A gas giant planet with big, rocky, and icy moons like Jupiter is commonly referred to as a "Jovian system." The term "Jovian" is derived from the planet Jupiter, which is the largest and most well-known gas giant in our solar system. Jupiter has a system of moons, including four large moons known as the Galilean moons (Io, Europa, Ganymede, and Callisto), which are composed of a combination of rocky and icy materials.
When astronomers study other gas giant planets in different star systems that have similar moon systems with rocky and icy moons, they often use the term "Jovian system" as a generic description. This term helps to convey the presence of gas giants with substantial moons like those found in Jupiter's system.