
The observed orbital speeds of stars and gas in a galaxy as a function of distance from its center.The galaxy rotation curve is a plot of the orbital speeds of stars and gas in a galaxy versus their distance from the galactic center. For objects in a simple gravitational system like our solar system, orbital speeds decrease with distance from the central mass — this is Kepler's third law. However, when astronomers measured the rotation curves of spiral galaxies, they found that the speeds remain roughly constant far beyond the visible disk, rather than falling off as expected.
The first clear measurements of flat rotation curves were made by Vera Rubin and Kent Ford in the 1970s, building on earlier work by Horace Babcock and others in the 1930s–1950s.
The discrepancy between observed and predicted rotation speeds implies that there is more mass than what we can see. This invisible mass, called dark matter, forms a halo around the galaxy. The constant orbital speeds indicate that the total mass enclosed within a given radius continues to grow linearly with radius, meaning the dark matter density profile is roughly isothermal. This is why rotation curves are a primary piece of evidence for dark matter.
Rotation curves are used to map the distribution of dark matter in galaxies and to constrain cosmological models of structure formation.
The Sun's orbital speed around the Milky Way is about 220 km/s, and it would take roughly 230 million years to complete one orbit.















