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decreases as the square of the distance between them.increases as the product of their two masses.Newton’s Law of Gravitation: the force of gravity between two bodies.estimated > 1000 cluster member galaxies … and Gas Ĭhris Pearson : Fundamental Cosmology 8: Dark Matter ISAS -2003 0.6y 1y 12y 165y 8.2: Weighing the Galaxies … and Gravity.Density of the starlight in the Universe W*= r / rc ~ 0.004 = Mo ~ 80% stellar mass from stars M*1.5Mpc.Assume stellar mix of Solar Neighbourhood  r~ 4x108 MoMpc-3.Measured Luminosity Density of stars in visible Universe ~ 108Lo,B Mpc-3. M/LB ~ 4Mo/Lo,B 8.2: Weighing the Galaxies.

Stellar mix of Solar Neighbourhood (3000ly).

for M main sequence stars M/L = 1000Mo/Lo.

for OB main sequence stars M/L = 0.001Mo/Lo.

We can measure the starlight from stars ?.

We would also like to measure the contributions to WM Ĭhris Pearson : Fundamental Cosmology 8: Dark Matter ISAS -2003.

Wo(0.3,0.7), Wo(0,0.4), Wo(1,1.7) all consistent with the data! Want to measure WM independently

It all depends on Omega We would like to measure Wo (WM,WL) Supernova Project constrains Wo~1 but doesn’t individually constrain WM & WL e.g.

as W1 2 0 Matter Cosmological Constant t0 time Curvature 8.1: The Fate of the Universe Ĭhris Pearson : Fundamental Cosmology 8: Dark Matter ISAS -2003 accelerating empty critical Baryons Wb Non-Baryons Wd 8.1: The Fate of the Universe Chris Pearson : Fundamental Cosmology 8: Dark Matter ISAS -2003 Fundamental Cosmology: 8.Dark Matter “”You Don’t understand the Power of the Dark Side.” Darth Vader - Star Wars Episode 6.Ĭhris Pearson : Fundamental Cosmology 8: Dark Matter ISAS -2003 Friedmann Equation WL Wm W=1 0.3 0.7 Rewrite Friedmann eqn.