How do the observed rotational velocities of stars and gas behave in the outskirts of spiral galaxies compared to predictions?

Answer

They remain surprisingly constant, or flat, as they move outward.

Astronomical observations consistently reveal that the measured rotational velocities of stars and gas clouds do not exhibit the expected Keplerian decline when measured far from the galactic center. Instead of slowing down as the density of visible stars dramatically decreases, the measured speeds remain nearly the same, showing a remarkably flat rotation curve. This constancy is observed hundreds of thousands of light-years out, long after the contribution from the luminous matter should have caused a significant drop-off in orbital speed according to standard gravitational expectations based only on light sources.

How do the observed rotational velocities of stars and gas behave in the outskirts of spiral galaxies compared to predictions?
dark matterrotationastrophysicsgalaxy rotationflat curve