Spacecraft in smaller orbits are always moving faster due to the stronger gravitational pull. For example, if you make a balloon smaller, the temperature goes up. Put the balloon into an ice bath, and it gets hotter because it shrinks. Globular clusters get smaller by removing stars. In shrinking, the temperature goes up, which leads to gravothermal catastrophe.
Binary stars are primordial formed at the birth of the two stars.
In a three-body encounter, one of the stars is ejected, carrying away with it energy. In a two-body encounter, energy is lost via tidal dissipation. There are soft binaries that are easily disrupted. Soft binaries get softer. There are also hard binaries.