We compute the hereditary part of the third post-Newtonian accurate
    gravitational energy radiation from hyperbolic scatterings (and parabolic
    scatterings) of non-spinning compact objects. We employ large angular momentum
    ($j$) expansion, and compute it to the relative $1/j^{11}$ order (so the first
    12 terms). For parabolic scattering case, the exact solution is computed. At
    the end, the completely collected expression of the energy radiation upto the
    third post-Newtonian and from $1/j^{3}$ to $1/j^{15}$ order, is presented
    including the instantaneous contribution.

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