Kepler-36: A Pair of Planets with Neighboring Orbits and Dissimilar Densities
So Close and So Different
In our solar system, the rocky planets have very distinct orbits from those of the gas giants. Carter et al. (p. 556, published online 21 June) report on a planetary system where this pattern does not apply, posing a challenge to theories of planet formation. Data from the Kepler space telescope reveal two planets with radically different densities orbiting the same star with very similar orbital periods. One planet has a rocky Earth-like composition and the other is akin to Neptune.
Abstract
In the solar system, the planets’ compositions vary with orbital distance, with rocky planets in close orbits and lower-density gas giants in wider orbits. The detection of close-in giant planets around other stars was the first clue that this pattern is not universal and that planets’ orbits can change substantially after their formation. Here, we report another violation of the orbit-composition pattern: two planets orbiting the same star with orbital distances differing by only 10% and densities differing by a factor of 8. One planet is likely a rocky “super-Earth,” whereas the other is more akin to Neptune. These planets are 20 times more closely spaced and have a larger density contrast than any adjacent pair of planets in the solar system.
Get full access to this article
View all available purchase options and get full access to this article.
Already a Subscriber?Sign In
Supplementary Material
Summary
Materials and Methods
Supplementary Text
Figs. S1 to S21
Tables S1 to S9
Movie S1
Resources
References and Notes
1
Mayor M., Queloz D., A Jupiter-mass companion to a solar-type star. Nature 378, 355 (1995).
2
Lin D. N. C., Bodenheimer P., Richardson D. C., Orbital migration of the planetary companion of 51 Pegasi to its present location. Nature 380, 606 (1996).
3
Borucki W. J., et al., Kepler planet-detection mission: Introduction and first results. Science 327, 977 (2010); 10.1126/science.1185402.
4
Koch D. G., et al., Kepler mission design, Realized photometric performance, and early science. Astrophys. J. 713, L79 (2010).
5
Caldwell D. A., et al., Instrument performance in Kepler's first months. Astrophys. J. 713, L92 (2010).
6
Jenkins J. M., et al., Transiting planet search in the Kepler pipeline. Proc. SPIE 7740, 7740-0D (2010).
7
Jenkins J. M., et al., Overview of the Kepler science processing pipeline. Astrophys. J. 713, L87 (2010).
8
Kel'manov A. V., Jeon B., A posteriori joint detection and discrimination of pulses in a quasiperiodic pulse train. IEEE Trans. Signal Process. 52, 645 (2004).
9
E. B. Ford et al., Transit timing observations from Kepler: II. Confirmation of two multiplanet systems via a non-parametric correlation analysis (2012); http://arxiv.org/abs/1201.5409.
10
Steffen J. H., et al., Transit timing observations from Kepler - III. Confirmation of four multiple planet systems by a Fourier-domain study of anticorrelated transit timing variations. Mon. Not. R. Astron. Soc. 421, 2342 (2012).
11
Fabrycky D. C., et al., Transit timing observations from Kepler: IV. Confirmation of 4 multiple planet systems by simple physical models (2012); http://arxiv.org/abs/1201.5415.
12
Marchal C., Bozis G., Hill stability and distance curves for the general three-body problem. Celestial Mech. 26, 311 (1982).
13
Gladman B., Dynamics of systems of two close planets. Icarus 106, 247 (1993).
14
Barnes R., Greenberg R., Stability limits in extrasolar planetary systems. Astrophys. J. 647, L163 (2006).
15
Chaplin W. J., et al., Ensemble asteroseismology of solar-type stars with the NASA Kepler mission. Science 332, 213 (2011).
16
See supplementary materials available on Science Online.
17
Carter J. A., et al., KOI-126: A triply eclipsing hierarchical triple with two low-mass stars. Science 331, 562 (2011); 10.1126/science.1201274.
18
Mandel K., Agol E., Analytic light curves for planetary transit searches. Astrophys. J. 580, L171 (2002).
19
ter Braak C. J. F., Vrugt J. A., 2008, A Markov chain Monte Carlo version of the genetic algorithm differential evolution: Easy Bayesian computing for real parameter spaces. Stat. Comput. 16, 239 (2006).
20
Marcus R. A., Stewart S. T., Sasselov D., Hernquist L., Collisional stripping and disruption of super-Earths. Astrophys. J. 700, L118 (2009).
21
Miralda-Escudé J., Orbital perturbations of transiting planets: A possible method to measure stellar quadrupoles and to detect Earth-mass planets. Astrophys. J. 564, 1019 (2002).
22
Lissauer J. J., et al., A closely packed system of low-mass, low-density planets transiting Kepler-11. Nature 470, 53 (2011).
23
Cochran W. D., et al., Kepler-18b, c, and d: A system of three planets confirmed by transit timing variations, light curve validation, warm-Spitzer photometry, and radial velocity measurements. Astrophys. J. Suppl. Ser. 197, 7 (2011).
24
Gautier T. N., et al., Kepler-20: A Sun-like star with three sub-Neptune exoplanets and two Earth-size candidates. Astrophys. J. 749, 15 (2012).
25
Charbonneau D., et al., A super-Earth transiting a nearby low-mass star. Nature 462, 891 (2009).
26
Hatzes A. P., et al., The mass of CoRoT-7b. Astrophys. J. 743, 75 (2011).
27
Batalha N. M., et al., Kepler's first rocky planet: Kepler-10b. Astrophys. J. 729, 27 (2011).
28
Winn J. N., et al., A super-Earth transiting a naked-eye star. Astrophys. J. 737, L18 (2011).
29
Fortney J. J., Marley M. S., Barnes J. W., Planetary radii across five orders of magnitude in mass and stellar insolation: Application to transits. Astrophys. J. 659, 1661 (2007).
30
Buchhave L., et al., An abundance of small exoplanets around stars with a wide range of metallicities. Nature, published online 13 June 2012; .
31
Kurucz R. L., Model atmospheres for population synthesis. Int. Astron. Union Symp. 149, 225 (1992).
32
Brown T. M., Gilliland R. L., Noyes R. W., Ramsey L. W., Detection of possible p-mode oscillations on Procyon. Astrophys. J. 368, 599 (1991).
33
Kjeldsen H., Bedding T. R., Amplitudes of stellar oscillations: the implications for asteroseismology. Astron. Astrophys. 293, 87 (1995).
34
J. Christensen-Dalsgaard, On the asteroseismic HR diagram, in GONG 1992. Seismic Investigation of the Sun and Stars, vol. 42, of Astronomical Society of the Pacific (ASP) Conference Series, T. M. Brown, Ed. (ASP, San Francisco, CA, 1993), pp. 347–350.
35
Christensen-Dalsgaard J., et al., Asteroseismic investigation of known planet hosts in the Kepler field. Astrophys. J. 713, L164 (2010).
36
Hekker S., et al., The Octave (Birmingham-Sheffield Hallam) automated pipeline for extracting oscillation parameters of solar-like main-sequence stars. Mon. Not. R. Astron. Soc. 402, 2049 (2010).
37
Huber D., et al., Automated extraction of oscillation parameters for Kepler observations of solar-type stars. Commun. Asteroseismol. 160, 74 (2009).
38
Verner G. A., et al., Global asteroseismic properties of solar-like oscillations observed by Kepler: A comparison of complementary analysis methods. Mon. Not. R. Astron. Soc. 415, 3539 (2011).
39
Fletcher S. T., Chaplin W. J., Elsworth Y., New R., Efficient pseudo-global fitting for helioseismic data. Astrophys. J. 694, 144 (2009).
40
Handberg R. T. L., Campante T. L., Bayesian peak-bagging of solar-like oscillators using MCMC: A comprehensive guide. Astron. Astrophys. 527, A56 (2011).
41
Stello D., et al., Radius determination of solar-type stars using asteroseismology: What to expect from the Kepler mission. Astrophys. J. 700, 1589 (2009).
42
Basu S., Chaplin W. J., Elsworth Y., Determination of stellar radii from asteroseismic data. Astrophys. J. 710, 1596 (2010).
43
Quirion P.-O., Christensen-Dalsgaard J., Arentoft T., Automatic determination of stellar parameters via asteroseismology of stochastically oscillating stars: Comparison with direct measurements. Astrophys. J. 725, 2176 (2010).
44
Gai N., Basu S., Chaplin W. J., Elsworth Y., An in-depth study of grid-based asteroseismic analysis. Astrophys. J. 730, 63 (2011).
45
Metcalfe T. S. P., Charbonneau P., Stellar structure modeling using a parallel genetic algorithm for objective global optimization. J. Comput. Phys. 185, 176 (2003).
46
Metcalfe T. S., Creevey O. L., Christensen-Dalsgaard J., A stellar model-fitting pipeline for asteroseismic data from the Kepler mission. Astrophys. J. 699, 373 (2009).
47
M. Woitaszek, T. Metcalfe, I. Shorrock, AMP: A science-driven web-based application for the TeraGrid, in Proceedings of the 5th Grid Computing Environments Workshop (Association for Computing Machinery, New York, 2009), pp. 1–7.
48
Christensen-Dalsgaard J., ASTEC – the Aarhus stellar evolution code. Astrophys. Space Sci. 316, 13 (2008).
49
Christensen-Dalsgaard J., ADIPLS – the Aarhus adiabatic oscillation package. Astrophys. Space Sci. 316, 113 (2008).
50
Alexander D. R. J. W., Ferguson J. W., Low-temperature Rosseland opacities. Astrophys. J. 437, 879 (1994).
51
Bahcall J. N. M. H., Pinsonneault M., Standard solar models, with and without helium diffusion, and the solar neutrino problem. Rev. Mod. Phys. 64, 885 (1992).
52
G. Michaud, C. R. Proffitt, Particle transport processes, in Inside the Stars, vol. 40 of ASP Conference Series, W. W. Weiss, A. Baglin, Eds. (IAU Colloquium no. 137, International Astronomical Union, Paris, 1993), pp. 246–259.
53
Böhm-Vitense E., Über die Wasserstoffkonvektionszone in Sternen verschiedener Effektivtemperaturen und Leuchtkräfte. Mit 5 Textabbildungen. Z. Astrophys. 46, 108 (1958).
54
Kjeldsen H., Bedding T. R., Christensen-Dalsgaard J., Correcting stellar oscillation frequencies for near-surface effects. Astrophys. J. 683, L175 (2008).
55
Creevey O. L., et al., The complementary roles of interferometry and asteroseismology in determining the mass of solar-type stars. Astrophys. J. 659, 616 (2007).
56
Gilliland R. L., et al., Asteroseismology of the Transiting exoplanet host HD 17156 with Hubble Space Telescope Fine Guidance Sensor. Astrophys. J. 726, 2 (2011).
57
Batalha N. M., et al., Kepler’s first rocky planet: Kepler-10b. Astrophys. J. 729, 27 (2011).
58
Rogers F. J., Swenson F. J., Iglesias C. A., OPAL equation-of-state tables for astrophysical applications. Astrophys. J. 456, 902 (1996).
59
Iglesias C. A. F. J., Rogers F. J., Updated Opal opacities. Astrophys. J. 464, 943 (1996).
60
Ferguson J. W., et al., Low-temperature opacities. Astrophys. J. 623, 585 (2005).
61
Angulo C., et al., A compilation of charged-particle induced thermonuclear reaction rates. Nucl. Phys. A. 656, 3 (1999).
62
Scuflaire R., et al., The Liége oscillation code. Astrophys. Space Sci. 316, 149 (2008).
63
Scuflaire R., et al., CLÉS, Code Liégeois d’Évolution Stellaire. Astrophys. Space Sci. 316, 83 (2008).
64
Grevesse N. A., Noels A., Atomic data and the spectrum of the solar photosphere. Phys. Scripta T47, 133 (1993).
65
Rogers F. J. A., Nayfonov A., Updated and expanded OPAL equation-of-state tables: Implications for helioseismology. Astrophys. J. 576, 1064 (2002).
66
Demarque P., Guenther D. B., Li L. H., Mazumdar A., Straka C. W., YREC: The Yale rotating stellar evolution code. Non-rotating version, seismology applications. Astrophys. Space Sci. 316, 31 (2008).
67
Adelberger E. G., et al., Solar fusion cross sections. Rev. Mod. Phys. 70, 1265 (1998).
68
Formicola A., et al., Astrophysical S-factor of 14N(p,γ)15O. Phys. Lett. B 591, 61 (2004).
69
Thoul A. A., Bahcall J. N., Loeb A., Element diffusion in the solar interior. Astrophys. J. 421, 828 (1994).
70
Basu S., Chaplin W. J., Elsworth Y., New R., Serenelli A. M., Fresh insights on the structure of the solar core. Astrophys. J. 699, 1403 (2009).
71
Deheuvels S., et al., Seismic and spectroscopic characterization of the solar-like pulsating CoRoT target HD 49385. Astron. Astrophys. 515, A87 (2010).
72
Metcalfe T. S., et al., A precise asteroseismic age and radius for the evolved Sun-like star KIC 11026764. Astrophys. J. 723, 1583 (2010).
73
Tassoul M., Asymptotic approximations for stellar nonradial pulsations. Astrophys. J. Suppl. Ser. 43, 469 (1980).
74
D. O. Gough, EBK quantization of stellar waves, in Hydrodynamic and Magnetodynamic Problems in the Sun and Stars: Proceedings of the Workshop in Honor or Professor Wasaburo Unno’s 60th Birthday, Held in Tokyo February 26–28, 1986, Y. Osaki, Ed. (University of Tokyo, Tokyo, 1986), pp. 117–143.
75
deMedeiros J. R., Do Nascimento J. D., Mayor M., On the link between rotation and lithium depletion in subgiant stars. Astron. Astrophys. 317, 701 (1997).
76
Agol E., Steffen J., Sari R., Clarkson W., On detecting terrestrial planets with timing of giant planet transits. Mon. Not. R. Astron. Soc. 359, 567 (2005).
77
Doyle L. R., et al., Kepler-16: A transiting circumbinary planet. Science 333, 1602 (2011).
78
Welsh W. F., et al., Transiting circumbinary planets Kepler-34 b and Kepler-35 b. Nature 481, 475 (2012).
79
Soderhjelm S., Third-order and tidal effects in the stellar three-body problem. Astron. Astrophys. 141, 232 (1984).
80
Mardling R. A., Lin D. N. C., Calculating the tidal, spin, and dynamical evolution of extrasolar planetary systems. Astrophys. J. 573, 829 (2002).
81
W. H. Press, S. A. Teukolsky, W. T. Vetterling, B. P. Flannery, Numerical Recipes in C++: The Art of Scientific Computing (Cambridge Univ. Press, Cambridge, 2002).
82
Ragozzine D., Holman M. J., The value of systems with multiple transiting planets (2010); http://arxiv.org/abs/1006.3727.
83
Rogers L. A., Seager S., A framework for quantifying the degeneracies of exoplanet interior compositions. Astrophys. J. 712, 974 (2010).
84
Rogers L. A., Seager S., Three possible origins for the gas layer on GJ 1214b. Astrophys. J. 716, 1208 (2010).
85
Rogers L. A., Bodenheimer P., Lissauer J. J., Seager S., Formation and structure of low-density exo-Neptunes. Astrophys. J. 738, 59 (2011).
86
Marcus R. A., Sasselov D., Hernquist L., Stewart S. T., Minimum radii of super-Earths: Constraints from giant impacts. Astrophys. J. 712, L73 (2010).
87
Miller N., Fortney J. J., The heavy-element masses of extrasolar giant planets, revealed. Astrophys. J. 736, L29 (2011).
88
Nettelmann N., Fortney J. J., Kramm U., Redmer R., Thermal evolution and structure models of the transiting super-Earth GJ 1214b. Astrophys. J. 733, 2 (2011).
89
S. L. Thompson, “ANEOS—Analytic equations of state for shock physics codes” (Sandia National Laboratories Document no. SAND89-2951, Albuquerque, NM, 1990).
90
S. P. Lyon, J. D. Johnson, “SESAME: The Los Alamos National Laboratory equation of state database” (Los Alamos National Laboratory Report no. LA-UR-92-3407, Los Alamos, NM, 1992).
91
Saumon D., Chabrier G., van Horn H. M., An equation of state for low-mass stars and giant planets. Astrophys. J. Suppl. Ser. 99, 713 (1995).
92
Nettelmann N., et al., Ab initio equation of state data for hydrogen, helium, andwater and the internal structure of Jupiter. Astrophys. J. 683, 1217 (2008).
93
Lammer H., et al., Atmospheric loss of exoplanets resulting from stellar x-ray and extreme-ultraviolet heating. Astrophys. J. 598, L121 (2003).
94
Erkaev N. V., et al., Roche lobe effects on the atmospheric loss from “Hot Jupiters”. Astron. Astrophys. 472, 329 (2007).
95
Ribas I., Guinan E. F., G¨udel M., Audard M., Evolution of the solar activity over time and effects on planetary atmospheres. I. High-energy irradiances. Astrophys. J. 622, 680 (2005).
96
Wisdom J., Holman M., Symplectic maps for the n-body problem. Astron. J. 102, 1528 (1991).
97
Wisdom J., Symplectic correctors for canonical heliocentric n-body maps. Astron. J. 131, 2294 (2006).
98
Hamilton D. P., Burns J. A., Orbital stability zones about asteroids. Icarus 92, 118 (1991).
Information & Authors
Information
Published In

Science
Volume 337 | Issue 6094
3 August 2012
3 August 2012
Copyright
Copyright © 2012, American Association for the Advancement of Science.
Article versions
You are viewing the most recent version of this article.
Submission history
Received: 12 April 2012
Accepted: 11 June 2012
Published in print: 3 August 2012
Acknowledgments
NASA’s Science Mission Directorate provided funding for the Kepler Discovery mission. J.A.C. and D.C.F. acknowledge support by NASA through Hubble Fellowship grants HF-51267.01-A and HF-51272.01-A awarded by the Space Telescope Science Institute, which is operated by the Association of Universities for Research in Astronomy, Incorporated, for NASA, under contract NAS 5-26555. E.A. acknowledges NSF Career grant AST-0645416 and thanks the Center for Astrophysics, where this work began. W.J.C., A.M., and Y.E. acknowledge the financial support of the UK Science and Technology Facilities Council (STFC). Funding for the Stellar Astrophysics Centre (SAC) is provided by the Danish National Research Foundation. The research is supported by the ASTERISK project (ASTERoseismic Investigations with SONG and Kepler) funded by the European Research Council (grant agreement no. 267864). S.H. acknowledges financial support from the Netherlands Organization for Scientific Research (NWO). Computational time on Kraken at the National Institute of Computational Sciences was provided through NSF TeraGrid allocation TG-AST090107. J.N.W. was supported by the NASA Kepler Participating Scientist program through grant NNX12AC76G. Refer to the supplementary materials for access information to data used in this work.
Authors
Metrics & Citations
Metrics
Article Usage
Altmetrics
Citations
Export citation
Select the format you want to export the citation of this publication.
Cited by
- Evolution of the Exoplanet Size Distribution: Forming Large Super-Earths Over Billions of Years, The Astronomical Journal, 161, 6, (265), (2021).https://doi.org/10.3847/1538-3881/abf439
- A PSF-based Approach to TESS High quality data Of Stellar clusters (PATHOS) – IV. Candidate exoplanets around stars in open clusters: frequency and age–planetary radius distribution, Monthly Notices of the Royal Astronomical Society, 505, 3, (3767-3784), (2021).https://doi.org/10.1093/mnras/stab1497
- Formation of planetary systems by pebble accretion and migration, Astronomy & Astrophysics, 650, (A152), (2021).https://doi.org/10.1051/0004-6361/201935336
- Refining the Transit-timing and Photometric Analysis of TRAPPIST-1: Masses, Radii, Densities, Dynamics, and Ephemerides, The Planetary Science Journal, 2, 1, (1), (2021).https://doi.org/10.3847/PSJ/abd022
- A Simplified Photodynamical Model for Planetary Mass Determination in Low-eccentricity Multitransiting Systems, The Astrophysical Journal, 908, 1, (114), (2021).https://doi.org/10.3847/1538-4357/abc87a
- An upper limit for the growth of inner planets?, Monthly Notices of the Royal Astronomical Society, 505, 1, (869-888), (2021).https://doi.org/10.1093/mnras/stab1302
- A sub-Neptune and a non-transiting Neptune-mass companion unveiled by ESPRESSO around the bright late-F dwarf HD 5278 (TOI-130), Astronomy & Astrophysics, 648, (A75), (2021).https://doi.org/10.1051/0004-6361/202040034
- The Influence of Age on the Relative Frequency of Super-Earths and Sub-Neptunes, The Astrophysical Journal, 911, 2, (117), (2021).https://doi.org/10.3847/1538-4357/abea9e
- TOI-2076 and TOI-1807: Two Young, Comoving Planetary Systems within 50 pc Identified by TESS that are Ideal Candidates for Further Follow Up, The Astronomical Journal, 162, 2, (54), (2021).https://doi.org/10.3847/1538-3881/ac06cd
- Problem of Minimizing a Sum of Differences of Weighted Convolutions, Computational Mathematics and Mathematical Physics, 60, 12, (1951-1963), (2021).https://doi.org/10.1134/S0965542520120052
- See more
Loading...
View Options
Get Access
Log in to view the full text
AAAS login provides access to Science for AAAS Members, and access to other journals in the Science family to users who have purchased individual subscriptions.
- Become a AAAS Member
- Activate your AAAS ID
- Purchase Access to Other Journals in the Science Family
- Account Help
Log in via OpenAthens.
Log in via Shibboleth.
More options
Register for free to read this article
As a service to the community, this article is available for free. Login or register for free to read this article.
Buy a single issue of Science for just $15 USD.
View options
PDF format
Download this article as a PDF file
Download PDF





