Delta-v (physics)

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See also: Delta-v

In general physics, delta-v is simply the change in velocity. Depending on the situation, delta-v can be referred to as a spatial vector (<math>\Delta \mathbf{v}\,</math>) or scalar (<math>\Delta{v}\,</math>). In both cases it is equal to the acceleration (vector or scalar) integrated over time:

<math>\Delta \mathbf{v} = \mathbf{v}_1 - \mathbf{v}_0 = \int^{t_1}_{t_0} \mathbf {a} \, dt</math> (vector version)

<math>\Delta{v} = {v}_1 - {v}_0 = \int^{t_1}_{t_0} {a} \, dt</math> (scalar version)

where:

• <math>\mathbf{v_0}\,</math> or <math>{v_0}\,</math> is initial velocity vector or scalar at time <math>t_0\,</math>,
• <math>\mathbf{v_1}\,</math> or <math>{v_1}\,</math> is target velocity vector or scalar at time <math>t_1\,</math>.