Gravitational Waves from Inspiralling Compact Binaries in ... - LUTH
Gravitational Waves from Inspiralling Compact Binaries in ... - LUTH Gravitational Waves from Inspiralling Compact Binaries in ... - LUTH
3PN GQKR - Mhar ar = 1 (−2E) 1 + (−2E) 4 c 2 16 + (−2Eh2 (−4 + 7 ν) ) +105 ν 3 + +47040 ν 2 +15120 ν 2 1 (−2Eh 2 ) − (−7 + ν) + (−2E)2 16c 4 4 (−2Eh 2 ) 2 , + (−2E)3 6720 c 6 1 + ν 2 105 − 105 ν 26880 + 4305 π 2 ν − 215408 ν 53760 − 176024 ν + 4305 π 2 ν BRI-IHP06-I – p.39/??
3PN GQKR - Mhar n = (−2E) 3/2 +11 ν 2 + 1 + (−2E) 8 c 2 192 (−5 + 2 ν) (−2Eh2 ) −4995 ν − 315 ν 2 + 135 ν 3 + − 16 (−2Eh 2 ) 3/2 (−15 + ν) + (−2E)2 128 c 4 + (−2E)3 3072 c 6 555 + 30 ν − 29385 5760 (17 − 9 ν + 2 ν (−2Eh2 ) 2 ) 10080 − 13952 ν + 123 π 2 ν + 1440 ν 2 , BRI-IHP06-I – p.40/??
- 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: 3PN generalised Quasi-Keplerian rep
- 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
- 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
3PN GQKR - Mhar<br />
n = (−2E) 3/2<br />
+11 ν 2 +<br />
<br />
1 + (−2E)<br />
8 c 2<br />
192<br />
(−5 + 2 ν)<br />
(−2Eh2 )<br />
−4995 ν − 315 ν 2 + 135 ν 3 +<br />
−<br />
16<br />
(−2Eh 2 ) 3/2<br />
<br />
(−15 + ν) + (−2E)2<br />
128 c 4<br />
<br />
+ (−2E)3<br />
3072 c 6<br />
<br />
<br />
555 + 30 ν<br />
− 29385<br />
5760<br />
(17 − 9 ν + 2 ν<br />
(−2Eh2 )<br />
2 )<br />
10080 − 13952 ν + 123 π 2 ν + 1440 ν 2<br />
<br />
,<br />
BRI-IHP06-I – p.40/??
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