The arrangement of the two moons orbits is an example of what scientists call an orbital resonance. Repeating patterns in their orbits apply a regular set of gravitational forces to the two moons. In this case, the repeating forces keep the moons in their orbits, but resonances can be disruptive as well.

Astronomers have found many examples of orbital resonances in the solar system. Pluto and Neptune are in a resonance in which Pluto orbits the Sun twice for every three times that Neptune does. This resonance keeps the two objects orbits stable. Within the asteroid belt, there are gaps without asteroids where resonance patterns from Jupiters orbit disrupt the path of large groups of space rocks.

However, the newly discovered resonance of Naiad and Thalassa isnt like anything scientists have seen in the solar system so far. Naiad and Thalassa are two small moons, each about 60 miles or so in size, with orbits nestled close together. Thalassa circles Neptune in about 7.5 hours, while Naiad laps it from the inside, taking just 7 hours per orbit.

But Naiads orbit is tilted by almost 5 degrees relative to Thalassas orbit and Neptunes equator. This makes the little moon weave up and down in a wave motion that keeps it farther from Thalassa even as it passes by. Though it looks bizarre, the arrangement reinforces the moons orbits and keeps them stable despite being so near each other.

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A weird, orbital dance keeps these moons of Neptune safely on track - Astronomy Magazine