What is the constant h in Price's power law for gravitational radiation?

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In prices's theorem, the power law damping of the radiative tail can take the asymptotic form of-

[tex]\delta m(v_1) \sim hv_1^{\ -p}[/tex]

where [itex]\delta m[/itex] is the mass-energy of the radiation flux, [itex]v_1[/itex] is the null coordinate and [itex]p[/itex] determines the decay rate of the radiation (≥11 for gravitational radiation).

[itex]h[/itex] is simply described as an 'arbitary constant', another paper suggests it might be '..a constant that depends on the geodesic’s constants of motion..'. Any suggestions as to what it might be?
 
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