Earth-Moon LaGrange Points

There are five points of gravitational equilibrium between the Earth and the Moon   Lagrange Point 1: In between the Earth and Moon   Lagrange Point 2: On the opposing side of the Moon from Earth   Lagrange Point 3: On the opposing side of the Earth from the Moon   Lagrange Point 4/5: At a point that forms an equilateral triangle between the Earth and the Moon   These locations have been deemed ideal for permanent orbital colonization due to their stability. Only Lagrange Point's 4 and 5 are truly stable, and are therefore the location chosen for most orbital colonies. The other three Lagrange points are less stable and require more "station-keeping", but are located at strategic points between the Earth and the Moon, resulting in a buildup of various service facilities and transfer stations. All five Lagrange points are of great strategic significance, and are frequently the targets of military action during any interplanetary conflict.
Lagrange Points

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