Predictions for a planet just inside Fomalhaut's eccentric ring
TLDR
In this paper, the eccentricity and sharpness of the edge of Fomalhaut's disk are due to a planet just interior to the ring edge, which is likely to be located at the boundary of a chaotic zone in the corotation region of the planet.Abstract:
We propose that the eccentricity and sharpness of the edge of Fomalhaut’s disk are due to a planet just interior to the ring edge. The collision timescale consistent with the disk opacity is long enough that spiral density waves cannot be driven near the planet. The ring edge is likely to be located at the boundary of a chaotic zone in the corotation region of the planet. We find that this zone can open a gap in a particle disk as long as the collision timescale exceeds the removal or ejection timescale in the zone. We use the slope measured from the ring edge surface brightness profile to place an upper limit on the planet mass. The removal timescale in the chaotic zone is used to estimate a lower limit. The ring edge has eccentricity caused by secular perturbations from the planet. These arguments imply that the planet has a mass between that of Neptune and that of Saturn, a semi-major axis of approximately 119 AU and longitude of periastron and eccentricity, 0.1, the same as that of the ring edge.read more
Citations
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Evolution of Debris Disks
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Optical Images of an Exosolar Planet 25 Light-Years from Earth
Paul Kalas,James R. Graham,Eugene Chiang,Michael P. Fitzgerald,Mark Clampin,Edwin S. Kite,Karl R. Stapelfeldt,Christian Marois,John Krist +8 more
TL;DR: Optical observations of an exoplanet candidate, Fomalhaut b, show that the planet's mass is at most three times that of Jupiter; a higher mass would lead to gravitational disruption of the belt, matching predictions of its location.
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The Exoplanet Handbook
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Variations on Debris Disks: Icy Planet Formation at 30-150 AU for 1-3 M☉ Main-Sequence Stars
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References
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Collisional simulations of satellite Lindblad resonances
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TL;DR: In this paper, the influence of a perturbing satellite on a planetary ring at isolated Lindblad resonances is studied with numerical computer simulations, combining Aarseth's force polynomial method for orbit integrations with the calculation of particle-particle impacts.
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