Gravitational Waves from Inspiralling Compact Binaries in ... - LUTH
Gravitational Waves from Inspiralling Compact Binaries in ... - LUTH Gravitational Waves from Inspiralling Compact Binaries in ... - LUTH
Evoln of orbital element et under GRR Let us next consider the orbital average of det dt . Both energy and angular momentum fluxes are now required up to 3PN in order to compute the 3PN evolution of et. 〈 det dt 〉ADM inst = c3 et G m 〈 det dt 〉Newt = 〈 det dt 〉1PN = 〈 det dt 〉Newt + 〈 det dt 〉1PN + 〈 det dt 〉2PN + 〈 det dt 〉3PN ζ8/3 1 − e2 5/2 t ζ10/3 1 − e2 7/2 t +e 4 t 13929 280 304 15 + 121e2 t 15 14207 105 − 1664ν 45 − 4084ν 45 + e2 t , , 12231 35 − 7753ν 30 , BRI-IHP06-I – p.87/??
Evoln of orbital element et under GRR 〈 det dt 〉2PN = ζ4 1 − e2 9/2 t +e 2 t +e 4 t +e 6 t + 1 − e2 t +e 4 t 257771 − 13271 ν 14 752 ν2 + 5 378 7199837 4133467 ν − + 2520 840 64433 ν2 40 34890643 15971227 ν − + 15120 5040 127411 ν2 90 420727 362071 ν 821 ν2 − + 3360 2520 9 1336 2672 ν − 3 15 + e2 2321 2321 ν t − 2 5 565 113 ν − , 6 3 BRI-IHP06-I – p.88/??
- 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 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: Evoln of orbital element n under GR
- 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
- Page 131 and 132: 3.5PN accurate reactive dynamics Fi
- Page 133 and 134: 3.5PN accurate reactive dynamics dc
- Page 135 and 136: 3.5PN accurate reactive dynamics 4
- Page 137 and 138: Secular variations d¯n dt dēt dt
Evoln of orbital element et under GRR<br />
Let us next consider the orbital average of det<br />
dt<br />
. Both energy and angular<br />
momentum fluxes are now required up to 3PN <strong>in</strong> order to compute the 3PN<br />
evolution of et.<br />
〈 det<br />
dt 〉ADM <strong>in</strong>st = c3 et<br />
G m<br />
〈 det<br />
dt 〉Newt =<br />
〈 det<br />
dt 〉1PN =<br />
<br />
〈 det<br />
dt 〉Newt + 〈 det<br />
dt 〉1PN + 〈 det<br />
dt 〉2PN + 〈 det<br />
dt 〉3PN<br />
<br />
ζ8/3 <br />
1 − e2 5/2<br />
t<br />
ζ10/3 <br />
1 − e2 7/2<br />
t<br />
+e 4 t<br />
13929<br />
280<br />
<br />
304<br />
15 + 121e2 t<br />
15<br />
14207<br />
105<br />
− 1664ν<br />
45<br />
<br />
− 4084ν<br />
45 + e2 t<br />
<br />
,<br />
,<br />
12231<br />
35<br />
− 7753ν<br />
30<br />
,<br />
<br />
BRI-IHP06-I – p.87/??
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