Gravitational Waves from Inspiralling Compact Binaries in ... - LUTH
Gravitational Waves from Inspiralling Compact Binaries in ... - LUTH Gravitational Waves from Inspiralling Compact Binaries in ... - LUTH
Periodic variations ˜et = − ξ5/3η sin u 45(1 − e2 t )2 134 + 1069e2 t + 72e4 t χ + 98 − 124e2 t − 46e4 t + 72e6 t χ 3 − ξ5/3 ηet 15(1 − e 2 t )5/2 − ξ7/3 η sin u 37800(1 − e 2 t )3 − ξ 7/3 ηet 2520(1 − e 2 t )7/2 + 210(1 − e2 t )3 χ 4 304 + 121e 2 t 2 tan −1 78768 + 1960η · · · · · · + 134 + 157e2 t − 291e4 t χ2 βt sin u 1 − βt cos u + et sin u 340968 − 228704η · · · · · · 2 tan −1 βt sin u + et sin u 1 − βt cos u BRI-IHP06-I – p.140/??
Periodic variations ˜cl = − 2ξ5/3 η 45e 2 t − 144e2 t χ + 18 − 258e2 t χ2 1 2(1 − e2 t )3/2 2 134 + 103et − 252e 4 t + ξ7/3η 4725e2 (62640 − 141120η)e2 t t χ + −56 + 92e2 t − 36e4 t χ 3 · · · · · · , + 105(1 − e2 t )2 χ 4 BRI-IHP06-I – p.141/??
- 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
- Page 139 and 140: Periodic variations To complete thi
- Page 141: Periodic variations One can analyti
- 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
Periodic variations<br />
˜et = − ξ5/3η s<strong>in</strong> u<br />
45(1 − e2 t )2<br />
<br />
134 + 1069e2 t + 72e4 t<br />
χ<br />
+ 98 − 124e2 t − 46e4 t + 72e6 t<br />
χ 3<br />
−<br />
ξ5/3 ηet<br />
15(1 − e 2 t )5/2<br />
− ξ7/3 η s<strong>in</strong> u<br />
37800(1 − e 2 t )3<br />
−<br />
ξ 7/3 ηet<br />
2520(1 − e 2 t )7/2<br />
+ 210(1 − e2 t )3<br />
χ 4<br />
<br />
304 + 121e 2 <br />
t<br />
<br />
2 tan −1<br />
78768 + 1960η · · · · · ·<br />
+ 134 + 157e2 t − 291e4 t<br />
χ2 <br />
βt s<strong>in</strong> u<br />
<br />
1 − βt cos u<br />
<br />
+ et s<strong>in</strong> u<br />
<br />
<br />
340968 − 228704η · · · · · ·<br />
<br />
2 tan −1<br />
<br />
βt s<strong>in</strong> u<br />
+ et s<strong>in</strong> u<br />
1 − βt cos u<br />
<br />
BRI-IHP06-I – p.140/??
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