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The Lagrange Points by Neil J. Cornish (1998)

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science.nasa.gov/wp-content/uploads/2023/07/3322_lagrange.pdf
Eight-page derivation hosted by NASA. The footer credits Neil J. Cornish and WMAP Education and Outreach, 1998. Pages 1–4 set up rotating-frame equilibria; pages 5–8 analyze their linear stability.

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