Predictions for a planet just inside Fomalhaut's eccentric ring
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43 citations
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...…± 40 Myr, Mamajek 2012) is well known for its prominent,∼140 AU-wide, debris belt that was first resolved in scattered light with HST/ACS revealing a sharp inner edge and side-to-side brightness asymmetry suggestive of gravitational sculpting by a massive planet (Kalas et al. 2005; Quillen 2006)....
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42 citations
Cites background or methods from "Predictions for a planet just insid..."
...I conclude that if there exists an unseen Fomalhaut c orbiting interior to the debris disk and forcing its observed eccentricity as described by Quillen (2006) and Chiang et al. (2009), then either (a) Fomalhaut b is massive enough (& Neptune-mass) to dominate the disk’s self-gravity and must have…...
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...ders the previous low-eccentricity Laplace-Lagrange secular analyses (Quillen 2006; Chiang et al. 2009) inapplicable to Fomalhaut b....
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...This renders the previous low-eccentricity Laplace-Lagrange secular analyses (Quillen 2006; Chiang et al. 2009) inapplicable to Fomalhaut b....
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...…satellites, and that there exists an undetected Fomalhaut c orbiting interior to the disk in the range a ≈ 100− 120 AU and e ≈ 0.11− 0.14—the orbit Fomalhaut b was previously thought to move on, which can naturally explain the debris disk’s observed eccentricity (Quillen 2006; Chiang et al. 2009)....
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...This was the approach taken by Quillen (2006)....
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42 citations
42 citations
Cites background from "Predictions for a planet just insid..."
...For debris disks with two belts, the width of a gap between the belts can provide important constraints on the mass of a planet orbiting within the disk (Quillen 2006; Chiang et al. 2009)....
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...The width of the gap is related to the mass of the companion by a power law (e.g., Quillen 2006; Chiang et al. 2009; Rodigas et al. 2014), the parameters of which depend on the age of the system and the optical depth of the disk (Nesvold & Kuchner 2014)....
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41 citations
References
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"Predictions for a planet just insid..." refers background in this paper
...2 T H E P E R I C E N T R E G L OW M O D E L A N D A N E C C E N T R I C E D G E I N F O M A L H AU T ’ S D I S C We follow the theory for secular perturbations induced by a planet (e.g. Murray & Dermott 1999; Wyatt et al. 1999)....
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...Secular perturbations in the plane can be described in terms of the complex eccentricity variable, z = e exp(i ), where e is the object’s eccentricity and is its longitude of periastron (e.g. Murray & Dermott 1999; Wyatt et al. 1999)....
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...The functions, b js (α), are Laplace coefficients (see Murray & Dermott 1999 for definitions and numerical expressions)....
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...The time variation of z is ż = zforced + zproper(t) (1) where zforced = b23/2(α) b13/2(α) ep exp(i p) (2) (Murray & Dermott 1999; Wyatt et al. 1999)....
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1,601 citations
"Predictions for a planet just insid..." refers background or methods in this paper
...(4) We have recovered the scaling with planet mass predicted by previous works (Goldreich & Tremaine 1980; Franklin et al. 1980; Lissauer & Espresate 1998) but have also included a dependence on distance from the planet....
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...Franklin et al. (1980), Goldreich & Tremaine (1980) and Lissauer & Espresate (1998) showed that spiral density waves were efficiently driven at a Lindblad resonance by a satellite when the collision time-scale was above a critical one, t crit, where t crit ∝ μ−2/3, and μ ≡ m p/M ∗ is the ratio of…...
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488 citations
"Predictions for a planet just insid..." refers background in this paper
...The width of this zone has been measured numerically and predicted theoretically for a planet in a circular orbit by predicting the semi-major axis at which the first-order mean motion resonances overlap (Wisdom 1980; Duncan, Quinn & Tremaine 1989; Murray & Holman 1997; Mudryk & Wu 2006)....
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459 citations
"Predictions for a planet just insid..." refers background in this paper
...1 I N T RO D U C T I O N The nearby star Fomalhaut hosts a ring of circumstellar material (Aumann 1985; Gillett 1985) residing between 120 and 160 au from the star (Holland et al. 1998; Dent et al. 2000; Holland et al. 2003)....
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