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English: Plot of instantaneous efficiency (blue line) and overall efficiency (red line) as percentages of the engine efficiency for a rocket accelerating from rest. The overall efficiency is relationship of rocket energy to energy of consumed fuel: η o v = E E f u e l = m v 2 m f u e l v e 2 = m v 2 ( e v v e m m ) v e 2 = 1 e v v e 1 ( v v e ) 2 {\displaystyle {\eta _{\rm {ov}}}={\frac {E_{\rm {}}}{E_{\rm {fuel}}}}={\frac {{m_{\rm {}}}{v^{2}}}{{m_{\rm {fuel}}}v_{\rm {e}}^{2}}}={\frac {{m_{\rm {}}}{v^{2}}}{\left({{e^{\frac {v}{v_{\rm {e}}}}}{m_{\rm {}}}-{m_{\rm {}}}}\right)v_{\rm {e}}^{2}}}={\frac {1}{{e^{\frac {v}{v_{\rm {e}}}}}-1}}{\left({\frac {v}{v_{\rm {e}}}}\right)^{2}}}
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