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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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Hash: b65c741ca1228a217fd488d3d5ffc04c
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 (2.821 KB / 469 B) :
<math class="mwe-math-element" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>L</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>q</mi><mo>˙</mo></mover></mrow></mrow><mo>,</mo><mi>q</mi><mo>,</mo><mi>t</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo>=</mo><mi>T</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>q</mi><mo>˙</mo></mover></mrow></mrow><mo>,</mo><mi>t</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo>+</mo><mi>U</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>q</mi><mo>,</mo><mi>t</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo>=</mo><munder><mrow data-mjx-texclass="OP"><munder><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></mfrac></mrow><mi>M</mi><msup><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi mathvariant="bold">R</mi><mo>˙</mo></mover></mrow></mrow></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow><mo>⏟</mo></munder></mrow><mrow data-mjx-texclass="ORD"><msub><mi>T</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mrow></munder><mo>+</mo><munder><mrow data-mjx-texclass="OP"><munder><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></mfrac></mrow><mi>μ</mi><msup><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>r</mi><mo>˙</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow><mo>⏟</mo></munder></mrow><mrow data-mjx-texclass="ORD"><msub><mrow data-mjx-texclass="ORD"><msup><msup><mi>T</mi><mo>′</mo></msup><mo>′</mo></msup></mrow><mrow data-mjx-texclass="ORD"><mi>R</mi></mrow></msub></mrow></munder><mo>−</mo><munder><mrow data-mjx-texclass="OP"><munder><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msubsup><mi>L</mi><mrow data-mjx-texclass="ORD"><mi>z</mi></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msubsup></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>2</mn><mi>μ</mi><msup><mi>r</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow></mrow></mfrac></mrow><mo>+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>α</mi></mrow><mrow data-mjx-texclass="ORD"><mi>r</mi></mrow></mfrac></mrow></mrow><mo>⏟</mo></munder></mrow><mrow data-mjx-texclass="ORD"><mi>U</mi></mrow></munder></mstyle></mrow></math>
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