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 />
Implementation: Method <strong>of</strong> Osculating Orbits:<br />
z α (τ) =(t(τ),r(τ),θ(τ),ϕ(τ)) −→ z α Geodesic (τ,Pα (τ), I α (τ))<br />
Positional Orbital Elements: (x o ,y o ,z o )<br />
Principal Orbital Elements: (E,L z ,Q)/(e, p, ι)<br />
Evolution <strong>of</strong> <strong>the</strong> Principal Orbital Elements (E,Lz,C):<br />
Ė = −ξ (t)<br />
µ a µ RR<br />
,<br />
˙L z = ξ (ϕ)<br />
µ a µ RR<br />
,<br />
˙Q = 2 ξ ρµ u ρ a µ RR<br />
.<br />
2nd Iberian Gravitational Wave Meeting [February 16th, 2012] 32
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