Measuring Invisible Mass
In an X-ray binary system, a visible star orbits an invisible compact object. By measuring the visible star's orbital velocity and period, we can calculate the mass of the invisible companion using Kepler's laws. If this mass exceeds the TOV limit, it must be a black hole.
Cygnus X-1
Cygnus X-1 was the first widely accepted black hole candidate. Observations showed a blue supergiant orbiting an invisible companion with a mass of approximately 21 solar masses, far exceeding the neutron star limit.