Abstract
A number of extrasolar planets have been detected in close orbits around nearby stars. It is probable that these planets did not form in these orbits but migrated from their formation locations beyond the ice line. Orbital migration mechanisms involving angular momentum transfer through tidal interactions between the planets and circumstellar gas-dust disks or by gravitational interaction with a residual planetesimal disk together with several means of halting inward migration have been identified. These offer plausible schemes to explain the orbits of observed extrasolar giant planets and giant planets within the Solar System. Recent advances in numerical integration methods and in the power of computer workstations have allowed these techniques to be applied to modelling directly the mechanisms and consequences of orbital migration in the Solar System. There is now potential for these techniques also to be applied to modelling the consequences of the orbital migration of planets in the observed exoplanetary systems. In particular the detailed investigation of the stability of terrestrial planets in the habitable zone of these systems and the formation of terrestrial planets after the dissipation of the gas disk is now possible. The stability of terrestrial planets in the habitable zone of selected exoplanetary systems has been established and the possibility of the accretion of terrestrial planets in these systems is being investigated by the author in collaboration with Barrie W. Jones (Open University), and with John Chambers (NASA-Ames) and Mark Bailey of Armagh Observatory, using numerical integration. The direct simulation of orbital migration by planetesimal scattering must probably await faster hardware and/or more efficient algorithms.
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References
Boss, A. P.: 1995, ‘Proximity of Jupiter-Like Planets to Low-Mass Stars’, Science 267, 360–362.
Bryden, G., Chen, X., Lin, D., Nelson, R., Papaloizou, J.: 1999, ‘Tidally Induced Gap formation in Protostellar Disks: Gap Clearing and the Suppression of Protoplanetary growth’, AJ 514, 344–367.
Butler, R. P. and Marcy, G. W.: 1996, ‘A Planet Orbiting 47 Ursae Majoris’, ApJ 464, L153.
Butler, R. P., Marcy, G. W., Williams, E., Hauser, H., and Shirts, P.: 1997, ‘Three New “51 Pegasi-Type” Planets’, ApJ 474, L115.
Chambers, J. E.: 1999, ‘A Hybrid Symplectic Integrator that Permits Close Encounters between Massive Bodies’, Mon. Not. Roy. Astron. Soc. 304, 793–799.
Chambers, J. E. and Wetherill, G. W.: 1998, ‘Making the Terrestrial Planets: N-Body Integrations of Planetary Embryos in Three Dimensions’, Icarus 136, 304–327.
Cochran, W. D., Hatzes, A. P., Butler, R. P., and Marcy, G. W.: 1997, ‘The Discovery of a Planetary Companion to 16 Cygni B’, ApJ 483, 457.
Delfosse, X., Forveille, T., Mayor, M., Perrier, C., Naef, D., and Queloz, D.: 1998, ‘The Closest Extrasolar Planet. A Giant Planet around the M4 Dwarf GL 876’, A&A 338, 67–70.
Duncan, M. J., Levison, H. F., and Lee, M. H.: 1998, ‘A Multiple Time Step Symplectic Algorithm for Integrating Close Encounters’, AJ 116, 2067.
Fernández, J. A. and Ip, W.-H.: 1984, ‘Some Dynamical Aspects of the Accretion of Uranus and Neptune: The Exchange of Orbital Angular Momentum with Planetesimals’, Icarus 58, 109–120.
Fernández, J. A. and Ip, W.-H.: 1996, ‘Orbital Expansion and Resonant Trapping during the Late Accretion Stages of the Outer Planets’, Planet. Space Sci. 44, 431–439.
Forget, F. and Pierrehumbert, R. T.: 1997, ‘Warming Early Mars with Carbon Dioxide Clouds that Scatter Infrared Radiation’, Science 278, 1273.
Gehman, C. S., Adams, F. C., and Laughlin, G.: 1996, ‘The Prospects for Earth-Like Planets within Known Extrasolar Planetary Systems’, PASP 108, 1018–1023.
Gladman, B.: 1993, ‘Dynamics of Two Close Planets’, Icarus 106, 247–263.
Goldreich, P. and Tremaine, S.: 1980, ‘Disk-Satellite Interactions’, ApJ 241, 425–441.
Hahn, J. M. and Malhotra, R.: 1999, ‘Orbital Evolution of Planets Embedded in a Massive Planetesimal Disk’, AJ, 117, 3041–3053.
Jones, B. W., Sleep, P. N., and Chambers, J. E.: 2001, ‘The Stability of the Orbits of Terrestrial Planets in the Habitable Zones of Known Exoplanetary Systems’, A&A 366, 254–262.
Kasting, J. F., Whitmire, D. P., and Reynolds, R. T.: 1993, ‘Habitable Zones around Main Sequence Stars’, Icarus 101, 108–128.
Kley, W.: 1999, ‘Mass Flow and Accretion through Gaps in Accretion Disks’, Mon. Not. Roy. Astron. Soc. 303, 696–710.
Kortenkamp, S. J. and Wetherill, G. W.: 1998, ‘Terrestrial Planet and Asteroid Formation in the Presence of Giant Planets’, Meteorit. Planet. Sci. 32, 86.
Latham, D.W., Stefanik, R. P., Mazeh, T., Mayor, M., and Burki, G.: 1989, ‘The Unseen Companion of HD114762 – A Probable Brown Dwarf’, Nature 339, 38.
Levison H. F., Lissauer, J. J., and Duncan, M. J.: 1998, Modeling the Diversity of Outer Planetary Systems, AJ 116, 1998–2014.
Lin, D. N. C. and Papaloizou, J. C. B.: 1986, ‘On the Tidal Interaction between Protoplanets and the Protoplanetary Disk. III. Orbital Migration of Protoplanets’, ApJ 309, 846–857.
Lin, D. N. C., Bodenheimer, P., and Richardson, D. C.: 1996, ‘Orbital Migration of the Planetary Companion of 51 Pegasi to its Present Location’, Nature 380, 606–607.
Lin, D. N. C., Papaloizou, J. C. B., Terquem, C., Bryden, G., and Ida, S.: 2000, ‘Orbital Evolution and Planet-Star Tidal Interaction’, in V. Mannings, A. P. Boss, and S. S. Russell (eds.), Protostars and Planets IV, The University of Arizona Press, Tucson, pp. 1111–1134.
Liou, J. and Malhotra, R.: 1997, ‘Depletion of the Outer Asteroid Belt’, Science 275, 375–377.
Lissauer, J. J.: 1987, ‘Timescales for Planetary Accretion and the Structure of the Protoplanetary Disk’, Icarus 69, 249.
Lubow, S. H., Seibert, M., and Artymowicz, P.: 1999, ‘Disk Accretion onto High-Mass Planets’, AJ 526, 1001–1012.
Malhotra, R.: 1995, ‘The Origin of Pluto's Orbit: Implications for the Solar System beyond Neptune’, AJ 110, 420–429.
Marcy, G. W. and Butler, R. P.: 1996, ‘A Planetary Companion to 70 Virginis’, ApJ 464, L147.
Masset, F. and Snellgrove, M.: 2001, ‘Reversing Type II Migration: Resonance Trapping of a Lighter Giant Protoplanet’, Mon. Not. Roy. Astron. Soc. 320, 55–59.
Mayor, F. and Queloz, D.: 1995, ‘A Jupiter-Mass Companion to a Solar-Type Star’, Nature 378, 355–359.
Murray, N., Hansen, B., Holman, M., and Tremaine, S.: 1998, ‘Migrating Planets’, Science 279, 69–72.
Noyes, R.W., Jha, S., Korzennik, S. G., Krockenberger, M., Nisenson, P., Brown, T. M., Kennelly, E. J., and Horner, S. D.: 1997, ‘A Planet Orbiting the Star Rho Coronae Borealis’, ApJ 438, L111.
Pollack, J. B., Hubickyj, O., Bodenheimer, P. et al.: 1996, Icarus 124, 62.
Rasio, F. A. and Ford, E. B.: 1996, ‘Dynamical Instabilities and the Formation of Extrasolar Planetary Systems’, Science 274, 954–956
Saha, P. and Tremaine, S.: 1992, ‘Symplectic Integrators for Solar System Dynamics’, AJ 104, 1633–1640.
Saha, P. and Tremaine, S.: 1994, ‘Long-term Planetary Integration with Individual Time Steps’, AJ, 108, 1962–1969.
Trilling, D. E., Benz, W., Guillot, T., Lunine, J. I., Hubbard, W. B., and Burrows, A.: 1998, ‘Orbital Evolution and Migration of Giant Planets: Modeling Extrasolar Planets’, ApJ 500, 428–439.
Vogt, S., Marcy, G., Butler, P., and Apps, K.: 1999, ‘Six New Planets from the Keck Precision Velocity Survey’, ApJ 536, 902–914.
Ward, W. R.: 1986, ‘Density Waves in the Solar Nebula: Differential Lindblad Torque’, Icarus 67, 164–180.
Ward, W. R.: 1996, ‘Protoplanet Migration by Nebula Tides’, Icarus 126, 261–281.
Ward, W. R and Hahn, J.: 2000, ‘Disk-Planet Interactions and the Formation of Planetary Systems’, in V. Mannings, A. P. Boss, and S. S. Russell (eds.), Protostars and Planets IV, The University of Arizona Press, Tucson, pp. 1135–1155.
Weidenschilling, S. J.: 1977, ‘Aerodynamics of Solid Bodies in the Solar Nebula’, Mon. Not. Roy. Astron. Soc. 180, 57–70.
Weidenschilling, S. J. and Marzari, F.: 1996, ‘Gravitational Scattering as a Possible Origin for Giant Planets at Small Stellar Distances’, Nature 384, 619–621.
Wetherill, G. W.: 1991, ‘Occurrence of Earth-Like Bodies in Planetary Systems’, Science 253, 535–538.
Wetherill, G. W.: 1992, ‘An Alternative Model for the Formation of the Asteroids’, Icarus 100, 307–325.
Wetherill, G. W.: 1995, ‘The Formation and Habitability of Extra-Solar Planets’, Icarus 119, 219–238.
Wisdom, J. and Holman, M.: 1991, ‘Symplectic Maps for the N-Body Problem’, AJ 102, 1528.
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Sleep, P.N. Orbital Migration Of Giant Planets: Using Numerical Integration To Investigate Consequences For Other Bodies. Earth, Moon, and Planets 87, 103–115 (1999). https://doi.org/10.1023/A:1017996927696
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DOI: https://doi.org/10.1023/A:1017996927696