Orbital stability of systems of closely-spaced planets

By Andrew W. Smith, Jack J. Lissauer. 2009

146 citations recorded by the source corpus.

Subfields: Astronomy and Astrophysics

View Paper: https://www.semanticscholar.org/paper/86d985533f7a00049a18ef22ae194e600252a07f

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In Astronomy and Astrophysics

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Citations in the corpus

• A NEARBY M STAR WITH THREE TRANSITING SUPER-EARTHS DISCOVERED BY K2 (2015, background): “They adopt ∆in + ∆out > 18 as a heuristic criterion for the stability of three planets, motivated by suites of direct numerical integrations (e.g. Smith & Lissauer (2009)).”
• Simulations of two-planet systems through all phases of stellar evolution: implications for the instability boundary and white dwarf pollution (2013, background): “7 b of Smith & Lissauer (2009) demonstrates that in crowded five-planet systems separated by several Hill radii, tolerances of 10−12, 10−13, 10−14, 10−15 and 10−16 will yield instability time-scales which are all within the same order of magnitude.”
• Spacing of Kepler Planets: Sculpting by Dynamical Instability (2015, background): “We note that homogenous systems, with their uniform period ratios, tend to be strongly affected by the presence of mean-motion resonances (Smith & Lissauer 2009; Funk et al. 2010, see, e.g.).”
• TESTING IN SITU ASSEMBLY WITH THE KEPLER PLANET CANDIDATE SAMPLE (2013, background): “Various authors have evaluated the lower limit on Δ imposed by dynamical stability, with Δ > 9 being the expectation for Earth-mass planets on initially circular orbits (Smith & Lissauer 2009).”
• TERRESTRIAL PLANET OCCURRENCE RATES FOR THE KEPLER GK DWARF SAMPLE (2015, background): “0 occurrence region of a G dwarf is &9 corresponding to ∼ 1010 yr stability (Smith & Lissauer 2009).”
• HOW THERMAL EVOLUTION AND MASS-LOSS SCULPT POPULATIONS OF SUPER-EARTHS AND SUB-NEPTUNES: APPLICATION TO THE KEPLER-11 SYSTEM AND BEYOND (2012, background): “Smith & Lissauer (2009) found that systems with five or more planets tended to destabilize when Δ 9.”
• ARCHITECTURE AND DYNAMICS OF KEPLER'S CANDIDATE MULTIPLE TRANSITING PLANET SYSTEMS (2011, background): “A second exception exists for retrograde orbits (Smith & Lissauer 2009), but these are implausible on cosmogonic grounds (Lissauer & Slartibartfast 2008).”
• MAKE SUPER-EARTHS, NOT JUPITERS: ACCRETING NEBULAR GAS ONTO SOLID CORES AT 0.1 AU AND BEYOND (2014, background): “This orbit-crossing timescale tcross is exponentially sensitive to initial orbital spacings (Chambers et al. 1996; Yoshinaga et al. 1999; Zhou et al. 2007; Smith & Lissauer 2009).”
• CHARACTERIZING THE COOL KOIs. IV. KEPLER-32 AS A PROTOTYPE FOR THE FORMATION OF COMPACT PLANETARY SYSTEMS THROUGHOUT THE GALAXY (2012, background): “It therefore is not expected to have any bearing on the stability of the system (Smith & Lissauer 2009) and is not included in the following analysis.”