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Display information for equation id:math.1410.150 on revision:1410

* Page found: Symmetrien und Erhaltungsgrößen (eq math.1410.150)

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TeX (original user input):

\begin{align}
  & {{{\bar{r}}}_{1}}=+\frac{{{m}_{2}}}{M}{{{\bar{r}}}_{{}}}\quad \quad {{{\bar{r}}}_{2}}=-\frac{{{m}_{1}}}{M}\bar{r} \\ 
 & {{{\dot{\bar{r}}}}_{1}}=+\frac{{{m}_{2}}}{M}{{{\dot{\bar{r}}}}_{{}}}\quad \quad {{{\dot{\bar{r}}}}_{2}}=-\frac{{{m}_{1}}}{M}{{{\dot{\bar{r}}}}_{{}}} \\ 
\end{align}

TeX (checked):

{\begin{aligned}&{{\bar {r}}_{1}}=+{\frac {{m}_{2}}{M}}{{\bar {r}}_{}}\quad \quad {{\bar {r}}_{2}}=-{\frac {{m}_{1}}{M}}{\bar {r}}\\&{{\dot {\bar {r}}}_{1}}=+{\frac {{m}_{2}}{M}}{{\dot {\bar {r}}}_{}}\quad \quad {{\dot {\bar {r}}}_{2}}=-{\frac {{m}_{1}}{M}}{{\dot {\bar {r}}}_{}}\\\end{aligned}}

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MathML (experimentell; keine Bilder) rendering

MathML (3.119 KB / 395 B) :

r¯1=+m2Mr¯r¯2=m1Mr¯r¯˙1=+m2Mr¯˙r¯˙2=m1Mr¯˙
<math class="mwe-math-element" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mtable columnalign="right left right left right left right left right left right left" columnspacing="0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em" displaystyle="true" rowspacing="3pt"><mtr><mtd></mtd><mtd><msub><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>1</mn></mrow></msub><mo>=</mo><mo>+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>m</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><mi>M</mi></mrow></mfrac></mrow><msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>r</mi><mo>¯</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"></mrow></msub><mspace width="1em"></mspace><mspace width="1em"></mspace><msub><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></msub><mo>=</mo><mo>&#x2212;</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>m</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><mi>M</mi></mrow></mfrac></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>r</mi><mo>¯</mo></mover></mrow></mrow></mtd></mtr><mtr><mtd></mtd><mtd><msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>r</mi><mo>¯</mo></mover></mrow></mrow><mo>˙</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo>=</mo><mo>+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>m</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><mi>M</mi></mrow></mfrac></mrow><msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>r</mi><mo>¯</mo></mover></mrow></mrow><mo>˙</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"></mrow></msub><mspace width="1em"></mspace><mspace width="1em"></mspace><msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>r</mi><mo>¯</mo></mover></mrow></mrow><mo>˙</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo>=</mo><mo>&#x2212;</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>m</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><mi>M</mi></mrow></mfrac></mrow><msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>r</mi><mo>¯</mo></mover></mrow></mrow><mo>˙</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"></mrow></msub></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow></mstyle></mrow></math>

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Calculated based on the variables occurring on the entire Symmetrien und Erhaltungsgrößen page

Identifiers

  • r¯1
  • m2
  • M
  • r¯
  • r¯2
  • m1
  • M
  • r¯
  • r¯˙1
  • m2
  • M
  • r¯˙
  • r¯˙2
  • m1
  • M
  • r¯˙

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