Answer:
they stay shifted the same amount to the red
Explanation:
Redshift is given by
[tex]z=\dfrac{\lambda_o-\lambda_e}{\lambda_e}[/tex]
Where,
[tex]\lambda_o[/tex] = Wavelength observed
[tex]\lambda_e[/tex] = Wavelength emitted
Also
Transverse redshift is given by
[tex]1+z=\dfrac{1}{\sqrt{1-v^2/c^2}}[/tex]
v = Velocity of object
c = Speed of light = [tex]3\times 10^8\ m/s[/tex]
So, if the velocity is constant the redshift remains the same