Gravitational Waves from Inspiralling Compact Binaries in ... - LUTH
Gravitational Waves from Inspiralling Compact Binaries in ... - LUTH Gravitational Waves from Inspiralling Compact Binaries in ... - LUTH
¯cl and ˜cl ¯cλ and ˜cλ versus l/(2π) The plots ¯cl, ˜cl, ¯cλ and ˜cλ against orbital cycles, given by l 2 π . These variations are governed by the reactive 2.5PN equations of motion. Periodic nature of the variations in ˜cl and ˜cλ as well as the constancy of ¯cl and ¯cλ are clearly visible. BRI-IHP06-I – p.154/??
Validity of Results Circular orbits above the LSO, in the presence of GRR, can be described as an adiabatic sequence of circular orbits. Approximation breaks down when the binary reaches the LSO, at which point the orbital motion changes into a kind of plunge. For inspiralling eccentric orbits, evolving under GRR, our treatment can only be valid above an eccentric analog of the LSO, i.e. stable eccentric orbits (separated by a potential barrier from any plunge motion) To delineate them one can use the non-perturbative effective one body (EOB) formalism, because the transition between bound and plunge orbits has a non-perturbative, strong-field origin. BRI-IHP06-I – p.155/??
- 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: ¯cl and ˜cl ¯cλ and ˜cλ versu
- Page 159: References 1. P. C. Peters, Phys. R
¯cl and ˜cl ¯cλ and ˜cλ versus l/(2π)<br />
The plots ¯cl, ˜cl, ¯cλ and ˜cλ aga<strong>in</strong>st orbital cycles, given by l<br />
2 π .<br />
These variations are governed by the reactive 2.5PN<br />
equations of motion. Periodic nature of the variations <strong>in</strong> ˜cl<br />
and ˜cλ as well as the constancy of ¯cl and ¯cλ are clearly<br />
visible.<br />
BRI-IHP06-I – p.154/??
Change language