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Gravitational Waves from Inspiralling Compact Binaries in ... - LUTH

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Validity of Results<br />

Circular orbits above the LSO, <strong>in</strong> the presence of GRR, can<br />

be described as an adiabatic sequence of circular orbits.<br />

Approximation breaks down when the b<strong>in</strong>ary reaches the<br />

LSO, at which po<strong>in</strong>t the orbital motion changes <strong>in</strong>to a k<strong>in</strong>d of<br />

plunge.<br />

For <strong>in</strong>spirall<strong>in</strong>g eccentric orbits, evolv<strong>in</strong>g under GRR, our<br />

treatment can only be valid above an eccentric analog of<br />

the LSO, i.e. stable eccentric orbits (separated by a potential<br />

barrier <strong>from</strong> any plunge motion)<br />

To del<strong>in</strong>eate them one can use the non-perturbative<br />

effective one body (EOB) formalism, because the transition<br />

between bound and plunge orbits has a non-perturbative,<br />

strong-field orig<strong>in</strong>.<br />

BRI-IHP06-I – p.155/??

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