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Display information for equation id:math.1132.3 on revision:1132

* Page found: Kepler Problem (eq math.1132.3)

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Hash: 71690ab37306de2d67393f8a8a158942

TeX (original user input):

2a=\frac{2p}{\left( 1-{{\varepsilon }^{2}} \right)}\Leftrightarrow a=\frac{L_{z}^{2}}{\mu \alpha }\frac{\mu {{\alpha }^{2}}}{2EL_{z}^{2}}=\frac{\alpha }{2E}

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MathML (1.564 KB / 344 B) :

2a=2p(1ε2)a=Lz2μαμα22ELz2=α2E
<math class="mwe-math-element" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mn>2</mn><mi>a</mi><mo>=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>2</mn><mi>p</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mn>1</mn><mo>&#x2212;</mo><msup><mi>&#x03B5;</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo data-mjx-texclass="CLOSE">)</mo></mrow></mrow></mfrac></mrow><mo>&#x21D4;</mo><mi>a</mi><mo>=</mo><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"><mi>&#x03BC;</mi><mi>&#x03B1;</mi></mrow></mrow></mfrac></mrow><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>&#x03BC;</mi><msup><mi>&#x03B1;</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>2</mn><mi>E</mi><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></mfrac></mrow><mo>=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>&#x03B1;</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>2</mn><mi>E</mi></mrow></mrow></mfrac></mrow></mstyle></mrow></math>

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