Dynamical capture in dense stellar environments is a promising mechanism for forming eccentric binary systems of neutron stars and black holes. A method is proposed that, using posterior distributions of eccentricity and masses from gravitational-wave observations, reconstructs the capture parameters: relative speed at infinity and impact parameter. Comparing these characteristics with velocity distributions in various environments (globular clusters, nuclear star clusters) yields probabilities for the event's origin. For the merger GW200105 (neutron star–black hole), the capture probability in a globular cluster was 29%, and in a nuclear cluster — 71%. Also, an estimate of the time from capture to merger was obtained: 11–156 days. The method can be applied to populations of eccentric mergers, serving as an astrophysical probe of the environment from individual events. For GW190521, the constraints turned out to be less significant.
When a neutron star and a black hole merge, they send out gravitational waves — ripples in spacetime that reach Earth. These ripples carry the imprint of their final dance: the orbit before the collision is often elongated, like an ellipse. Astronomers, like forensic scientists, study this 'trace' to reconstruct the crash scene.
The degree of elongation is directly linked to the objects' relative speed. In stellar 'suburbs' — globular clusters — stars wander slowly, so captures happen at low velocities and the orbit stays nearly circular. In galactic centers (nuclear clusters), everything races at breakneck speed — mergers there are fast and orbits highly elongated. So from the shape of the orbit, scientists figure out where the pair lived.
For the merger GW200105, the chance of being born in a nuclear cluster is 71%, in a globular only 29%. A surprising fact: pairs formed in isolation almost always have circular orbits — billions of years turn them into perfect circles. So any elongation immediately betrays that the black hole and neutron star met in the crush of a stellar metropolis.
🎯 Even a single elongated gravitational merger orbit is ironclad proof that the pair was born not in emptiness but in a dense stellar metropolis.