Modeling the Diversity of Outer Planetary Systems

In order to better understand the range of dynamically long-lived giant planet systems, we present the results of a set of bottom-up numerical simulations designed to generate plausible giant planet systems from a large number of planetary embryos. Our simulations produced systems that are stable for at least a billion years and that exhibit a wide range of characteristics. Some of these systems are reminiscent of the outer solar system. The number of planets ranged from one to seven. Many systems contained only Uranus-mass objects. We constructed systems that were more compact than the outer solar system and systems that were much sparser, with planets on very eccentric orbits. Perhaps most surprisingly, some of the systems that we constructed were stable for at least a billion years despite undergoing macroscopic orbital changes on much shorter timescales.

[1]  P. Bodenheimer,et al.  Orbital migration of the planetary companion of 51 Pegasi to its present location , 1996, Nature.

[2]  Steven V. W. Beckwith,et al.  Circumstellar disks and the search for neighbouring planetary systems , 1996, Nature.

[3]  J. Lissauer,et al.  Orbital Stability of the Uranian Satellite System , 1997 .

[4]  T. Quinn,et al.  The Long-Term Dynamical Evolution of the Solar System , 1993 .

[5]  J. Lissauer,et al.  Accretion rates of protoplanets , 1990 .

[6]  Francesco Marzari,et al.  Gravitational scattering as a possible origin for giant planets at small stellar distances , 1996, Nature.

[7]  T. Guillot,et al.  New Constraints on the Composition of Jupiter from Galileo Measurements and Interior Models , 1997, astro-ph/9707210.

[8]  R. Paul Butler,et al.  Three New “51 Pegasi-Type” Planets , 1997 .

[9]  Eric B. Ford,et al.  Dynamical Instabilities and the Formation of Extrasolar Planetary Systems , 1996, Science.

[10]  Shigeru Ida,et al.  On the Origin of Massive Eccentric Planets , 1997 .

[11]  Jack J. Lissauer,et al.  Urey Prize Lecture: On the Diversity of Plausible Planetary Systems , 1995 .

[12]  B. Gladman,et al.  On the Fates of Minor Bodies in the Outer Solar System , 1990 .

[13]  Jack J. Lissauer,et al.  Timescales for planetary accretion and the structure of the protoplanetary disk , 1986 .

[14]  Julio A. Fernández,et al.  On the time evolution of the cometary influx in the region of the terrestrial planets , 1983 .

[15]  M. Mayor,et al.  A Jupiter-mass companion to a solar-type star , 1995, Nature.

[16]  Yoshihide Kozai,et al.  Secular perturbations of asteroids with high inclination and eccentricity , 1962 .

[17]  William R. Ward,et al.  Survival of Planetary Systems , 1997 .

[18]  W. D. Cochran,et al.  The Discovery of a Planetary Companion to 16 Cygni B , 1997 .

[19]  J. Wisdom,et al.  Chaotic behavior and the origin of the 3/1 Kirkwood gap , 1983 .

[20]  John E. Chambers,et al.  The Stability of Multi-Planet Systems , 1996 .

[21]  Jack Wisdom,et al.  The resonance overlap criterion and the onset of stochastic behavior in the restricted three-body problem , 1980 .

[22]  S. Tremaine,et al.  Chaotic variations in the eccentricity of the planet orbiting 16 Cygni B , 1997, Nature.

[23]  S. Mikkola,et al.  The Kozai Mechanism and the Stability of Planetary Orbits in Binary Star Systems , 1997 .

[24]  S. Peale Orbital Resonances in the Solar System , 1976 .

[25]  T. Mazeh,et al.  The High Eccentricity of the Planet Orbiting 16 Cygni B , 1996, astro-ph/9611135.

[26]  J. Wisdom,et al.  Symplectic maps for the N-body problem. , 1991 .

[27]  Harold F. Levison,et al.  A Multiple Time Step Symplectic Algorithm for Integrating Close Encounters , 1998 .

[28]  S. H. Dole Computer simulation of the formation of planetary systems , 1970 .

[29]  Brett Gladman,et al.  Dynamics of Systems of Two Close Planets , 1993 .

[30]  J. Laskar Large scale chaos and marginal stability in the solar system , 1996 .

[31]  C. Sagan,et al.  Computer simulations of planetary accretion dynamics: sensitivity to initial conditions. [Implications and limitations of ACRETE] , 1976 .

[32]  Hansen,et al.  Migrating planets , 1998, Science.

[33]  Jack J. Lissauer,et al.  Formation of the Giant Planets by Concurrent Accretion of Solids and Gas , 1995 .