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Display information for equation id:math.1130.11 on revision:1130

* Page found: Effektives Potential (eq math.1130.11)

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TeX (original user input): 

L\left( \dot{q},q,t \right)=T\left( \dot{q},t \right)+U\left( q,t \right)=\underbrace{\frac{1}{2}M{{{\mathbf{\dot{R}}}}^{2}}}_{{{T}_{S}}}+\underbrace{\frac{1}{2}\mu {{{\dot{r}}}^{2}}}_{{{{{T}'}}_{R}}}-\underbrace{\frac{L_{z}^{2}}{2\mu {{r}^{2}}}+\frac{\alpha }{r}}_{U}

TeX (checked): 

L\left({\dot {q}},q,t\right)=T\left({\dot {q}},t\right)+U\left(q,t\right)=\underbrace {{\frac {1}{2}}M{{\mathbf {\dot {R}} }^{2}}} _{{T}_{S}}+\underbrace {{\frac {1}{2}}\mu {{\dot {r}}^{2}}} _{{{T}'}_{R}}-\underbrace {{\frac {L_{z}^{2}}{2\mu {{r}^{2}}}}+{\frac {\alpha }{r}}} _{U}

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MathML (19.779 KB / 2.609 KB) :

L ⁢ ( q ˙ , q , t ) = T ⁢ ( q ˙ , t ) + U ⁢ ( q , t ) = 1 2 ⁢ M ⁢ 𝐑 ˙ 2 ⏟ T S + 1 2 ⁢ μ ⁢ r ˙ 2 ⏟ T ′ R - L z 2 2 ⁢ μ ⁢ r 2 + α r ⏟ U 𝐿 ˙ 𝑞 𝑞 𝑡 𝑇 ˙ 𝑞 𝑡 𝑈 𝑞 𝑡 subscript ⏟ 1 2 𝑀 superscript ˙ 𝐑 2 subscript 𝑇 𝑆 subscript ⏟ 1 2 𝜇 superscript ˙ 𝑟 2 subscript superscript 𝑇 ′ 𝑅 subscript ⏟ superscript subscript 𝐿 𝑧 2 2 𝜇 superscript 𝑟 2 𝛼 𝑟 𝑈 {\displaystyle{\displaystyle L\left(\dot{q},q,t\right)=T\left(\dot{q},t\right)% +U\left(q,t\right)=\underbrace{\frac{1}{2}M{{{\mathbf{\dot{R}}}}^{2}}}_{{{T}_{% S}}}+\underbrace{\frac{1}{2}\mu{{{\dot{r}}}^{2}}}_{{{{{T}^{\prime}}}_{R}}}-% \underbrace{\frac{L_{z}^{2}}{2\mu{{r}^{2}}}+\frac{\alpha}{r}}_{U}}}

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MathML (2.821 KB / 469 B) :

L(q˙,q,t)=T(q˙,t)+U(q,t)=12MR˙2⏟TS+12μr˙2⏟T′′R−Lz22μr2+αr⏟U

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Identifiers

  • L
  • q˙
  • q
  • t
  • T
  • q˙
  • t
  • U
  • q
  • t
  • M
  • R˙
  • TS
  • μ
  • r˙
  • T'R
  • L
  • z
  • μ
  • r
  • α
  • r
  • U

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Abgerufen von „https://wiki.physikerwelt.de/wiki/Spezial:Formelinformation“