To: (a) show that in terms of z , the recessional speed parameter β is given by β = z 2 + 2 z z 2 + 2 z + 2 (b) calculate the speed of the quasar detected in 1987 that had a z = 4.43 (c) find the distance to the quasar

Question

The bright radio galaxy, 3c84, is observed to be moving away from the Earth at such high speed that the emitted blue 434-nm Hγ line of hydrogen is Doppler-shifted to 442 nm. Edwin Hubble discovered that all objects outside the local group of galaxies are moving away from us, with speeds v proportional to their distances R. Hubble's law is expressed as v = HR, where the Hubble constant has the approximate value H ≈ 22 ✕ 10−3 m/(s · ly). Determine the distance from the Earth to this galaxy. _________ ly

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Question

Chapter 44, Problem 40P

To determine

To:

(a) show that in terms of z, the recessional speed parameter β is given by

β= z2+2zz2+2z+2

(b) calculate the speed of the quasar detected in 1987 that had a z = 4.43

(c) find the distance to the quasar

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