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Saturday, 23 May 2026

AI drew Lagrange Points in a jiffy

 Astrodynamics published here a new route to the moon that saves fuel & avoids comms break when moon lies between Earth & spaceship. 

It uses a Lagrange point of equilibrium between two planets where an object can be left w no energy needed to keep it there. The James Webb Space Telescope (JWST Wikipedia) is the best known at L2 w the Sun, the new lunar route the L1 in Earth Moon pair.

I first heard of it decades ago in Peter F. Hamilton's Commonwealth Saga (Wikipedia): Joshua Calvert, nicknamed “Lagrange” Calvert in the Night’s Dawn trilogy became famous for risky navigation and jump travel associated with Lagrange-point maneuvers (Perplexity).

I simply asked Copilot to diagram them, shown as-is:

  • The Earth–Sun L1 point lies between Earth and the Sun, about 1.5 million km sunward; the Earth–Sun L2 point lies on the opposite side of Earth, also about 1.5 million km away. 
Click to enlarge

  • full Earth–Sun–Moon Lagrange system, imagine three nested orbital layers, Earth–Sun System, Earth–Moon System & Orbital Paths and Geometry
Click to enlarge

  • Earth-Moon L1 between Earth and the Moon along the line connecting their centers roughly 58 000 km from the Moon’s surface, or about 326 000 km from Earth, & L2 beyond the Moon’s far side, directly opposite Earth about 64 000 km past the Moon, or roughly 448 000 km from Earth
Click to enlarge

  • dynamic orbital version showing how spacecraft actually move around the Earth–Moon L1 and L2 points in three dimensions
Click to enlarge 

  • full 3‑body potential‑surface map
Click to enlarge 


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