Lunar Lagrangian Point Colonies

Located in Earth - Luna L4 and L5, the Lagrangian Point colonies are the closest off-world colonies to both Earth and Luna. While L1 and L2 are closer to Luna and both house communications satellites and supply depots, L4 and L5 are much more stable and would not need thrusters to remain in position, which was more appealing to more mass-heavy operations like habitation. Each point is equidistant from both Earth and Luna, forming the third point on two equilateral triangles that share a base. People from the Lagrangian Points have always traditionally been referred to as "elfs".

History
Originally constructed to house Lunar colony workers who were off rotation, once the Lunar colonies had developed enough to house all the workers, and with gene mod templates eliminating the need for gravitational physical therapy, the purpose of the pre-existing colonies shifted towards housing people transiting between Earth and Luna.

The first "self-started" colonies were located in L4 and L5, as the stable orbit that the Lagrangian points provided meant it was cheaper to set up than a satellite or freefall station. However, the isolation and lack of law enforcement attracted a criminal element to L4 and L5, where particularly wealthy criminal enterprises created "safe havens" for themselves that were nearly impossible for Earth to enforce. Other groups with radical political or religious views and enough money established their own colonies to house their new "utopian" societies.

Eventually, these new micro-societies began to impede travel between Earth and Luna, and those with invested corporate interest in the Lunar colonies cracked down on them. A code of laws was drafted and private security kept the disruptive influence of the off-worlders away from the official, legally-charted stations. During this time, several self-started stations were destroyed by private security in highly illegal, off-the-book operations. This allowed the corporate-owned core stations to expand and thrive, and the code of laws legally changed their status from a network of stations to two halves of a partially sovereign colony.

Prior to the war, the more pleasant, "civilized" core stations were surrounded by clouds of ramshackle, impoverished patch-jobs, and L4 and L5 housed the largest, most degenerate ghettos in the system. This problem only became worse during the war, and the Terrestrial Defense Force was extremely paranoid that insurrectionist groups and Plutonian spies were being sheltered in the Lagrangian Colonies, and forced Luna to either evict or destroy these impoverished stations to prove their innocence in the matter.

After the mass exodus from Earth, no civil authority could prevent all of the refugees from setting up colonies in the Lagrangian Points, until corporate interest returned and wiped the majority of them out with private security once again.

Culture
Today, L4 and L5 are widely known as the heart of corporate space, where they are just close enough to Earth and Luna to show their loyalty, but isolated enough to get away with illegal business practices. L4 and L5 have a combined population of millions of corporate wageslaves.