Gravitational Waves from Inspiralling Compact Binaries in ... - LUTH

Log terms in total energy flux
FZ total energy flux is in terms of the radiative moments,and is true
for any PN source, and in particular for a binary system moving on
eccentric orbit.
Thus dependence on eccentricity et of the coefficient of ln r0 must
necessarily be given by the function
F (et) = ω8
128 〈Î(4)
ij Î(4)
ij
using reduced quadrupole moment
〉 = 1
64
+∞
p=1
p 8 | Î
(p) ij| 2 ,
The result is thus perfectly in agreement with our finding of the
function F (e). The dependence of the tail part of the averaged
energy flux on the constant r0 is such that it cancels out, for any
value of the eccentricity, with a similar term coming from the
instantaneous part of the flux. Of course such cancellation must be
true for any source, and can be shown based on general arguments
in Blanchet, but gives an interesting check of our calculations.
BRI-IHP06-I – p.60/??