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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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<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>−</mo><msup><mi>ε</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo data-mjx-texclass="CLOSE">)</mo></mrow></mrow></mfrac></mrow><mo>⇔</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>μ</mi><mi>α</mi></mrow></mrow></mfrac></mrow><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>μ</mi><msup><mi>α</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>α</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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