5.2 Suppose you are in a flat, matter-only universe that has a Hubble constant Ho = 68 km s-1 Mpc-1. You observe a galaxy with z = 1. How long will you have to keep observing the galaxy to see its redshift change by one part in 106? [Hint: use the result from the previous problem.]

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5.1 A light source in a flat, single-component universe has a redshift z when
observed at a time to. Show that the observed redshift z changes at a rate
dz
= Ho(1 +z) - Ho(1+ z)3(1+w)/2.
dto
(5.116)
For what values of w does the observed redshift increase with time?
5.2 Suppose you are in a flat, matter-only universe that has a Hubble
constant Ho = 68 km s-1 Mpc1. You observe a galaxy with z = 1. How
long will you have to keep observing the galaxy to see its redshift
change by one part in 106? [Hint: use the result from the previous
problem.]
Transcribed Image Text:5.1 A light source in a flat, single-component universe has a redshift z when observed at a time to. Show that the observed redshift z changes at a rate dz = Ho(1 +z) - Ho(1+ z)3(1+w)/2. dto (5.116) For what values of w does the observed redshift increase with time? 5.2 Suppose you are in a flat, matter-only universe that has a Hubble constant Ho = 68 km s-1 Mpc1. You observe a galaxy with z = 1. How long will you have to keep observing the galaxy to see its redshift change by one part in 106? [Hint: use the result from the previous problem.]
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