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Origin and Evolution of the Cometary Reservoirs

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Comets have three known reservoirs: the roughly spherical Oort Cloud (for long-period comets), the flattened Kuiper Belt (for ecliptic comets), and, surprisingly, the asteroid belt (for main-belt comets). Comets in the Oort Cloud were thought to have formed in the region of the giant planets and then placed in quasi-stable orbits at distances of thousands or tens of thousands of AU through the gravitational effects of the planets and the Galaxy. The planets were long assumed to have formed in place. However, the giant planets may have undergone two episodes of migration. The first would have taken place in the first few million years of the Solar System, during or shortly after the formation of the giant planets, when gas was still present in the protoplanetary disk around the Sun. The Grand Tack (Walsh et al. in Nature 475:206–209, 2011) models how this stage of migration could explain the low mass of Mars and deplete, then repopulate the asteroid belt, with outer-belt asteroids originating between, and outside of, the orbits of the giant planets. The second stage of migration would have occurred later (possibly hundreds of millions of years later) due to interactions with a remnant disk of planetesimals, i.e., a massive ancestor of the Kuiper Belt. Safronov (Evolution of the Protoplanetary Cloud and Formation of the Earth and the Planets, 1969) and Fernández and Ip (Icarus 58:109–120, 1984) proposed that the giant planets would have migrated as they interacted with leftover planetesimals; Jupiter would have moved slightly inward, while Saturn and (especially) Uranus and Neptune would have moved outward from the Sun. Malhotra (Nature 365:819–821, 1993) showed that Pluto’s orbit in the 3:2 resonance with Neptune was a natural outcome if Neptune captured Pluto into resonance while it migrated outward. Building on this work, Tsiganis et al. (Nature 435:459–461, 2005) proposed the Nice model, in which the giant planets formed closer together than they are now, and underwent a dynamical instability that led to a flood of comets and asteroids throughout the Solar System (Gomes et al. in Nature 435:466–469, 2005b). In this scenario, it is somewhat a matter of luck whether an icy planetesimal ends up in the Kuiper Belt or Oort Cloud (Brasser and Morbidelli in Icarus 225:40–49, 2013), as a Trojan asteroid (Morbidelli et al. in Nature 435:462–465, 2005; Nesvorný and Vokrouhlický in Astron. J. 137:5003–5011, 2009; Nesvorný et al. in Astrophys. J. 768:45, 2013), or as a distant “irregular” satellite of a giant planet (Nesvorný et al. in Astron. J. 133:1962–1976, 2007). Comets could even have been captured into the asteroid belt (Levison et al. in Nature 460:364–366, 2009). The remarkable finding of two “inner Oort Cloud” bodies, Sedna and 2012 \(\mbox{VP}_{113}\), with perihelion distances of 76 and 81 AU, respectively (Brown et al. in Astrophys. J. 617:645–649, 2004; Trujillo and Sheppard in Nature 507:471–474, 2014), along with the discovery of other likely inner Oort Cloud bodies (Chen et al. in Astrophys. J. Lett. 775:8, 2013; Brasser and Schwamb in Mon. Not. R. Astron. Soc. 446:3788–3796, 2015), suggests that the Sun formed in a denser environment, i.e., in a star cluster (Brasser et al. in Icarus 184:59–82, 2006, 191:413–433, 2007, 217:1–19, 2012b; Kaib and Quinn in Icarus 197:221–238, 2008). The Sun may have orbited closer or further from the center of the Galaxy than it does now, with implications for the structure of the Oort Cloud (Kaib et al. in Icarus 215:491–507, 2011). We focus on the formation of cometary nuclei; the orbital properties of the cometary reservoirs; physical properties of comets; planetary migration; the formation of the Oort Cloud in various environments; the formation and evolution of the Kuiper Belt and Scattered Disk; and the populations and size distributions of the cometary reservoirs. We close with a brief discussion of cometary analogs around other stars and a summary.
Evolution of semi-major axis, perihelion distance, and aphelion distance for two systems of five planets (Jupiter, Saturn, and three ice giants) with a massive planetesimal disk outside their orbits, from Batygin et al. (2012). In both panels, Jupiter and Saturn begin in a 3:2 resonance. In the left panel, Saturn and the inner ice giant are in a 2:1 MMR, while both pairs of ice giants are in 5:4 MMRs. In the right panel, Saturn and the inner ice giant are in a 3:2 MMR, the inner pair of ice giants is in a 2:1 MMR, and the outer pair of ice giants is in a 4:3 MMR. In each panel, the innermost ice giant is ejected, leaving behind four planets with orbits similar to those of the outer planets in our Solar System. For the two cases shown here, the planetary system goes unstable in ≲10Myr\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}${\lesssim}10~\mbox{Myr}$\end{document}. Morbidelli and Crida (2007), Nesvorný (2011), and Nesvorný and Morbidelli (2012) have investigated systems of five and six giant planets that are stable in isolation (without an external disk) for hundreds of Myr to >1Gyr\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}${>}1~\mbox{Gyr}$\end{document}. Whether the instability can be delayed for many hundreds of Myr, as in the original Nice model, for five- or six-planet systems with an external disk is not yet clear
… 
Scatter plot of osculating barycentric pericenter distance q\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$q$\end{document} vs. osculating barycentric semi-major axis a\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$a$\end{document} at six times in a simulation of Oort Cloud formation, from Dones et al. (2004). The Sun is assumed to be a single star in its current galactic environment throughout the simulation. The points are color-coded to reflect the region in which the simulated comets formed. Jupiter region comets (initial semi-major axes between 4 and 8 AU) are magenta triangles; Saturn region comets (8–15 AU) are blue triangles; Uranus region comets (15–24 AU) are green circles; Neptune region comets (24–35 AU) are red circles; Kuiper Belt comets (35–40 AU) are black circles. (a) Initial conditions for the simulation. (b) 1 Myr into the simulation. (c) 10 Myr into the simulation. (d) 100 Myr. (e) 1000 Myr. (f) Final results for the simulation, at 4000 Myr, i.e., at roughly the present time. The population of the Oort Cloud peaks about 800 Myr into the simulation. Note that in (f), there is a nearly empty gap for semi-major axes between ≈200\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}${\approx}200$\end{document} and 1000 AU. This region is not expected to be populated if the Sun was always a single star, but can be if the Sun were once a member of a cluster (see Sect. 5.2)
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Space Sci Rev (2015) 197:191–269
DOI 10.1007/s11214-015-0223-2
Origin and Evolution of the Cometary Reservoirs
Luke Dones1·Ramon Brasser2·Nathan Kaib3·
Hans Rickman4,5
Received: 13 February 2015 / Accepted: 5 October 2015 / Published online: 24 November 2015
© Springer Science+Business Media Dordrecht 2015
Abstract Comets have three known reservoirs: the roughly spherical Oort Cloud (for long-
period comets), the flattened Kuiper Belt (for ecliptic comets), and, surprisingly, the asteroid
belt (for main-belt comets). Comets in the Oort Cloud were thought to have formed in the
region of the giant planets and then placed in quasi-stable orbits at distances of thousands or
tens of thousands of AU through the gravitational effects of the planets and the Galaxy. The
planets were long assumed to have formed in place. However, the giant planets may have un-
dergone two episodes of migration. The first would have taken place in the first few million
years of the Solar System, during or shortly after the formation of the giant planets, when gas
was still present in the protoplanetary disk around the Sun. The Grand Tack (Walsh et al.
in Nature 475:206–209, 2011) models how this stage of migration could explain the low
mass of Mars and deplete, then repopulate the asteroid belt, with outer-belt asteroids origi-
nating between, and outside of, the orbits of the giant planets. The second stage of migration
would have occurred later (possibly hundreds of millions of years later) due to interactions
with a remnant disk of planetesimals, i.e., a massive ancestor of the Kuiper Belt. Safronov
(Evolution of the Protoplanetary Cloud and Formation of the Earth and the Planets, 1969)
and Fernández and Ip (Icarus 58:109–120, 1984) proposed that the giant planets would have
migrated as they interacted with leftover planetesimals; Jupiter would have moved slightly
inward, while Saturn and (especially) Uranus and Neptune would have moved outward from
the Sun. Malhotra (Nature 365:819–821, 1993) showed that Pluto’s orbit in the 3:2 reso-
nance with Neptune was a natural outcome if Neptune captured Pluto into resonance while
We thank the NASA Cassini Data Analysis Program for support of some of the work described here.
BL. Dones
luke@boulder.swri.edu
1Southwest Research Institute, 1050 Walnut St., Suite 300, Boulder, CO 80302-5142, USA
2Earth-Life Science Institute, Tokyo Institute of Technology, 2-12-1-IE-1 Ookayama, Meguro-ku,
Tokyo, 152-8550, Japan
3H.L. Dodge Department of Physics and Astronomy, University of Oklahoma, 440 W. Brooks St.,
Norman, OK 73019, USA
4Department of Physics and Astronomy, Uppsala University, 75120 Uppsala, Sweden
5PAS Space Research Center, Bartyckya 18A, 00716 Warszawa, Poland
Content courtesy of Springer Nature, terms of use apply. Rights reserved.
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