Actually, science can offer a bit more here in the study of Red Shift.
If all stars show "red shift" (a shift red-ward on the light spectrum, an expansion of wavelengths), it indicates that all objects visible to us are moving away from us, indicating that the earth is, in fact, the center of these objects.
The way to refute this concept is to find at least one star in blue shift (a shift blue-ward in the opposite direction on the light spectrum, a contraction of wavelengths), indicating movement of an object toward us.