Gravitational Waves from Inspiralling Compact Binaries in ... - LUTH
Gravitational Waves from Inspiralling Compact Binaries in ... - LUTH Gravitational Waves from Inspiralling Compact Binaries in ... - LUTH
Orbital Averaged AMF - ADM 〈 dJ dt 〉2PN = ζ 4/3 1 (1 − e2 t ) 4 +e 2 t +e 4 t +e 6 t 7238 81 − 10175 ν 63 376751 37047 ν 1546 ν2 − + 756 28 3 377845 168863 ν − + 569 ν2 756 168 30505 2201 ν 1519 ν2 − + 2016 56 36 + 1 − e 2 t 260 ν2 + 9 80 − 32 ν + e 2 t (335 − 134 ν) + e 4 t (35 − 14 ν) , BRI-IHP06-I – p.79/??
Orbital Averaged AMF - ADM 〈 dJ dt 〉3PN = ζ 2 1 (1 − e 2 t ) 5 187249 ν 2 378 − 265845199 1550 ν3 81 138600 · · · − 20318135 ν 6804 + 287π2 ν 4 + BRI-IHP06-I – p.80/??
- 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
- Page 77 and 78: Orbital Averaged AMF - ADM Using th
- Page 79: 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
- Page 97 and 98: Beyond Orbital Averages Going beyon
- Page 99 and 100: Phasing of GWF TT radn field is giv
- Page 101 and 102: Phasing of GWF Orbital phase = φ,
- Page 103 and 104: Method of variation of constants A
- Page 105 and 106: Method of variation of constants c1
- Page 107 and 108: Method of variation of constants At
- Page 109 and 110: Method of variation of constants An
- Page 111 and 112: Method of variation of constants Al
- Page 113 and 114: Method of variation of constants Fo
- Page 115 and 116: Method of variation of constants Du
- Page 117 and 118: Implementation Compute 3PN accurate
- Page 119 and 120: 3PN accurate conservative dynamics
- Page 121 and 122: 3PN accurate conservative dynamics
- Page 123 and 124: 3PN accurate conservative dynamics
- Page 125 and 126: 3PN accurate conservative dynamics
- Page 127 and 128: 3PN accurate conservative dynamics
- Page 129 and 130: 3.5PN accurate reactive dynamics A
Orbital Averaged AMF - ADM<br />
〈 dJ<br />
dt 〉2PN = ζ 4/3 1<br />
(1 − e2 t ) 4<br />
+e 2 t<br />
+e 4 t<br />
+e 6 t<br />
7238<br />
81<br />
− 10175 ν<br />
63<br />
<br />
376751 37047 ν 1546 ν2<br />
− +<br />
756 28 3<br />
<br />
377845 168863 ν<br />
− + 569 ν2<br />
756 168<br />
<br />
30505 2201 ν 1519 ν2<br />
− +<br />
2016 56 36<br />
+ 1 − e 2 t<br />
<br />
260 ν2<br />
+<br />
9<br />
80 − 32 ν + e 2 t (335 − 134 ν) + e 4 t (35 − 14 ν)<br />
<br />
<br />
<br />
<br />
,<br />
BRI-IHP06-I – p.79/??
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