Stability and chaos of hierarchical three black hole configurations

Pablo Galaviz*

*Corresponding author for this work

    Research output: Contribution to journalArticlepeer-review

    18 Citations (Scopus)


    We study the stability and chaos of three compact objects using post-Newtonian (PN) equations of motion derived from the Arnowitt-Deser-Misner- Hamiltonian formulation. We include terms up to 2.5 PN order in the orbital part and the leading order in spin corrections. We performed numerical simulations of a hierarchical configuration of three compact bodies in which a binary system is perturbed by a third, lighter body initially positioned far away from the binary. The relative importance of the different PN orders is examined. The basin boundary method and the computation of Lyapunov exponent were employed to analyze the stability and chaotic properties of the system. The 1 PN terms produced a small but noticeable change in the stability regions of the parameters considered. The inclusion of spin or gravitational radiation does not produce a significant change with respect to the inclusion of the 1 PN terms.

    Original languageEnglish
    Article number104038
    Pages (from-to)1-16
    Number of pages16
    JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
    Issue number10
    Publication statusPublished - 22 Nov 2011


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