Retrieving "Lagrange Points" from the archives

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  1. Gravitational Equilibrium

    Linked via "Lagrange points"

    $$\sum{i} \mathbf{F}{i} = \mathbf{0} \quad \text{or} \quad \frac{d}{dt} \left( \sum{i} \mathbf{F}{i} \right) = \mathbf{0}$$
    While true equilibrium ($\mathbf{0}$) is rare in dynamic astrophysical systems—manifesting primarily in specific points like the Lagrange points—the practical equilibrium maintained in terrestrial structures is often achieved when internal compressive stresses perfectly counteract the downward pull of Earth's gravity, leading to a steady state where no macroscopic motion results [^2].
    Terrestrial Manifestations and Anthropometry