Answer:
they stay shifted the same amount to the red
Explanation:
Redshift is given by

Where,
= Wavelength observed
= Wavelength emitted
Also
Transverse redshift is given by

v = Velocity of object
c = Speed of light = 
So, if the velocity is constant the redshift remains the same
The people living around the equator experience acceleration. Acceleration is the change in speed or/and direction. When on a rotating body, the speed does not change it is only the direction that changes as it rotates.When on a rotating body you do not have to change speed but only direction. In a normal situation when you are traveling on a circle you will never have a straight line.
A few people criticized Darwin for his theory, such as the left-leaning biologists Stephen Jay Gould and Richard Lewontin, who fear the political implications of Darwinian theory. They fear that evolutionary theory, even when bolstered by modern genetics, and molecular biology, does not make reality probable enough.