Chaos in Compact Binaries with Frequency Map Analysis

Details Chaos in Compact Binaries with Frequency Map Analysis Chaos in Compact Binaries with Frequency Map Analysis

Dec 2006

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2006chjaa...6..705x&link_type=abstract

Chinese Journal of Astronomy & Astrophysics, Vol. 6, p. 705-715

Astronomy and Astrophysics

Astrophysics

7

Celestial Mechanics, (Stars:) Binaries (Including Multiple): Close

Scientific paper

The dynamics of compact binaries is very complicated because of spin-orbit coupling and spin-spin coupling. With Laskar's frequency map analysis (FMA) and frequency diffusion as an indicator, we found that misalignment of the spins and orbital angular momentum has a great effect on the dynamics, and for systems with different mass ratios β≡ m_2/m_1 chaos occurs at different spin-orbit configurations. For equal-mass binaries (β=1), chaos occurs when the spins nearly cancel each other out. For some other systems (for example β˜1/2), the binaries are irregular, even chaotic, when the spins are perpendicular to the orbital angular momentum. For the case where gravitational radiation is taken into account, we give an analytic estimation for the frequency diffusion based on the decay of the orbit, which is roughly consistent with our simulations. This means the FMA is not suitable as a chaos indicator for weak chaotic cases with dissipative terms.

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