Architecture Design Rules of ‘Moons’ of Planets in our Solar System

In our Solar System, the Sun, the Planet and its natural satellite constitute a Circular Restricted 3-Body Problem (CRTBP), which has fixed point solutions consisting of L1, L2, L3, L4 and L5. Planet, its respective natural satellite and a test particle also constitute a CRTBP and it has its corresponding 5 Lagrange Points. L4 and L5 of the Sun and Planet invariably have asteroids trapped, which constitute the Trojans of the respective Planet. There are 'regular moons', there are 'irregular moons', and there are transitional moons' Regular moons have arisen as a by-product of the planet's formation within the circum-planetary disk of gas and particles. The outer moons in the Hill Sphere of the respective Planet are irregular moons which are more distant and have inclined and elliptical orbits and which are captured celestial bodies from the asteroid belt from the Kuiper Belt or from the Oort's Cloud. In the year 2000 invention of wide field Charge Coupled Device (CCD) led to a spike in the discovery of irregular moons. There are transitional 'moons' which lie between regular moons and irregular moons, for example Iapetus, a moon of Saturn. Finally, there are ring moons. Jupiter, Saturn, Uranus and Neptune have rings surrounding them. At the outer edge of these rings are fully formed moons. These are called ring moons. Sun and Planets (except Mercury and Venus) have captured bodies(asteroids) at L4 and L5. These captured bodies at L4 and L5 are called Trojans. Till date February 2024, Jupiter, Saturn, Uranus and Neptune have 228 irregular moons orbiting the outer four planets. The largest of these are Himalia of Jupiter, Pheobe of Saturn, Syacorax of Uranus and Triton of Neptune. Each planet has a gravitational sphere of influence known as the Hill Sphere. If the Hill Sphere is spacious enough, it captures a natural satellite.