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:

Transition from eyeball to snowball driven by sea-ice drift on tidally locked terrestrial planets

Abstract

Tidally locked terrestrial planets around low-mass stars are the prime targets for future atmospheric characterizations of potentially habitable systems1, especially the three nearby ones—Proxima b (ref. 2), TRAPPIST-1e (ref. 3) and LHS 1140b (ref. 4). Previous studies suggest that if these planets had surface oceans they would be in an eyeball-like climate state5,6,7,8,9,10: ice free in the vicinity of the substellar point and ice covered in the remaining regions. However, an important component of the climate system—sea-ice dynamics—has not been fully considered in previous studies. A fundamental question is whether an open ocean is stable against a globally ice-covered snowball state. Here we show that sea-ice drift cools the ocean’s surface when the ice flows towards the warmer substellar region and melts through absorbing heat from the ocean and the overlying air. As a result, the open ocean shrinks and can even disappear when atmospheric greenhouse gases are not much more abundant than on Earth, turning the planet into a snowball state. This occurs for both synchronous rotation and spin–orbit resonances (such as 3:2). These results suggest that sea-ice drift strongly reduces the open-ocean area and can significantly impact the habitability of tidally locked planets.

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

Fig. 1: Sea-ice concentrations in synchronous rotation orbits.
Fig. 2: Physical mechanisms for the effect of sea-ice drift.
Fig. 3: Effects of continents on the sea-ice concentrations.
Fig. 4: Snapshots of ice concentrations in 3:2 resonance orbits.

Similar content being viewed by others

Data availability

The data that support the plots within this paper and other findings of this study are available from the corresponding author on reasonable request.

Code availability

The source codes of the model CCSM3 can be downloaded from www.cesm.ucar.edu/models/ccsm3.0, and changes of the model are available from the corresponding author.

References

  1. Morley, C. V., Kreidberg, L., Rustamkulov, Z., Robinson, T. & Fortney, J. J. Observing the atmospheres of known temperate earth-sized planets with JWST. Astrophys. J. 850, 121 (2017).

    ADS  Google Scholar 

  2. Anglada-Escude, G. et al. A terrestrial planet candidate in a temperate orbit around Proxima Centauri. Nature 536, 437–440 (2016).

    ADS  Google Scholar 

  3. Gillon, M. et al. Seven temperate terrestrial planets around the nearby ultra-cool dwarf star TRAPPIST1. Nature 542, 456–460 (2017).

    ADS  Google Scholar 

  4. Dittmann, J. A. et al. A temperate rocky super-Earth transiting a nearby cool star. Nature 544, 333–336 (2017).

    ADS  Google Scholar 

  5. Pierrehumbert, R. T. A palette of climates for Gliese 581g. Astrophys. J. Lett. 726, L8–L12 (2011).

    ADS  Google Scholar 

  6. Turbet, M. et al. The habitability of Proxima Centauri b-II. Possible climates and observability. Astron. Astrophys. 596, A112 (2016).

    Google Scholar 

  7. Wolf, E. T. Assessing the habitability of the TRAPPIST-1 system using a 3D climate model. Astrophys. J. Lett. 839, L1 (2017).

    ADS  Google Scholar 

  8. Boutle, I. A. et al. Exploring the climate of Proxima B with the Met Office Unified Model. Astron. Astrophys. 601, A120 (2017).

    Google Scholar 

  9. Turbet, M. et al. Modeling climate diversity, tidal dynamics and the fate of volatiles on TRAPPIST-1 planets. Astron. Astrophys. 612, 1–22 (2018).

    Google Scholar 

  10. Del Genio, A. D. et al. Habitable climate scenarios for Proxima Centauri b with a dynamic ocean. Astrobiology 19, 99–125 (2019).

    ADS  Google Scholar 

  11. Hibler, W. D. III A dynamic thermodynamic sea ice model. J. Phys. Oceanogr. 9, 815–846 (1979).

    ADS  Google Scholar 

  12. Lepparanta, M. The Drift of Sea Ice (Springer, 2011).

  13. Hoffman, P. F., Kaufman, A. J., Halverson, G. P. & Schrag, D. P. A Neoproterozoic snowball Earth. Science 281, 1342–1346 (1998).

    ADS  Google Scholar 

  14. Pierrehumbert, R. T., Abbot, D. S., Voigt, A. & Koll, D. Climate of the Neoproterozoic. Annu. Rev. Earth Planet. Sci. 39, 417–460 (2011).

    ADS  Google Scholar 

  15. Voigt, A. & Abbot, D. S. Sea-ice dynamics strongly promote Snowball Earth initiation and destabilize tropical sea-ice margins. Clim. Past 8, 2079–2092 (2012).

    Google Scholar 

  16. Lewis, J. P., Weaver, A. J. & Eby, M. Snowball versus slushball Earth: dynamic versus nondynamic sea ice? J. Geophys. Res. 112, C11014 (2007).

    ADS  Google Scholar 

  17. Hu, Y. & Yang, J. Role of ocean heat transport in climates of tidally locked exoplanets around M dwarf stars. Proc. Natl Acad. Sci. USA 111, 629–634 (2014).

    ADS  Google Scholar 

  18. Showman, A. P., Wordsworth, R. D., Merlis, T. M. & Kaspi, Y. Atmospheric Circulation of Terrestrial Exoplanets (Univ. Arizona Press, 2013).

  19. Haqq-Misra, J. et al. Demarcating circulation regimes of synchronously rotating terrestrial planets near the inner edge of the habitable zone. Astrophys. J. 852, 1 (2017).

    Google Scholar 

  20. Yang, J., Liu, Y., Hu, Y. & Abbot, D. S. Water trapping on tidally locked terrestrial planets requires special conditions. Astrophys. J. Lett. 796, L22 (2014).

    ADS  Google Scholar 

  21. Shields, A. L. et al. The effect of host star spectral energy distribution and ice-albedo feedback on the climate of extrasolar planets. Astrobiology 13, 715–739 (2013).

    ADS  Google Scholar 

  22. Yang, J., Cowan, N. B. & Abbot, D. S. Stabilizing cloud feedback dramatically expands the habitable zone of tidally locked planets. Astrophys. J. Lett. 771, L45 (2013).

    ADS  Google Scholar 

  23. Lindzen, R. S. & Nigam, S. On the role of sea surface temperature gradients in forcing low-level winds and convergence in the tropics. J. Atmos. Sci. 44, 2418–2436 (1987).

    ADS  Google Scholar 

  24. Salameh, J., Popp, M. & Marotzke, J. The role of sea-ice albedo in the climate of slowly rotating aquaplanets. Clim. Dyn. 50, 2395–2410 (2018).

    Google Scholar 

  25. Kaspi, Y. & Showman, A. P. Atmospheric dynamics of terrestrial exoplanets over a wide range of orbital and atmospheric parameters. Astrophys. J. 804, 60 (2015).

    ADS  Google Scholar 

  26. Goldblatt, C. Comment on “Long-term climate forcing by atmospheric oxygen concentrations”. Science 353, 132 (2016).

    ADS  Google Scholar 

  27. Menou, K. Climate stability of habitable Earth-like planets. Earth Planet. Sci. Lett. 429, 20–25 (2015).

    ADS  Google Scholar 

  28. Checlair, J., Menou, K. & Abbot, D. S. No snowball on habitable tidally locked planets. Astrophys. J. 845, 132 (2017).

    ADS  Google Scholar 

  29. de Wit, J. et al. Atmospheric reconnaissance of the habitable-zone Earth-sized planets orbiting TRAPPIST-1. Nat. Astron. 2, 214–219 (2018).

    ADS  Google Scholar 

  30. Tziperman, E. et al. Continental constriction and oceanic ice-cover thickness in a Snowball-Earth scenario. J. Geophys. Res. 117, C05016 (2012).

    ADS  Google Scholar 

  31. Collins, W. D. et al. The Community Climate System Model version 3 (CCSM3). J. Clim. 19, 2122–2143 (2006).

    ADS  Google Scholar 

  32. Rosenbloom, N., Shields, C. A., Brady, E., Yeager, S. & Levis, S. Using CCSM3 for Paleoclimate Applications Technical Note NCAR/TN-483 + STR:81 (NCAR, 2011).

  33. Yang, J., Abbot, D. S., Koll, D. B., Hu, Y. & Showman, A. P. Ocean dynamics and the inner edge of the habitable zone for tidally locked terrestrial planets. Astrophys. J. 871, 1–17 (2019).

    Google Scholar 

  34. Yang, J. et al. Abrupt climate transition of icy worlds from snowball to moist or runaway greenhouse. Nat. Geosci. 10, 556–560 (2017).

    ADS  Google Scholar 

  35. Liu, Y., Peltier, W. R., Yang, J., Vettoretti, G. & Wang, Y. Strong effects of tropical ice sheet coverage and thickness on the hard snowball earth bifurcation point. Clim. Dyn. 48, 3459–3474 (2016).

    Google Scholar 

  36. Collins, W. D. et al. Description of the NCAR Community Atmosphere Model (CAM 3.0) Technical Note NCAR/TN-4641STR; 214 (NCAR, 2004).

  37. Smith, R., & Gent, P. Reference Manual for the Parallel Ocean Program (POP): Ocean Component of the Community Climate System Model (CCSM2.0 and 3.0) Technical Note LAUR-02-2484; 76 (LANL and NCAR, 2004).

  38. Oleson, K. W. et al. Technical Description of the Community Land Model (CLM) Technical Note NCAR/TN-4611STR; 174 (NCAR, 2004).

  39. Briegleb, B. P. et al. Scientific Description of the Sea Ice Component in the Community Climate System Model, Version 3. Technical Note NCAR/TN-4631STR; 78 (NCAR, 2004).

  40. Gent, P. R. & McWilliams, J. C. Isopycnal mixing in ocean circulation models. J. Phys. Oceanogr. 20, 150–155 (1990).

    ADS  Google Scholar 

  41. Bin, J. Y., Tian, F. & Liu, W. New inner boundaries of the habitable zones around M dwarfs. Earth Planet. Sci. Lett. 492, 121–129 (2018).

    ADS  Google Scholar 

  42. Bolmont, E. et al. Water loss from terrestrial planets orbiting ultra cool dwarfs: implications for the planets of TRAPPIST-1. Mon. Not. R. Astron. Soc. 464, 3728–3741 (2017).

    ADS  Google Scholar 

  43. Carone, L., Keppens, R. & Decin, L. Connecting the dots—II. Phase changes in the climate dynamics of tidally locked terrestrial exoplanets. Mon. Not. R. Astron. Soc. 453, 2412–2437 (2015).

    ADS  Google Scholar 

  44. Chemke, R. & Kaspi, Y. Dynamics of massive atmospheres. Astrophys. J. 845, 1–12 (2017).

    ADS  Google Scholar 

  45. Edson, A., Lee, S., Bannon, P., Kasting, J. F. & Pollard, D. Atmospheric circulations of terrestrial planets orbiting low-mass stars. Icarus 212, 1–13 (2011).

    ADS  Google Scholar 

  46. Fujii, Y., Del Genio, A. D. & Amundsen, D. S. NIR-driven moist upper atmospheres of synchronously rotating temperate terrestrial exoplanets. Astrophys. J. 848, 100 (2017).

    ADS  Google Scholar 

  47. Heng, K. & Vogt, S. S. Gliese 581g as a scaled-up version of earth: atmospheric circulation simulations. Mon. Not. R. Astron. Soc. 415, 2145–2157 (2011).

    ADS  Google Scholar 

  48. Joshi, M. M. & Haberle, R. M. Suppression of the water ice and snow albedo feedback on planets orbiting red dwarf stars and the subsequent widening of the habitable zone. Astrobiology 12, 3–8 (2012).

    ADS  Google Scholar 

  49. Koll, D. B. & Abbot, D. S. Temperature structure and atmospheric circulation of dry, tidally locked rocky exoplanets. Astrophys. J. 825, 99 (2016).

    ADS  Google Scholar 

  50. Komacek, T. D. & Abbot, D. S. The atmospheric circulation and climate of terrestrial planets orbiting Sun-like and M-dwarf stars over a broad range of planetary parameters. Astrophys. J. 871, 1–20 (2019).

    Google Scholar 

  51. Kopparapu, R. K. et al. The inner edge of the habitable zone for synchronously rotating planets around low-mass stars using general circulation models. Astrophys. J. 819, 84 (2016).

    ADS  Google Scholar 

  52. Kopparapu, R. K. et al. Habitable moist atmospheres on terrestrial planets near the inner edge of the habitable zone around M dwarfs. Astrophys. J. 845, 1 (2017).

    ADS  Google Scholar 

  53. Leconte, J. et al. 3D climate modeling of close-in land planets: circulation patterns, climate moist bistability and habitability. Astron. Astrophys. 554, A19 (2013).

    Google Scholar 

  54. Merlis, T. M. & Schneider, T. Atmospheric dynamics of Earth-like tidally locked aqua-planets. J. Adv. Model Earth Syst. 2, 13 (2010).

    ADS  Google Scholar 

  55. Menou, K. Water-trapped worlds. Astrophys. J. 774, 51 (2013).

    ADS  Google Scholar 

  56. Noda, S. et al. The circulation pattern and day-night heat transport in the atmosphere of a synchronously rotating aquaplanet: dependence on planetary rotation rate. Icarus 282, 1–18 (2017).

    ADS  Google Scholar 

  57. Shields, A. L. et al. Spectrum-driven planetary deglaciation due to increases in stellar luminosity. Astrophys. J. 785, L9 (2014).

    ADS  Google Scholar 

  58. Wang, Y. et al. Effects of obliquity on the habitability of exoplanets around M dwarfs. Astrophys. J. 823, L20 (2016).

    ADS  Google Scholar 

  59. Wordsworth, R. et al. Gliese 581d is the first discovered terrestrial-mass exoplanet in the habitable zone. Astrophys. J. Lett. 733, L48 (2011).

    ADS  Google Scholar 

  60. Wordsworth, R. Atmospheric heat redistribution and collapse on tidally locked rocky planets. Astrophys. J. 806, 180 (2015).

    ADS  Google Scholar 

  61. Wolf, E. T., Shields, A. L., Kopparapu, R. K., Haqq-Misra, J. & Toon, O. B. Constraints on climate and habitability for Earth-like exoplanets determined from a general circulation model. Astrophys. J. 837, 2 (2017).

    Google Scholar 

  62. Zhang, X. & Showman, A. P. Effects of bulk composition on the atmospheric dynamics on close-in exoplanets. Astrophys. J. 836, 73 (2017).

    ADS  Google Scholar 

  63. Way, M. J., Del Genio, A. D., Kelley, M., Aleinov, I. & Clune T. Exploring the inner edge of the habitable zone with coupled oceans. Preprint at https://arxiv.org/abs/1511.07283 (2015).

  64. Cullum, J., Stevens, D. & Joshi, M. The importance of planetary rotation period for ocean heat transport. Astrobiology 14, 645–650 (2014).

    ADS  Google Scholar 

  65. Cullum, J., Stevens, D. P. & Joshi, M. M. Importance of ocean salinity for climate and habitability. Proc. Natl Acad. Sci. USA 113, 4278–4283 (2016).

    ADS  Google Scholar 

  66. Kimura, N. Sea ice motion in response to surface wind and ocean current in the Southern Ocean. J. Meteor. Soc. Jpn 82, 1223–1231 (2004).

    Google Scholar 

  67. Thorndike, A. S. & Colony, R. Sea ice motion in response to geostrophic winds. J. Geophys. Res. 87, 5845–5852 (1982).

    ADS  Google Scholar 

  68. Pollard, D. & Kasting, J. F. Snowball Earth: a thin-ice solution with flowing sea glaciers. J. Geophys. Res. 110, C07010 (2005).

    ADS  Google Scholar 

  69. Shields, A. L. & Carns, R. C. Hydrohalite salt-albedo feedback could cool M-dwarf planets. Astrophys. J. 867, 11 (2018).

    ADS  Google Scholar 

  70. Allard, F., Homeier, D. & Freytag, B. Models of very-low-mass stars, brown dwarfs, and exoplanets. Philos. Trans. R. Soc. A 370, 2765–2777 (2012).

    ADS  Google Scholar 

  71. Barnes, R., Raymond, S. N., Jackson, B. & Greenberg, R. Tides and the evolution of planetary habitability. Astrobiology 8, 557–568 (2008).

    ADS  Google Scholar 

  72. Leconte, J., Wu, H., Menou, K. & Murray, N. Asynchronous rotation of Earth-mass planets in the habitable zone of lower-mass stars. Science 347, 632–635 (2015).

    ADS  Google Scholar 

  73. Delrez, L. et al. Early 2017 observations of TRAPPIST-1 with Spitzer. Mon. Not. R. Astron. Soc. 475, 3577–3597 (2018).

    ADS  Google Scholar 

  74. Kane, S. R. The impact of stellar distances on habitable zone planets. Astrophys. J. Lett. 861, L21 (2016).

    ADS  Google Scholar 

  75. Grimm, S. L. et al. The nature of the TRAPPIST-1 exoplanets. Astron. Astrophys. 613, A68 (2018).

    Google Scholar 

  76. Ribas, I. et al. The habitability of Proxima Centauri b. I. Irradiation, rotation and volatile inventory from formation to the present. Astron. Astrophys. 596, A111 (2016).

    Google Scholar 

  77. Dong, C., Lingam, M., Ma, Y. & Cohen, C. Is Proxima Centauri b habitable? A study of atmospheric loss. Astrophys. J. Lett. 837, L26 (2017).

    ADS  Google Scholar 

  78. Pierrehumbert, R. T. Principles of Planetary Climate (Cambridge Univ. Press, 2010).

  79. Donohoe, A. & Battisti, D. S. Atmospheric and surface contributions to planetary albedo. J. Clim. 24, 4402–4418 (2011).

    ADS  Google Scholar 

  80. Vallis, G. K. Atmospheric and Oceanic Fluid Dynamics: Fundamentals and Large-Scale Circulation 745 (Cambridge Univ. Press, 2006).

  81. Smith, R. et al. The Parallel Ocean Program (POP) Reference Manual: Ocean Component of the Community Climate System Model (CCSM) and Community Earth System Model (CESM) Technical Note LAUR-10-01853; 141 (LANL, 2010).

  82. Haqq-Misra, J., Kopparapu, R. K., Batalha, N. E., Harman, C. E. & Kasing, J. F. Limit cycles can reduce the width of the habitable zone. Astrophys. J. 827, 120 (2016).

    ADS  Google Scholar 

  83. Abbot, D. S. Analytical investigation of the decrease in the size of the habitable zone due to a limited CO2 outgassing rate. Astrophys. J. 827, 2 (2016).

    Google Scholar 

  84. Kadoya, S. & Tajika, E. Conditions for oceans on earth-like planets orbiting within the habitable zone: importance of volcanic CO2 degassing. Astrophys. J. 790, 2 (2014).

    Google Scholar 

  85. Abbot, D. S., Bloch-Johnson, J., Checlair, J. & Farahat, N. X. Decrease in hysteresis of planetary climate for planets with long solar days. Astrophys. J. 854, 3 (2018).

    ADS  Google Scholar 

Download references

Acknowledgements

We are grateful to F. Ding, T. J. Fauchez, Y. Liu and J. Lin for fruitful discussions, to Y. Hu and Y. Ashkenazy for their great help in improving the manuscript and to Y. Wang for his help in modifying source codes of the model. J.Y. acknowledges support from the National Natural Science Foundation of China (NSFC) grants 41861124002, 41675071, 41606060 and 41761144072.

Author information

Authors and Affiliations

Authors

Contributions

J.Y. formulated the problem, designed the experiments, analysed the data, drew the figures, and wrote the manuscript. J.Y. and W.J. performed the numerical experiments. All authors contributed to data analyses.

Corresponding author

Correspondence to Jun Yang.

Ethics declarations

Competing interests

The authors declare no competing interests.

Additional information

Peer review information Nature Astronomy thanks Dorian Abbot and Jacob Haqq-Misra for their contribution to the peer review of this work.

Publisher’s note Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Supplementary information

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Yang, J., Ji, W. & Zeng, Y. Transition from eyeball to snowball driven by sea-ice drift on tidally locked terrestrial planets. Nat Astron 4, 58–66 (2020). https://doi.org/10.1038/s41550-019-0883-z

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1038/s41550-019-0883-z

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