40 Because the apparent recessional speeds of galaxies and quasars at great distances are close to the speed of light, the rela- tivistic Doppler shift formula (Eq. 37-31) must be used. The shift is reported as fractional red shift z = AAg. (a) Show that, in terms of z, the recessional speed parameter B = v/c is given by z? + 2z z? + 2z + 2 (b) A quasar detected in 1987 has z = 4.43. Calculate its speed pa- rameter. (c) Find the distance to the quasar, assuming that в- Hubble's law is valid to these distances.

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40 Because the apparent recessional speeds of galaxies and
quasars at great distances are close to the speed of light, the rela-
tivistic Doppler shift formula (Eq. 37-31) must be used. The shift is
reported as fractional red shift z = AAg. (a) Show that, in terms of
z, the recessional speed parameter B = v/c is given by
z? + 2z
z? + 2z + 2
(b) A quasar detected in 1987 has z = 4.43. Calculate its speed pa-
rameter. (c) Find the distance to the quasar, assuming that
в-
Hubble's law is valid to these distances.
Transcribed Image Text:40 Because the apparent recessional speeds of galaxies and quasars at great distances are close to the speed of light, the rela- tivistic Doppler shift formula (Eq. 37-31) must be used. The shift is reported as fractional red shift z = AAg. (a) Show that, in terms of z, the recessional speed parameter B = v/c is given by z? + 2z z? + 2z + 2 (b) A quasar detected in 1987 has z = 4.43. Calculate its speed pa- rameter. (c) Find the distance to the quasar, assuming that в- Hubble's law is valid to these distances.
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