image: The final orbits of the Trojan planet in a rotating reference frame where the primary star and the secondary planet are both fixed, at the left and right X, respectively. The plus sign marks the equilateral Lagrange point L4. Beginning after 600,100 orbits of the secondary around the primary, the Trojan is already in a banana-shaped orbit. At about 602,996 orbits, the Trojan escapes that oscillation and assumes an eccentric orbit closer to the primary star. Only about three orbits later, it has a close encounter with the secondary planet, and the simulation stops. view more
Credit: SETI Institute
So far, we haven't discovered any exoplanets with co-orbital objects. A new study suggests tides could be causing oscillations that remove co-orbitals before we can find them.
May 26, 2022, Mountain View, CA – In our solar system, there are several thousand examples of co-orbital objects: bodies that share the same orbit around the Sun or a planet. The Trojan asteroids are such an example. We have not yet observed any similar co-orbitals in extrasolar systems, despite discovering more than 5,000 exoplanets. In a new study published in Icarus by Anthony Dobrovolskis, SETI Institute and Jack Lissauer, NASA Ames Research Center, the authors theorize that some Trojan exoplanets form, but the ones that are large and on short-period orbits (and thus relatively easy to detect) are typically forced out of shared orbit by tides. They collide with either their star or their giant planet when that happens.
``If or when Trojan exoplanets are discovered, this work may help to reveal some properties of their internal structures,” said Dobrovolskis, research scientist at the SETI Institute.
Here on Earth, friction caused by tides causes Earth’s rotation to slow down, resulting in our Moon moving away from Earth. Generalizing the theory of tidal friction to systems with more than two bodies, the authors apply the theory to systems that include a star, a giant planet, and an Earth-like planet oscillating around a giant planet's L4 or L5 or the giant planet's equilateral point.
Based on their analysis, the tides raised by the star and the giant planet on the Earth-like planet caused its oscillations to grow until they became unstable. They did numerical simulations that show the Trojan's oscillations change from oval-shaped to banana-shaped and ultimately break out of the shared orbit, colliding with either the star or the giant planet.
The findings are consistent with previously published results from 2013 by Rodriguez et al., and in 2021 by Couturier et al. This suggests that tides are removing co-orbital exoplanets before we can observe them. If that's the case, we may yet discover co-orbital exoplanets. It's also possible that NASA's Lucy mission to the Trojan asteroids, which launched last October, may provide additional clues about the role of tides in co-orbital systems.
The paper is currently in press; the abstract is available here.
Support for this work was provided by NASA’s PSD ISFM program.
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Contact information
Rebecca McDonald
Director of Communications
SETI Institute
mcdonald@seti.org
Article Title
Do tides destabilize Trojan exoplanets?
Article Publication Date
21-May-2022