The motion of three bodies can be solved perturbatively when a tightly bound inner binary is orbited by a distant perturber, giving rise, for example, to the well-known Kozai-Lidov oscillations. We propose to study the relativistic hierarchical three-body orbits by adapting the effective field theory techniques used in the two-body problem. This allows us to conveniently treat the inner binary as an effective point particle, thus reducing the complexity of the three-body problem to a simpler spinning two-body motion. We present in detail the mapping between the inner binary osculating elements and the resulting spin of the effective point particle. Our study builds towards a derivation of three-body analytic waveforms.
Effective two-body approach to the hierarchical three-body problem
Kuntz A.;Serra F.;Trincherini E.
2021
Abstract
The motion of three bodies can be solved perturbatively when a tightly bound inner binary is orbited by a distant perturber, giving rise, for example, to the well-known Kozai-Lidov oscillations. We propose to study the relativistic hierarchical three-body orbits by adapting the effective field theory techniques used in the two-body problem. This allows us to conveniently treat the inner binary as an effective point particle, thus reducing the complexity of the three-body problem to a simpler spinning two-body motion. We present in detail the mapping between the inner binary osculating elements and the resulting spin of the effective point particle. Our study builds towards a derivation of three-body analytic waveforms.File | Dimensione | Formato | |
---|---|---|---|
3bodyEFT.pdf
accesso aperto
Tipologia:
Published version
Licenza:
Creative Commons
Dimensione
416.65 kB
Formato
Adobe PDF
|
416.65 kB | Adobe PDF |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.