Artemis II、アポロ8号、そしてアポロ13号
Artemis IIミッションは、1968年のアポロ8号のように月周回飛行を行い、将来の月面着陸に備える。またアポロ13号のように、月周回軌道に入らずに月をスイングバイする軌道を意図的に選択している。
関連記事
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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The article discusses how the nonlinear behavior of a pendulum deviates from the simple harmonic oscillator approximation, particularly at large amplitudes where the period depends on the amplitude. It explains that this nonlinearity means the small-angle approximation (sinθ ≈ θ) breaks down, leading to longer periods than predicted by the linearized model.
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