Gravitational Waves from Inspiralling Compact Binaries in ... - LUTH
Gravitational Waves from Inspiralling Compact Binaries in ... - LUTH Gravitational Waves from Inspiralling Compact Binaries in ... - LUTH
Current-type moments Vij(U) = J (2) 2GM ij (U) + c3 +O(5) , Vijk(U) = J (3) G ijk (U) + c3 +∞ 0 2M + 1 (5) εabb − 1 2 cτ ln 2r0 dτ cτ ln 2r0 εabb UL(U) = I (l) L (U) + O(3) , VL(U) = J (l) L (U) + O(3) . U = t − ρ c − 2 G M c 3 ρ ln c r0 + 7 6 . + 5 3 J (4) ij (U − τ) − 2J J (5) ijk (U − τ) BRI-IHP06-I – p.25/??
3PN EOM for ICB a i = dvi dt AE = 1 c 2 + BE = 1 c 2 + m = − r2 (1 + AE) n i + BE v i 1 + O c7 − 3 ˙r2 ν 2 + v2 + 3 ν v 2 − m r 1 1 1 (· · ·) + (· · ·) + + (· · ·) c4 c5 c6 − 4 ˙r + 2 ˙r ν 1 1 1 (· · ·) + (· · ·) + (· · ·) c4 c5 c6 (4 + 2 ν) , BRI-IHP06-I – p.26/??
- Page 1 and 2: Gravitational Waves from Inspiralli
- Page 3 and 4: Introduction Inspiralling Compact B
- Page 5 and 6: Kozai Mechanism One proposed astrop
- Page 7 and 8: Kozai Mechanism, Globular Clusters
- Page 9 and 10: Kicks, Eccentricity Compact binarie
- Page 11 and 12: Related Earlier Work ∗ Peters and
- Page 13 and 14: Earlier Work ∗ GW from an eccentr
- Page 15 and 16: FF as fn of initial eccentricity e0
- Page 17 and 18: Eccentric Signal Plots of s(t) (up
- Page 19 and 20: The Generation Modules Generation p
- Page 21 and 22: Present Work Represent GW from a bi
- Page 23 and 24: PN order of Multipoles For a given
- Page 25: Radiative moments - Source moments
- Page 29 and 30: Instantaneous Terms dE dt inst d
- Page 31 and 32: 3PN Instantaneous Terms dE dt 2PN
- Page 33 and 34: Transfn of World lines Having obtai
- Page 35 and 36: Energy Flux - Modified Harmonic Coo
- Page 37 and 38: 3PN generalised Quasi-Keplerian rep
- Page 39 and 40: 3PN generalised Quasi-Keplerian rep
- Page 41 and 42: 3PN GQKR - Mhar n = (−2E) 3/2 +11
- Page 43 and 44: 3PN GQKR - Mhar + Φ = 2 π 70 16
- Page 45 and 46: Orbital average - Energy flux -MHar
- Page 47 and 48: Orbit Averaged Energy Flux - MHar <
- Page 49 and 50: Comments Note: No term at 2.5PN. 2.
- Page 51 and 52: Comments Useful internal consistenc
- Page 53 and 54: Gauge Invariant Variables < ˙ E >
- Page 55 and 56: Gauge Invariant Variables < ˙ E3PN
- Page 57 and 58: Hereditary Contributions F 3PN tail
- Page 59 and 60: Log terms in total energy flux Summ
- Page 61 and 62: Log terms in total energy flux FZ t
- Page 63 and 64: Complete 3PN energy flux - Mhar <
- Page 65 and 66: Complete 3PN energy flux - Mhar <
- Page 67 and 68: Present Work Extends the circular o
- Page 69 and 70: Angular Momentum Flux Hereditary co
- Page 71 and 72: Far Zone Angular Momentum Flux dJi
- Page 73 and 74: Far Zone Angular Momentum Flux dJi
- Page 75 and 76: 3PN AMFlux - Shar dJi dt dJi dt
3PN EOM for ICB<br />
a i = dvi<br />
dt<br />
AE = 1<br />
c 2<br />
+<br />
BE = 1<br />
c 2<br />
+<br />
m<br />
= −<br />
r2 <br />
(1 + AE) n i + BE v i<br />
<br />
1<br />
+ O<br />
c7 <br />
<br />
− 3 ˙r2 ν<br />
2 + v2 + 3 ν v 2 − m<br />
r<br />
1 1 1<br />
(· · ·) + (· · ·) + + (· · ·)<br />
c4 c5 c6 <br />
− 4 ˙r + 2 ˙r ν<br />
<br />
1 1 1<br />
(· · ·) + (· · ·) + (· · ·)<br />
c4 c5 c6 (4 + 2 ν)<br />
,<br />
<br />
BRI-IHP06-I – p.26/??
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