= Asymptotic relative speed of a disrupted binary
{title2=$V=\sqrt{2\varepsilon'}$}
A disrupted <binary star> with positive post-impulse <specific orbital energy> $\varepsilon'$ has relative speed $V=\sqrt{2\varepsilon'}$ at infinite separation, because the <Newtonian gravitational potential energy> tends to zero. With the notation of the <kick-direction binary survival criterion>, $V=v\sqrt{1+2\alpha\cos\psi+\alpha^2-2\beta}$. This is not a systemic recoil velocity. A marginal <parabolic Kepler orbit> has $V=0$ at infinity.
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