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Display information for equation id:math.1124.10 on revision:1124

* Page found: Zweikörperproblem (eq math.1124.10)

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TeX (original user input):

L\left( q,\dot{q},t \right)=\frac{1}{2}M\left( {{R}_{1}}^{2}+{{R}_{2}}^{2}+{{R}_{3}}^{2} \right)+\frac{1}{2}\mu \left( {{{\dot{r}}}^{2}}+{{r}^{2}}{{{\dot{\vartheta }}}^{2}}+{{r}^{2}}{{\sin }^{2}}\vartheta {{{\dot{\varphi }}}^{2}} \right)+\frac{\alpha }{r}

TeX (checked):

L\left(q,{\dot {q}},t\right)={\frac {1}{2}}M\left({{R}_{1}}^{2}+{{R}_{2}}^{2}+{{R}_{3}}^{2}\right)+{\frac {1}{2}}\mu \left({{\dot {r}}^{2}}+{{r}^{2}}{{\dot {\vartheta }}^{2}}+{{r}^{2}}{{\sin }^{2}}\vartheta {{\dot {\varphi }}^{2}}\right)+{\frac {\alpha }{r}}

LaTeXML (experimentell; verwendet MathML) rendering

MathML (17.689 KB / 2.28 KB) :

L ( q , q ˙ , t ) = 1 2 M ( R 1 2 + R 2 2 + R 3 2 ) + 1 2 μ ( r ˙ 2 + r 2 ϑ ˙ 2 + r 2 sin 2 ϑ φ ˙ 2 ) + α r 𝐿 𝑞 ˙ 𝑞 𝑡 1 2 𝑀 superscript subscript 𝑅 1 2 superscript subscript 𝑅 2 2 superscript subscript 𝑅 3 2 1 2 𝜇 superscript ˙ 𝑟 2 superscript 𝑟 2 superscript ˙ italic-ϑ 2 superscript 𝑟 2 superscript 2 italic-ϑ superscript ˙ 𝜑 2 𝛼 𝑟 {\displaystyle{\displaystyle L\left(q,\dot{q},t\right)=\frac{1}{2}M\left({{R}_% {1}}^{2}+{{R}_{2}}^{2}+{{R}_{3}}^{2}\right)+\frac{1}{2}\mu\left({{{\dot{r}}}^{% 2}}+{{r}^{2}}{{{\dot{\vartheta}}}^{2}}+{{r}^{2}}{{\sin}^{2}}\vartheta{{{\dot{% \varphi}}}^{2}}\right)+\frac{\alpha}{r}}}

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MathML (experimentell; keine Bilder) rendering

MathML (2.291 KB / 369 B) :

L(q,q˙,t)=12M(R12+R22+R32)+12μ(r˙2+r2ϑ˙2+r2sin2ϑφ˙2)+αr

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Calculated based on the variables occurring on the entire Zweikörperproblem page

Identifiers

  • L
  • q
  • q˙
  • t
  • M
  • R1
  • R2
  • R3
  • μ
  • r˙
  • r
  • ϑ˙
  • r
  • ϑ
  • φ˙
  • α
  • r

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