Planets orbiting two stars have been found, but not all that many of them. We’re talking here about a planet that orbits both stars of a close binary system, and thus far, although we’ve confirmed over 6,000 exoplanets, we’ve only found 14 of them in this configuration. Circumbinary planets are odd enough to make us question what it is we don’t know about their formation and evolution that accounts for this. Now a paper from researchers at UC-Berkeley and the American University of Beirut probes a mechanism Einstein would love.

At play here are relativistic effects, having to do with the fact that, as Einstein explained, intense gravitational fields have detectable effects upon the stars’ orbits. This is hardly news, as it was the precession of Mercury in the sky that General Relativity first predicted. The planet’s orbit could be seen to precess (shift) by 43 arcseconds per century more than was expected by Newtonian mechanics. Einstein showed in 1915 that spacetime curvature could account for this, and calculated the exact 43 arcsecond shift astronomers observed.

What we see in close binary systems is that if we diagram the elliptical orbit usually found in such systems, the line connecting the closest approach (periastron) and farthest point in the orbit (apoapsis) gradually rotates. The term for this is apsidal precession. This precession – rotation of the orbital axis – is coupled with tidal interactions between the two stars, which make their own contribution to the effect. Close binary orbits, then, should be seen as shifting over time, partly as a consequence of General Relativity.

The researchers calculate that as the precession rate of the stars increases, that of a planet orbiting both stars slows. The planet’s perturbation can be accounted for by Newtonian mechanics, and its lessening precession is the result of tidal effects gradually shrinking the orbit of the two binary stars. But note this: When the two precession rates match, or come into resonance, the planet experiences serious consequences. Mohammad Farhat, (UC Berkeley) and first author of the paper, phrases the matter this way:

“Two things can happen: Either the planet gets very, very close to the binary, suffering tidal disruption or being engulfed by one of the stars, or its orbit gets significantly perturbed by the binary to be eventually ejected from the system. In both cases, you get rid of the planet.”

Image: An artist’s depiction of a planet orbiting a binary star. Here, the stars have radically different masses and as they orbit one another, they tug the planet in a way that makes the planet’s orbit slowly rotate or precess. Based on dynamic modeling, general relativistic effects make the orbit of the binary also precess. Over time, the precession rates change and, if they sync, the planet’s orbit becomes wildly eccentric. This causes the planet to either get expelled from the system or engulfed by one of the stars. Credit: NASA GSFC.

Does this mean that circumbinary planets are rare, or does it imply that most of them are probably in outer orbits and hard to find by our current methods? Ejection from the system seems the most likely outcome, but who knows? The researchers make three points about this. Quoting the paper:

(i) Systems that result in tight binaries (period ≤ 7.45 days, that of Kepler-47) via orbital decay are more likely than not deprived of a companion planet: the resonance-driven growth of the planet’s eccentricity typically drives it into the throes of its host’s driven instabilities, leading to ejection or engulfment by that host.

(ii) Planetary survivors of the sweeping resonance mostly reside far from their host and are therefore less likely to have their transits detected. Should eccentric survivors nevertheless be detected, they are expected to bear the signature of resonant capture into apse alignment with the binary.

(iii) The process appears robust to the modeling of the initial binary separation, with three out of four planets around tight binaries experiencing disruption…

What we wind up with here is that circumbinary planets are hard to find, but the greatest scarcity is going to be circumbinaries around binary systems whose orbital period is seven days or less. The researchers note that 12 of the 14 known circumbinary planets are close to but not within what they describe as the ‘instability zone,’ where these effects would be the strongest. Indeed, the combination of general relativistic effects and tidal interactions is calculated here to disrupt planets around tight binaries about 80 percent of the time. Most of the planets thus disrupted would most likely be destroyed in the process.

The paper is Farhat & Touma, “Capture into Apsidal Resonance and the Decimation of Planets around Inspiraling Binaries,” Astrophysical Journal Letters Vol. 995, No. 1 (8 December 2025), L23. Full text.