Reversing type II migration: resonance trapping of a lighter giant protoplanet

By F. Masset, M. Snellgrove. 2000

294 citations recorded by the source corpus.

We present new results related to the coupled evolution of a two giant planet system embedded in a protoplanetary disk, in which a Saturn mass protoplanet is trapped in an outer mean motion resonance with a Jupiter mass protoplanet. The gaps opened in the disk by the two planets overlap, therefore the two planet system exchanges angular momentum with the disk at the inner planet's Inner Lindblad Resonances (ILRs) and at the outer planet Outer Lindblad Resonances (OLRs). Since the torques are proportional to the square of the planet masses, and since the inner planet is about three times more massive than the outer one, the ILR torques are favored by a factor ∽ 10 with respect to the one planet case. In the case presented here, this leads to a positive differential Lindblad torque and consequently an outwards migration. We briefly discuss the long-term behavior of the system, which could account for the high eccentricities of the extra-solar planets with semimajor axis a > 0.2 AU.

Subfields: Astronomy and Astrophysics, Instrumentation

View Paper: https://www.semanticscholar.org/paper/858204a7b1377e60629e89d31542025e4b91a423

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Citations in the corpus

Origin of the structure of the Kuiper belt during a dynamical instability in the orbits of Uranus and Neptune (2007, background): “Saturn is assumed to be closer to Jupiter than their mutual 1:2 MMR, a condition required in order to avoid a substantial amount of migration (Type II) during the gas disk lifetime (Masset and Snellgrove, 2001; Morbidelli and Crida, 2007).”
STATISTICAL STUDY OF THE EARLY SOLAR SYSTEM'S INSTABILITY WITH FOUR, FIVE, AND SIX GIANT PLANETS (2012, background): “As giant planets radially migrate in the protoplanetary nebula they should commonly be drawn into compact systems, in which the pairs of neighbor planets are locked in the orbital resonances (Kley 2000, Masset & Snellgrove 2001).”
Migration and the Formation of Systems of Hot Super-Earths and Neptunes (2006, background): “Formation and maintenance of commensurabilities in a system of migrating planets in this type of simulation was subsequently reported by Masset & Snellgrove (2001) and Snellgrove et al. (2001).”
CAPTURE OF TROJANS BY JUMPING JUPITER (2013, background): “At this time, the giant planets were assumed to have orbits in mutual MMRs (that have been established during the previous stage of convergent planetary migration in the gas disk; Masset & Snellgrove 2001, Pierens & Nelson 2008, Pierens & Raymond 2011).”
YOUNG SOLAR SYSTEM's FIFTH GIANT PLANET? (2011, methodology): “Jupiter and Saturn, for example, were most likely trapped in the 3:2 resonance (Masset & Snellgrove 2001, Morbidelli & Crida 2007, Pierens & Nelson 2008), defined as PSaturn/PJupiter = 1.5, where PJupiter and PSaturn are the orbital periods of Jupiter and Saturn (this ratio is 2.49 today).”
Planet-Disk Interaction and Orbital Evolution (2012, background): “The more rapid migration rates associated with type I or type III migration do not result in capture into 2:1, but in resonances of higher degree such as 3:2 (Masset & Snellgrove, 2001).”
The great dichotomy of the Solar System: Small terrestrial embryos and massive giant planet cores (2015, background): “The key aspect of the Solar System evolution was that Jupiter avoided to migrate inwards of a few AU, probably due to the presence of Saturn (Masset and Snellgrove, 2001; Morbidelli and Crida, 2007; Walsh et al., 2011).”
RESOLVED IMAGES OF LARGE CAVITIES IN PROTOPLANETARY TRANSITION DISKS (2011, background): “…that long-period companions could be produced relatively easily by the core accretion mechnism in the inner disk, and then subsequently moved outward via planet-planet scattering (Scharf & Menou 2009; Veras et al. 2009) or a resonant migration process (Masset & Snellgrove 2001; Crida et al. 2009).”
Water delivery and giant impacts in the 'Grand Tack' scenario (2014, background): “…comparable but smaller mass exterior to the first one significantly changes the gap profile in the disk, and can halt and reverse the planet’s inward migration (Masset and Snellgrove, 2001; Morbidelli and Crida, 2007; Pierens and Nelson, 2008; Pierens and Raymond, 2011; D’Angelo and Marzari, 2012).”
TRANSIT TIMING OBSERVATIONS FROM KEPLER. IV. CONFIRMATION OF FOUR MULTIPLE-PLANET SYSTEMS BY SIMPLE PHYSICAL MODELS (2012, background): “It has even been suggested that the Solar System giant planets began in a multi-resonant configuration (Morbidelli et al. 2007; Thommes et al. 2008), albeit with links more compact than 2:1 resonances (Masset & Snellgrove 2001; Pierens & Nelson 2008).”
Origin of water in the inner Solar System: Planetesimals scattered inward during Jupiter and Saturn's rapid gas accretion (2017, background): “At this point the direction of migration was reversed (Masset and Snellgrove, 2001; Morbidelli and Crida, 2007; Pierens and Nelson, 2008) and the two planets migrated back outward until the disk dispersed (Pierens and Raymond, 2011).”
Building Terrestrial Planets (2012, background): “From this state, the system evolves naturally on a timescale of tens of millions of years into two Earth-mass planets at ∼0.7 AU and 1 AU and a small Mars at 1.5 AU (see Figure 4). typically migrate outward, locked in a 2:3 mean motion resonance (in which the orbital period of Saturn is 3/2 that of ”
EVIDENCE FROM THE ASTEROID BELT FOR A VIOLENT PAST EVOLUTION OF JUPITER's ORBIT (2010, background): “Hydro-dynamical simulations (Masset and Snellgrove, 2001; Morbidelli and Crida, 2007; Pierens and Nelson, 2008) have consistently shown that Saturn migrates faster than Jupiter and, as it approaches the latter, it is eventually c ptured in their mutual 2:3 mean motion resonance.”
On the evolution of multiple protoplanets embedded in a protostellar disc (2006, background): “The formation of resonant systems of giant planets has been examined by Kley (2000), Masset & Snellgrove (2001), Snellgrove et al. (2001), Lee & Peale (2001), Nelson & Papaloizou (2002), Kley et al. (2005), often with application to particular systems such as GJ876 (Marcy et al. 2001).”
Constructing the secular architecture of the solar system II: The terrestrial planets (2009, unknown): “More precisely, Jupiter and Saturn are trapped in their mutual 3:2 resonance (see also Masset & Snellgrove 2001; Morbidelli & Crida 2007; Pierens & Nelson 2008); Uranus is in the 3:2 resonance with Saturn and Neptune is caught in the 4:3 resonance with Uranus.”
Origin and evolution of the atmospheres of early Venus, Earth and Mars (2018, methodology): “To prevent strong perturbations of Jupiter and Saturn during terrestrial planet formation, the “Nice model” (Tsiganis et al. 2005; Morbidelli et al. 2007) has been modified with a so-called “jumping Jupiter” (Levison et al. 2011) that moves the giant planets quite quickly into the final orbit.”
The dynamics of Jupiter and Saturn in the gaseous protoplanetary disk (2007, methodology): “Summary In this paper we have analyzed in detail, by performing many numerical simulations, the mechanism proposed by Masset and Snellgrove (2001) to explain why Jupiter and Saturn did not migrate towards the Sun.”