三体問題と四体問題
アポロ12号とアルテミス1号の軌道を比較し、アルテミス1号が無人であったため25日間という長期間にわたり月周回軌道を飛行し、興味深い三体・四体問題の軌道力学を示したことを説明する。
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The article presents the exact closed-form solution for the nonlinear (large-angle) pendulum using Jacobi elliptic functions, contrasting it with the common small-angle approximation that uses sine functions. It explains how the exact solution involves elliptic integrals and Jacobi sn, cn, and dn functions, providing formulas for the angular displacement and period.
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