Gravitational Waves from Inspiralling Compact Binaries in ... - LUTH
Gravitational Waves from Inspiralling Compact Binaries in ... - LUTH Gravitational Waves from Inspiralling Compact Binaries in ... - LUTH
3.5PN accurate reactive dynamics dc λ dl = − 8ξ5/3 η sin u 15e t 3 − χ4 14 − 9e 2 t χ 5 35(1 − e + 2 t ) χ6 1 12e − e2 − t 2 t − χ3 3 − 43e 2 t χ 4 14 − 23e + 2 t + 9e4 t χ5 − 35(1 − e 2 t )2 χ6 + 2ξ7/3η sin u 315et (1 − e2 t ) 1404 − 3318η + (360 + 3066η)e 2 1 t χ4 2 + − 4527 + 14770η − (4029 + 15232η)e t + (576 + 882η)e 4 1 t χ5 2 + 19950 − 38290η − (38640 − 58520η)e t + (18690 − 20230η)e 4 1 t χ6 + − 22386 + 38850η + (27447 − 75810η)e 2 t + (12264 + 35070η)e 4 t − (17325 − 1890η)e6 1 t χ7 (23751 + 8820η)(1 − e − 2 t )3 χ8 17640(1 − e + 2 t )4 χ9 1 − e2 + (2448 + 4704η)e 2 t t + (2088 − 4704η)e 2 + − 1404 + 3318η − (4332 + 39116η)e t − (11904 − 35798η)e 4 1 t + χ4 BRI-IHP06-I – p.132/??
3.5PN accurate reactive dynamics 4527 − 14770η − (14190 − 78890η)e 2 t + (11859 − 67270η)e 4 t − (2196 − 3150η)e6 t + χ5 + − 19950 + 38290η + (62790 − 118230η)e 2 t − (65730 − 121590η)e 4 t + (22890 − 41650η)e6 1 t χ6 22386 − 38850η − (52353 − 114660η)e 2 + (22743 − 110880η)e t 4 t + (22029 + 33180η)e6 − (14805 − 1890 t + (23751 + 8820η)(1 − e + 2 t )4 χ8 + 48ξ7/3 η(v − u) 5(1 − e 2 t ) 1 − 5 − χ3 χ4 17640(1 − e 2 t )5 , χ 9 These are inputs to explore the secular and periodic variations of cα to the 3.5PN order χ 7 1 BRI-IHP06-I – p.133/??
- 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
- Page 131 and 132: 3.5PN accurate reactive dynamics Fi
- Page 133: 3.5PN accurate reactive dynamics dc
- Page 137 and 138: Secular variations d¯n dt dēt dt
- Page 139 and 140: Periodic variations To complete thi
- Page 141 and 142: Periodic variations One can analyti
- Page 143 and 144: Periodic variations ˜cl = − 2ξ5
- Page 145 and 146: Periodic variations Above results m
- Page 147 and 148: Periodic variations ˜ l(l; ¯ca) =
- Page 149 and 150: ¯n/ni and ñ/n versus l/(2π) n /
- Page 151 and 152: h+(t) and h×(t) Scaled h + (t) Sca
- Page 153 and 154: ¯n/ni and ñ/n ēt and ˜et versus
- Page 155 and 156: ¯cl and ˜cl ¯cλ and ˜cλ versu
- Page 157 and 158: Validity of Results Circular orbits
- Page 159: References 1. P. C. Peters, Phys. R
3.5PN accurate reactive dynamics<br />
4527 − 14770η − (14190 − 78890η)e 2 t + (11859 − 67270η)e 4 t − (2196 − 3150η)e6 t<br />
+<br />
χ5 <br />
+ − 19950 + 38290η + (62790 − 118230η)e<br />
2<br />
t<br />
− (65730 − 121590η)e 4 t + (22890 − 41650η)e6 <br />
1<br />
t<br />
χ6 <br />
22386 − 38850η − (52353 − 114660η)e<br />
2<br />
+ (22743 − 110880η)e<br />
t 4 t + (22029 + 33180η)e6 − (14805 − 1890<br />
t<br />
+<br />
(23751 + 8820η)(1 − e<br />
+<br />
2 t )4<br />
χ8 + 48ξ7/3 η(v − u)<br />
5(1 − e 2 t )<br />
1<br />
−<br />
5<br />
−<br />
χ3 χ4 17640(1 − e 2 t )5<br />
<br />
,<br />
χ 9<br />
These are <strong>in</strong>puts to explore the secular and periodic variations of cα to the 3.5PN<br />
order<br />
<br />
χ 7<br />
1<br />
BRI-IHP06-I – p.133/??
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