On the modeling of Intermediate- and Extreme-Mass-Ratio Inspirals
On the modeling of Intermediate- and Extreme-Mass-Ratio Inspirals
On the modeling of Intermediate- and Extreme-Mass-Ratio Inspirals
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A new Method: The Chimera Scheme<br />
The main difficulty is <strong>the</strong> evaluation <strong>of</strong> <strong>the</strong><br />
numerical time derivatives that enter in <strong>the</strong> Self-<br />
Force: up to eight-order derivatives (six-order if we use<br />
analytical expressions for <strong>the</strong> second-order<br />
derivatives <strong>of</strong> <strong>the</strong> multipole moments).<br />
We use <strong>the</strong> information <strong>of</strong> <strong>the</strong> local geodesic<br />
(fundamental frequencies) in combination with a<br />
least-squares fitting:<br />
f[zGeodesic](t) α <br />
= f k,m,n e −i (k Ω r +m Ω θ +n Ω φ ) t<br />
k,m,n<br />
2nd Iberian Gravitational Wave Meeting [February 16th, 2012] 33
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