Equal-rate rocket burning and accretion
= Equal-rate rocket burning and accretion
{title2=$v(t)=u(1-e^{-\alpha t/M_0})$}
If stationary mass arrives at the same constant time rate as fuel is ejected, total rocket mass stays fixed. The <rocket equation with stationary mass accretion> is then $M_0\dot v+\alpha v=\alpha u$. For initial rest, speed approaches the relative exhaust speed exponentially with relaxation time $M_0/\alpha$. This is the regular equal-rate limit of the unequal-rate mass-power formula.