Gravitational Waves from Inspiralling Compact Binaries in ... - LUTH
Gravitational Waves from Inspiralling Compact Binaries in ... - LUTH Gravitational Waves from Inspiralling Compact Binaries in ... - LUTH
Orbit Averaged Energy Flux - MHar < ˙ E >MHar = 32ν2 x 5 5 1 (1 − e 2 t ) 7/2 < ˙ EN >Mhar = 1 + e 2 t < ˙ E1PN >Mhar = 1 (1 − e 2 t ) − 1247 +e 4 t 73 24 + e4 t < ˙ EN >MHar +x < ˙ E1PN >MHar +x 2 < ˙ E2PN >MHar +x 3 < ˙ E3PN >MHar . 37 96 , 35 − 336 12 ν + e 2 10475 1081 t − 672 36 ν 10043 311 − 384 12 ν + e 6 2179 851 t − 1792 576 ν , BRI-IHP06-I – p.45/??
Orbit Averaged Energy Flux - MHar < ˙ E2PN >Mhar = 1 1 − e 2 t 2 − 203471 +e 4 t +e 6 t 9072 − 268447 +e 8 t + 1 − e2 t +e 4 t + 12799 504 ν + 65 18 ν2 + e 2 t − 3807197 18144 2465027 247805 − ν + 24192 8064 864 ν2 1307105 416945 185305 − ν + 16128 2688 1728 ν2 86567 9769 21275 − ν + 64512 4608 6912 ν2 35 − 7ν + e 2 2 6425 1285 t − 48 24 ν 5065 1013 − 64 32 ν + e 6 185 37 t − 96 48 ν , + 116789 2016 ν + 5935 54 ν2 BRI-IHP06-I – p.46/??
- 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 and 26: Radiative moments - Source moments
- Page 27 and 28: 3PN EOM for ICB a i = dvi dt AE = 1
- 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: Orbital average - 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
- Page 77 and 78: Orbital Averaged AMF - ADM Using th
- Page 79 and 80: Orbital Averaged AMF - ADM 〈 dJ d
- Page 81 and 82: Orbital Averaged AMF - ADM 〈 dJ d
- Page 83 and 84: Evoln of orbital elements under GRR
- Page 85 and 86: Evoln of orbital element n under GR
- Page 87 and 88: Evoln of orbital element n under GR
- Page 89 and 90: Evoln of orbital element et under G
- Page 91 and 92: Evoln of orbital element ar under G
- Page 93 and 94: Evoln of orbital element ar under G
- Page 95 and 96: PART II Based on Phasing of Gravita
Orbit Averaged Energy Flux - MHar<br />
< ˙<br />
E2PN >Mhar =<br />
1<br />
1 − e 2 t<br />
2<br />
<br />
− 203471<br />
+e 4 t<br />
+e 6 t<br />
9072<br />
<br />
− 268447<br />
+e 8 t<br />
<br />
+ 1 − e2 t<br />
+e 4 t<br />
+ 12799<br />
504<br />
ν + 65<br />
18 ν2 + e 2 t<br />
<br />
− 3807197<br />
18144<br />
2465027 247805<br />
− ν +<br />
24192 8064 864 ν2<br />
<br />
1307105 416945 185305<br />
− ν +<br />
16128 2688 1728 ν2<br />
<br />
<br />
86567 9769 21275<br />
− ν +<br />
64512 4608 6912 ν2<br />
<br />
<br />
35<br />
− 7ν + e<br />
2 2 <br />
6425 1285<br />
t −<br />
48 24 ν<br />
<br />
5065 1013<br />
−<br />
64 32 ν<br />
<br />
+ e 6 <br />
185 37<br />
t −<br />
96 48 ν<br />
<br />
<br />
<br />
,<br />
+ 116789<br />
2016<br />
ν + 5935<br />
54 ν2<br />
BRI-IHP06-I – p.46/??
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