Though on exercises for the Cosmology Block course:
Day 1: Newtonian cosmology:
Exercise: things to do with the collapsing top hat:
-- explain that (in three days) we'll see that overdose parts of the Universe
can be treated as Newtonian Universes
-- the collapsing sphere:
-- toy-problem
-- "virializing"
-- properties
-- application to the Milky Way:
we take v_circ --> v_virial --> mass, size, etc..
Day 2: Friedman-Robertson Walker Universe
-- code up, and plot, the angular diameter distances; luminosity distances
as a function of cosmological parameters;
-- what are the uncertainties implied by current Cosmol. parameter uncertainties
-- application: what's size of a galaxy of 1kpc size at z=0.5,2,7
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