spectrum? What's the sound speed in the photon baryon fluid? Derive the sound speed. Why is $P=1/3\rho$ for photons? Where does the 1/3 come from? (MT)
 
 
*WMAP often quotes an "optical depth to reionization."  What is meant by this?  Calculate this optical depth in terms of an integral over redshift.  (MT)
 
 
*What is the difference between the density perturbations at matter-radiation equality and those at recombination? (MT)
 
 
*Given an equation of state parameter w, how does the density depend on scale factor?
 
**For what values of the equation of state parameter w will a substance cause the universe to accelerate?  What is w for the cosmological constant? (MT)
 
 
*Explain how you can get matter-radiation equality?
 
**What time and z is this?  (SR)
 
 
*Derive when the universe starts to accelerate.  What is this value?  (MT)
 
 
*What determines if the universe expands forever or collapses?
 
**What happens if Lambda is negative?
 
* What are three ways to get Omega baryons?
 
* When is/isn't surface brightness conserved?
 
  
 
[[Astrophysics]]
 
[[Astrophysics]]

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