The Fate of a Hot Jupiter: How a Primordial Black Hole Rewrites Planetary Systems ✛ ✦

Original: "Three body Simulations of a Primordial Black Hole Encounter with the TOI 2796 System"
arXiv:2607.03724 · 2026-07-04 · CC0 1.0 · 3 min
Numerical simulations show that a flyby of a primordial black hole can eject a planet, capture it, or form a triple system.

Context

Why this matters: Primordial black holes (black holes), born in the first instants after the Big Bang, remain one of the most intriguing candidates for dark matter. If they truly roam the cosmos, their gravitational influence on exoplanetary systems might be the only observable signature. The TOI-2796 system with a hot Jupiter on a tight orbit is an ideal testbed for such scenarios. It was Stephen Hawking who showed that lightweight PBHs evaporate, but more massive ones survive to this day, and Vera Rubin revealed the problem of hidden mass.

Methods

How they did it: The dynamics of three bodies — the star, planet, and PBH — were computed by directly integrating Newton's law of universal gravitation. An adaptive LSODA solver from the SciPy library was used, automatically switching between Adams and BDF methods. The three-body problem, known for its chaos since Henri Poincaré, demanded tight error control (rtol=1e-8, atol=1e-8). To find the rare planet-capture by a black hole, a neural network was trained on 475 numerical simulation runs, varying the impact parameter and PBH mass.

Results

What they found: Over 100 days of integration, three qualitatively distinct outcomes emerged. (1) Planet ejection: with a PBH mass of 15 M☉, the exoplanet becomes a free-floating planet and moves beyond 2 AU from the star within 16 days. (2) Triple system formation: a 500 M☉ PBH forms a stable hierarchical configuration with a semi-major axis of about 1 AU and an orbital period of ~5 days; the system remained bound throughout the interval. (3) Planet capture by PBH: at 300 M☉, the neural network found a scenario where the planet transfers to an orbit around the black hole at a distance of 0.0194 AU and period of 15 days, and the resulting pair flies off to 51.5 AU from the star in 100 days. These numbers show just how radically a system's fate can change after a single close encounter.

Implications

What this means for science: The results show that PBHs can act as disruptors or architects of planetary systems. If dark matter is at least partially made of PBHs, then observed orbital anomalies of exoplanets could become their long-sought signature. Moreover, the ejection or capture mechanism naturally explains the existence of free-floating planets and unusual tight binaries.

Future development

Where this could go: Future work will add relativistic corrections and tidal effects to the Newtonian model, and account for the system passing through star clusters. Machine learning methods will enable targeted searches for characteristic “gravitational fingerprints” in gravitational microlensing data from surveys like Rubin and Roman.

Impact

The findings will affect the interpretation of observational data on exoplanetary systems and strategies for indirect detection of dark matter.

Next steps

Next steps include modeling a sample of real systems with different architectures and analyzing the cumulative effect of multiple PBH flybys over cosmological time.

Key open problems

This work is directly tied to the problem of dark matter's nature: if PBHs exist, they could compose part of it. The chaotic dynamics of the three-body problem remain a fundamental challenge in celestial mechanics, and interpreting potential observational signatures requires developing new analysis methods.

The knowledge machine's view

This section is addressed to the author of the paper and their colleagues. Neighbouring works were found by meaning-based search across our archive, not by word overlap. We do not review: we show the field around the work.

What the work does

This study numerically models the close approach of a primordial black hole (PBH) to the TOI 2796 system, which hosts a hot Jupiter. Over a 100-day interval, three outcomes are obtained: the planet is ejected from the system, a bound triple system forms (semimajor axis ≈ 1 AU, orbital period ≈ 5 days), and the planet is captured by the PBH, forming a pair that recedes from the star. The methods include direct integration of the three-body problem with the adaptive LSODA solver and a neural network to search for rare capture scenarios.

Where its strength is

The strength of the work lies in its concrete quantitative results for the realistic TOI 2796 system and in the application of a neural network to detect the rare outcome of planet capture by a black hole, which expands the toolkit for such studies.

Where it could go next

Worth trying

  • Test the method from the cosmic billiards paper for statistical analysis of multiple flybys.
  • Check whether the shape of the black hole shadow changes in the planet capture scenario, as in the black hole shadow paper.
  • Use the slow-expansion model to generate initial conditions for PBHs.

Why this may matter

If dark matter consists at least in part of PBHs, then observed orbital anomalies in exoplanets could become their long-awaited signature. Furthermore, the ejection or capture mechanism naturally explains the appearance of free-floating planets and unusual tight pairs.

Original abstract

as written by the authors arXiv:2607.03724

We present numerical three body simulations of a primordial black hole (PBH) encounter with the TOI 2796 system, which hosts a hot Jupiter. Over 100 days, we identify three outcomes: (i) ejection of the planet; (ii) a bound triple system (a approx. 1 au, P approx. 5 days); and (iii) capture of the planet by the PBH into a binary (0.0194 au, 15 days) that escapes the star. These results highlight the rich dynamical diversity of PBH encounters and their potential role in shaping planetary systems.

If a primordial black hole with the mass of the Moon passed through our Solar System, it could subtly alter the orbits of giant planets over millions of years — and we'd never know without ultra-precise astrometry.

The chaotic three-body problem, central to Liu Cixin's novel “The Three-Body Problem,” gets a direct astrophysical embodiment: a black hole flyby can unpredictably reshape the destiny of an entire planetary system.

\ddot{\mathbf{r}}_i = \sum_{j \neq i} \frac{G m_j (\mathbf{r}_j - \mathbf{r}_i)}{|\mathbf{r}_j - \mathbf{r}_i|^3}
The acceleration of body i is determined by the sum of gravitational forces from the other two bodies.

Key numbers

  • PBH mass (capture): 300 M☉
  • Orbital distance of captured pair: 0.0194 AU
  • Orbital period of captured pair: 15 days
  • Semi-major axis of triple system: ~1 AU
  • Number of simulations for neural network training: 475
Scientists
John Archibald WheelerJacob BekensteinFritz ZwickyKarl SchwarzschildStephen HawkingSubrahmanyan Chandrasekhar
Concepts
primordial black hole early universe black holes hot jupiter primordial nucleosynthesis black hole formation