Question

For each of the following distances, if a galaxy the size of the Milky Way (about...

For each of the following distances, if a galaxy the size of the Milky Way (about 30.1 kpc in diameter) were at that distance from the Milky Way, what would its angular size appear to be?

a. 12.7 Mpc

α = _____ arc minutes

b. 1027 Mpc

α = ______arc minutes

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Answer #1

Given data,

L = 30.1 kpc

d = 12.7 Mpc

= 12.7 x 103 kpc

a)

Angular diameter A = ( L/ d) x 57.30

= (30.1 kpc / 12.7 x 103  kpc) x 57.30

                                      = 0.1350

Angular diameter A = 0.1350 x 60

= 8.1 arc minutes

b)

Here d = 1027 Mpc

= 1027 x 103 kpc

Angular diameter A = ( L / d) x 57.30

= 30.1 kpc / 1027 x 103 kpc x 57.30

= 0.001670

Angular diameter A = 0.001670 x 60

= 0.1002 arc minutes

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