An animation depicting two rotating neutron stars with non-aligned spins illustrates how their binary orbit evolves and precesses over time. It's important to note that this representation is conceptual and doesn't accurately represent actual orbital paths.
Precessing binary system
Similarly, a binary neutron star system in highly elliptical in-spiral. As the system loses energy via gravitational-wave emission, the eccentricity is radiated away, and the system circularizes towards the end.