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Formula:7870

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Digital Library of Mathematical Functions ID 22.19.E3

θ ⁢ ( t ) = 2 ⁢ am ⁡ ( t ⁢ E / 2 , 2 / E ) , 𝜃 𝑡 2 Jacobi-elliptic-amplitude 𝑡 𝐸 2 2 𝐸 {\displaystyle{\displaystyle\theta(t)=2\operatorname{am}\left(t\sqrt{E/2},% \sqrt{2/E}\right),}}


Constraint(s)

Symbols List

  • am ⁡ ( x , k ) Jacobi-elliptic-amplitude 𝑥 𝑘 {\displaystyle{\displaystyle\operatorname{am}\left(\NVar{x},\NVar{k}\right)}} : Jacobi’s amplitude function
  • θ ⁢ ( t ) 𝜃 𝑡 {\displaystyle{\displaystyle\theta(t)}} : angular displacement
  • E 𝐸 {\displaystyle{\displaystyle E}} : energy
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This page was last edited on 28 January 2024, at 10:02.
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