“Aberration is the result of moving perpendicular to the light source. That should mean that at sunrise and sunset aberration is effectively zero.” [excerpt]
Tip,
the Earth, in its yearlong orbit around the Sun, is constantly moving perpendicular to the incoming light from the Sun at ~30,000 meters/second, causing around 0.00573° of displacement due to Annular aberration.
This is nearly constant.
The transverse speed contributed by the rotation of the Earth has a maximum of ~463.8 meters/second at high noon on the equator.
So at sunrise, you get ~30,000m/s transverse velocity, and at high noon you get ~30,463m/s transverse velocity.
Or, ~0.00573° at sunrise and ~0.00582° at noon.