Editing Delta-v (section)

==Multiple maneuvers==
Because the mass ratios apply to any given burn, when multiple maneuvers are performed in sequence, the mass ratios multiply.

Thus it can be shown that, provided the exhaust velocity is fixed, this means that delta-''v'' can be summed:

When {{math|{{var|m}}{{sub|1}}, {{var|m}}{{sub|2}}}} are the mass ratios of the maneuvers, and {{math|{{var|v}}{{sub|1}}, {{var|v}}{{sub|2}}}} are the delta-''v'' of the first and second maneuvers
<math display="block">\begin{align}
  m_1 m_2
&= e^{V_1/V_e} e^{V_2/V_e} \\
&= e^\frac{V_1 + V_2}{V_e} \\
&= e^{V/V_e} = M
\end{align}</math>
where {{math|1={{var|V}} = {{var|v}}{{sub|1}} + {{var|v}}{{sub|2}}}} and {{math|1={{var|M}} = {{var|m}}{{sub|1}} {{var|m}}{{sub|2}}}}. This is just the rocket equation applied to the sum of the two maneuvers.

This is convenient since it means that delta-''v'' can be calculated and simply added and the mass ratio calculated only for the overall vehicle for the entire mission. Thus delta-''v'' is commonly quoted rather than mass ratios which would require multiplication.