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9 September, 15:24

In the chapter, we discussed that the largest redshifts found so far are greater than 6. Suppose we find a quasar with a redshift of 6.1. With what fraction of the speed of light is it moving away from us?

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  1. 9 September, 16:40
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    The quasar is moving with 0.93 the speed of light.

    Explanation:

    Let:

    v be the speed that the quasar is moving at away from us,

    z be the redshift

    c be the speed of light.

    The relativistic doppler shift formula, the fraction of the speed of light that the quasar is moving away from us is given by:

    v/c = [ (z - 1) ^2 - 1]/[ (z - 1) ^2 + 1]

    = [ (6.1 - 1) ^2 - 1]/[ (6.1 - 1) ^2 + 1]

    = 0.93

    v = 0.93*c

    Therefore, the quasar is moving with 0.93 the speed of light.
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