iBet uBet web content aggregator. Adding the entire web to your favor.
iBet uBet web content aggregator. Adding the entire web to your favor.



Link to original content: https://oadoi.org/10.1038/nature03539
Origin of the orbital architecture of the giant planets of the Solar System | Nature
Skip to main content

Thank you for visiting nature.com. You are using a browser version with limited support for CSS. To obtain the best experience, we recommend you use a more up to date browser (or turn off compatibility mode in Internet Explorer). In the meantime, to ensure continued support, we are displaying the site without styles and JavaScript.

  • Letter
  • Published:

Origin of the orbital architecture of the giant planets of the Solar System

Abstract

Planetary formation theories1,2 suggest that the giant planets formed on circular and coplanar orbits. The eccentricities of Jupiter, Saturn and Uranus, however, reach values of 6 per cent, 9 per cent and 8 per cent, respectively. In addition, the inclinations of the orbital planes of Saturn, Uranus and Neptune take maximum values of 2 degrees with respect to the mean orbital plane of Jupiter. Existing models for the excitation of the eccentricity of extrasolar giant planets3,4,5 have not been successfully applied to the Solar System. Here we show that a planetary system with initial quasi-circular, coplanar orbits would have evolved to the current orbital configuration, provided that Jupiter and Saturn crossed their 1:2 orbital resonance. We show that this resonance crossing could have occurred as the giant planets migrated owing to their interaction with a disk of planetesimals6,7. Our model reproduces all the important characteristics of the giant planets' orbits, namely their final semimajor axes, eccentricities and mutual inclinations.

This is a preview of subscription content, access via your institution

Access options

Buy this article

Prices may be subject to local taxes which are calculated during checkout

Figure 1: Orbital evolution of the giant planets.
Figure 2: Comparison of our synthetic final planetary systems with the outer Solar System.

Similar content being viewed by others

References

  1. Pollack, J. B. et al. Formation of the giant planets by concurrent accretion of solids and gas. Icarus 164, 62–85 (1996)

    Article  ADS  Google Scholar 

  2. Lubow, S. H., Seibert, M. & Artymowicz, P. Disk accretion onto high-mass planets. Astrophys. J. 526, 1001–1012 (1999)

    Article  ADS  Google Scholar 

  3. Goldreich, P. & Sari, R. Eccentricity evolution for planets in gaseous disks. Astrophys. J. 585, 1024–1037 (2003)

    Article  ADS  Google Scholar 

  4. Papaloizou, J. C. B., Nelson, R. P. & Masset, F. Orbital eccentricity growth through disk-companion tidal interaction. Astron. Astrophys. 366, 263–275 (2001)

    Article  ADS  CAS  Google Scholar 

  5. Zakamska, N. L. & Tremaine, S. Excitation and propagation of eccentricity disturbances in planetary systems. Astron. J. 128, 869–877 (2004)

    Article  ADS  Google Scholar 

  6. Fernandez, J. A. & Ip, W.-H. Some dynamical aspects of the accretion of Uranus and Neptune—The exchange of orbital angular momentum with planetesimals. Icarus 58, 109–120 (1984)

    Article  ADS  Google Scholar 

  7. Malhotra, R. The origin of Pluto's orbit: implications for the Solar System beyond Neptune. Astron. J. 110, 420–432 (1995)

    Article  ADS  Google Scholar 

  8. Hahn, J. M. & Malhotra, R. Orbital evolution of planets embedded in a planetesimal disk. Astron. J. 117, 3041–3053 (1999)

    Article  ADS  Google Scholar 

  9. Gomes, R. The origin of the Kuiper Belt high-inclination population. Icarus 161, 404–418 (2003)

    Article  ADS  Google Scholar 

  10. Levison, H. F. & Morbidelli, A. The formation of the Kuiper belt by the outward transport of bodies during Neptune's migration. Nature 426, 419–421 (2003)

    Article  ADS  CAS  Google Scholar 

  11. Gomes, R. S., Morbidelli, A. & Levison, H. F. Planetary migration in a planetesimal disk: Why did Neptune stop at 30 AU? Icarus 170, 492–507 (2004)

    Article  ADS  Google Scholar 

  12. Kokubo, E. & Ida, S. Orbital evolution of protoplanets embedded in a swarm of planetesimals. Icarus 114, 247–257 (1995)

    Article  ADS  Google Scholar 

  13. Duncan, M. J., Levison, H. F. & Lee, M. H. A multiple time step symplectic algorithm for integrating close encounters. Astron. J. 116, 2067–2077 (1998)

    Article  ADS  Google Scholar 

  14. Chambers, J. E. A hybrid symplectic integrator that permits close encounters between massive bodies. Mon. Not. R. Astron. Soc. 304, 793–799 (1999)

    Article  ADS  Google Scholar 

  15. Murray, C. & Dermott, S. F. Solar System Dynamics (Cambridge Univ. Press, Cambridge, UK, 1999)

    MATH  Google Scholar 

  16. Stern, S. A. On the number of planets in the outer solar system—Evidence of a substantial population of 1000-km bodies. Icarus 90, 271–281 (1991)

    Article  ADS  Google Scholar 

  17. Morbidelli, A., Levison, H. F., Tsiganis, K. & Gomes, R. Chaotic capture of Jupiter's Trojan asteroids in the early Solar System. Nature doi:10.1038/nature03540 (this issue)

  18. Gomes, R., Tsiganis, K., Morbidelli, A. & Levison, H. F. Origin of the cataclysmic Late Heavy Bombardment period of the terrestrial planets. Nature doi:10.1038/nature03676 (this issue)

Download references

Acknowledgements

R.G. is grateful to the Conselho Nacional de Desenvolvimento Científico e Tecnológico for financial support of his sabbatical year in the OCA observatory in Nice. The work of K.T. was supported by an EC Marie Curie Individual Fellowship. A.M. and H.F.L. thank the CNRS and the NSF for funding the collaboration between the OCA and the SwRI groups. H.F.L. is grateful to NASA's Origins and PG&G programmes.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to A. Morbidelli.

Ethics declarations

Competing interests

Reprints and permissions information is available at npg.nature.com/reprintsandpermissions. The authors declare no competing financial interests.

Supplementary information

Supplementary Discussion

A detailed illustration of the 1:2 MMR crossing of Jupiter and Saturn. This file also includes Supplementary Figure S1. (PDF 1509 kb)

Rights and permissions

Reprints and permissions

About this article

Cite this article

Tsiganis, K., Gomes, R., Morbidelli, A. et al. Origin of the orbital architecture of the giant planets of the Solar System. Nature 435, 459–461 (2005). https://doi.org/10.1038/nature03539

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1038/nature03539

This article is cited by

Search

Quick links

Nature Briefing

Sign up for the Nature Briefing newsletter — what matters in science, free to your inbox daily.

Get the most important science stories of the day, free in your inbox. Sign up for Nature Briefing