- 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
- 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 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