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Dynamics of Systems of Two Close Planets
Open accessAbstract
In connection with the study of newly formed protoplanetary embryos in the early Solar System, we study the dynamics of a pair of interacting planets orbiting a Sun. By examining the topological stability of the three-body problem, one finds that for initially circular planetary orbits the system will be Hill stable (that is, stable against close approaches for all time) if the fractional orbital separation Δ > 2.4(μ1 + μ2)1/3, where μ1 and μ2 are the mass ratios of the two planets to the Sun. The validity of this stability condition is supported by numerical integrations. The chaotic dynamics of these systems is investigated. A region of bound chaos exterior to the Hill-stable zone is demonstrated. The implications for planetary accretion, the current Solar System, and the pulsar planet system PSR 1257 + 12, are discussed.
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Cited by
ARCHITECTURE AND DYNAMICS OF KEPLER 'S CANDIDATE MULTIPLE TRANSITING PLANET SYSTEMS
Lissauer, J. J., Ragozzine, D., Fabrycky, D. C., Steffen, J. H., Ford, E. B., Jenkins, J. M., Shporer, A., Holman, M. J., Rowe, J. F., Quintana, E. V., et al. (2011) · The Astrophysical Journal Supplement Series · doi:10.1088/0067-0049/197/1/8 · Cited by 784
A closely packed system of low-mass, low-density planets transiting Kepler-11
Lissauer, J. J., Fabrycky, D. C., Ford, E. B., Borucki, W. J., Fressin, F., Marcy, G. W., Orosz, J. A., Rowe, J. F., Torres, G., Welsh, W. F., et al. (2011) · Nature · doi:10.1038/nature09760 · Cited by 665
Making the Terrestrial Planets: N-Body Integrations of Planetary Embryos in Three Dimensions
Chambers, J. E., & Wetherill, G. W. (1998) · Icarus · doi:10.1006/icar.1998.6007 · Cited by 583
Gravitational scattering as a possible origin for giant planets at small stellar distances
Weidenschilling, S. J., & Marzari, F. (1996) · Nature · doi:10.1038/384619a0 · Cited by 553
Astrophysics of Planet Formation
Armitage, P. J. (2020) · Cambridge University Press eBooks · doi:10.1017/9781108344227 · Cited by 477
Metadata
- Authors
- Gladman, B.
- Venue
- Icarus
- Publisher
- Elsevier BV
- Published
- 1993-11
- Volume
- 106
- Issue
- 1
- Pages
- 247-263
- ISSN
- 0019-1035 (ISSN-L)
- OpenAlex
- W1973398885
- Cited by
- 641
- References
- 0
- FWCI
- 4.19
- Type
- journal article
- Language
- en
- Open access
- hybrid
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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