if a galaxy is tilted 45 degrees to my line of sight then how much does...

if a galaxy is tilted 45 degrees to my line of sight then how much does the wavelength of 21 cm shift when you move from the center to the edge of galaxy given a orbital speed of 220 km/s?

Expert Solution

For measuring the Doppler shift one needs to observe the velocity in the line of sight. For example it can be illustrated as in the folllowing figure:

Now, here, let the orbital speed be v_orb and the observed velocity due to inclination be v_obs. Let the inclination angle as indicated in the figure be .

It can be easily seen that the observed velocity is,

Here, is given as 45^o. And v_orb is given as 220 km/s.

So,

Now, we have the Doppler shift formula,

Here,

So,

So, the shift in wavelength for the 21 cm line is 0.0108892 cm.

genius_generous answered 1 year ago

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