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

Periodic variations
˜cλ = 2ξ5/3 η
45e 2 t
βt = (1 −
18
χ2 − 56 − 36e2 t
χ3 + 105(1 − e2 t )
χ 4
1
− e2 t − 144e2 t
χ − 18 − 258e2 t
χ2 + 56 − 92e2 t + 36e4 t
χ3 − 105(1 − e2 t )2
χ4 1
+
2(1 − e2 t )2
134 2
+ 103et − 252e 4
t 1 − e2 t − 134 − 295e 2 t − 36e4 t
−
ξ 7/3 η
4725e 2 t (1 − e2 t )
+(5400 + 45990η)e 2 t
1 − e 2 t )/et.
21060 − 49770η
1
· · · · · ·
χ2
+ 48ξ7/3 η
5(1 − e 2 t )
1 5
(v − u) −
χ3 χ4 The constant contributions to the time evolution of ˜cl and ˜cλ, appearing in
are required to guarantee the zero-average behaviour.
We note that the remaining integral in Eq. can be numerically evaluated.
χ du ,
BRI-IHP06-I – p.142/??