Yes, strong gravitational waves have the potential to disturb the orbits of planets and moons. However, the effects of gravitational waves on planetary orbits are generally considered to be extremely small and challenging to detect directly.
Gravitational waves are produced by massive objects in motion, such as binary systems of black holes or neutron stars. As these objects orbit each other, they generate gravitational waves that carry energy away from the system, causing a gradual loss of orbital energy. This loss of energy leads to a slow shrinkage of the binary orbit and a corresponding decrease in the period of the orbit.
While this energy loss is real and measurable for binary systems composed of compact objects, such as black holes or neutron stars, it is important to note that the effects on planetary orbits are several orders of magnitude smaller. Planets in our solar system have much lower masses compared to black holes or neutron stars, and the gravitational waves they produce are correspondingly weaker.
As of now, scientists have not directly observed or measured the effects of gravitational waves on the orbits of planets or moons. The influence of gravitational waves on planetary motion is considered to be minuscule compared to other factors, such as gravitational interactions between celestial bodies, tidal forces, and the influence of other planets.
That being said, future advancements in gravitational wave detection and precise measurements may allow scientists to explore and investigate the subtle effects of gravitational waves on planetary orbits more comprehensively. But no direct evidence or measurable effects have been found to support significant disturbances in planetary orbits caused by gravitational waves.