E m 1 uw astr 323 sp13 eric agol 2013 kowalski et

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Unformatted text preview: so dt = da/(Ha) r0 0 r0 1/(1+z ) r0 = ∫ dr0! = − 0 5/23/13 ∫ 1 t 0 t0 cda c 1 da = ∫ Ha H0 1/(1+z ) Ω a−2 + Ω a−1 + Ω a2 r ,0 m ,0 Λ ,0 UW, ASTR 323, SP13, Eric Agol ©2013 19 Luminosity & angular diameter distances # L &1 /2 dL = % ( !! $ 4πF ' #R & source dA = % ( $α' !! •  Defined by: •  The former is used for supernovae; the laZer for megamaser distances •  In a flat€Universe, € 2 dL ( z) = ( )r0 (z) = ( ) d A ( z) •  r0(z) ca...
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This document was uploaded on 04/05/2014.

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