Dynamical friction can flip the hierarchical three-body system
arXiv:2411.14047 · doi:10.1088/1475-7516/2025/08/010
Abstract
In recent years, the long-term effects of non-linear perturbations were found to be important for the evolution of the hierarchical triple system, which, for the central third body of a larger mass, can significantly suppress the occurrences of orbital flip that changes the sign of angular momentum of inner binary. However, as the third-body mass increases significantly, the ambient dark matter spike becomes much more dense, rendering the effect of dynamical friction non-negligible. In this work, we take the dynamical friction into account for the first time in the hierarchical triple system up to the octupole order and find that the suppressed occurrences of orbital flip could be recovered, and as the spike index increases, the number of flips could increase over a period of time; meanwhile, as both the inner and outer semi-major axes increase while keeping their ratio fixed, the number of flips could also increase over the same number of outer orbital periods, making the detection of orbital flip a potential probe of the dark matter via observations of either electromagnetic waves or gravitational waves.
v1, 21 pages, 3 figures, 1 table; v2, 28 pages, 6 figures, 1 table, references added, details added, more cases for varying dark-matter spike index and orbital configurations, conclusions unchanged; v3, to match the published version in JCAP
References in corpus (25)
- A Universal Density Profile from Hierarchical Clustering
- Coevolution (Or Not) of Supermassive Black Holes and Host Galaxies
- MultiDark simulations: the story of dark matter halo concentrations and density profiles
- The Eccentric Kozai-Lidov Effect and Its Applications
- Dark matter annihilation at the galactic center
- Hot Jupiters from Secular Planet--Planet Interactions
- Secular Dynamics in Hierarchical Three-Body Systems
- The Kozai Mechanism and the Evolution of Binary Supermassive Black Holes
- Resonant Post-Newtonian Eccentricity Excitation in Hierarchical Three-body Systems
- Ejection of Supermassive Black Holes from Galaxy Cores
- The stellar-to-halo mass relation over the past 12 Gyr
- Gravitational waves as a probe of dark matter mini-spikes
- Double-Averaging Can Fail to Characterize the Long-Term Evolution of Lidov-Kozai Cycles & Derivation of an Analytical Correction
- Secular dynamics of hierarchical multiple systems composed of nested binaries, with an arbitrary number of bodies and arbitrary hierarchical structure. First applications to multiplanet and multistar systems
- Constraining astrophysical observables of Galaxy and Supermassive Black Hole Binary Mergers using Pulsar Timing Arrays
- An Analytical Portrait of Binary Mergers in Hierarchical Triple Systems
- The Effect of Massive Perturbers on Extreme Mass-Ratio Inspiral Waveforms
- Orbital flips in hierarchical triple systems: relativistic effects and third-body effects to hexadecapole order
- Dark matter minispike: a significant enhancement of eccentricity for intermediate-mass-ratio-inspirals
- Binary pulsars as dark-matter probes
- Higher-order effects in the dynamics of hierarchical triple systems. Quadrupole-squared terms
- The Hamiltonian for von Zeipel-Lidov-Kozai oscillations
- Secular evolution of compact binaries revolving around a spinning massive black hole
- Distinctive GWBs from eccentric inspiraling SMBH binaries with a DM spike
- Complete Hamiltonian Framework of Relativistic Hierarchical Triple Systems: Capabilities and Limitations of Secular Perturbation Theory