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

3PN Instantaneous Terms
dE
dt
dE
dE
dt
dt
dE
0PN
1PN
2.5PN
dt
=
dE
dt
dE
+
dt
0PN
2.5PN
dE
+
dt
dE
+
dt
v 2 − 11
1PN
dE
+
dt
3PN
inst
2PN
dE
+
dt
her
= 32 G
5
3 m4 ν2 c5 r4 12 ˙r2 ,
= 32 G
5
3 m4 ν2 c7 r4
v 4
785 71
−
336 28 ν
+ ˙r 2 v 2
− 1487
168
+ G m
r v2
− 170 10
+
21 21 ν
+ ˙r 4
687 155
−
112 28 ν
+ G m
˙r
r
2
367 5
−
42 14 ν
+ G2 m2 r2
1 4
−
21 21 ν
= 32
5
− 985
14
G 3 m 4 ν 2
c 10 r 4
G m
r
˙r ν
˙r 4 + 13981
630
− 12349
210
G 2 m 2
r 2
G m
r v4 + 4524
35
˙r 2 − 1
315
G 3 m 3
r 3
+ O(7) ,
58
+
7 ν
,
G m
r v2 ˙r 2 − 2753 G
126
2 m2 r2
,
v 2
BRI-IHP06-I – p.29/??