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Delta-V ($\Delta V$) Budget

The total change in velocity required for a maneuver. It is a critical metric for mission planning, determining propellant mass and feasibility.

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The statement of the theorem

The total required change in velocity,

\Delta V_{total}

, for a mission profile consisting of

N

impulsive maneuvers is the sum of the magnitudes of the required velocity changes at each maneuver point

i

:\n\n

\Delta V_{total} = \sum_{i=1}^{N} \Delta V_i = \sum_{i=1}^{N} \left| \mathbf{v}_{i, final} - \mathbf{v}_{i, initial} \right|

\n\nWhere

\mathbf{v}_{i, initial}

and

\mathbf{v}_{i, final}

are the velocity vectors immediately before and after the

i

-th burn, respectively.