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

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Validity of Results<br />

As one approaches the plunge boundary motion deviates<br />

<strong>from</strong> slow precess<strong>in</strong>g QK to zoom-whirl. Hence we need to<br />

be be sufficiently away <strong>from</strong> the plunge boundary for validity<br />

of QKR.<br />

QKR assumes orbits are slowly precess<strong>in</strong>g..Hence one needs<br />

to set upper limit on periastron precession<br />

G m n<br />

c 3<br />

If ξ ≡ j ≡ cJ /(µGm), the constra<strong>in</strong>t on parameters ξ and<br />

et becomes<br />

ξ<br />

(1 − e2 =<br />

t ) 3/2<br />

3 1<br />

j<br />

< 3.0 × 10 −3<br />

This restriction is due to our use of GQKR. One may be able to<br />

go beyond the limit by us<strong>in</strong>g <strong>in</strong>stead the exact<br />

Schwarzschild-like motion <strong>in</strong> the EOB metric.<br />

BRI-IHP06-I – p.156/??

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