A

Unveiling the β Pictoris system, coupling high contrast imaging, interferometric, and radial velocity data

Astronomy and Astrophysics, vol. 642, pp. A18

Abstract

Context. The nearby and young β Pictoris system hosts a well resolved disk, a directly imaged massive giant planet orbiting at ≃9 au, as well as an inner planet orbiting at ≃2.7 au, which was recently detected through radial velocity (RV). As such, it offers several unique opportunities for detailed studies of planetary system formation and early evolution. Aims. We aim to further constrain the orbital and physical properties of β Pictoris b and c using a combination of high contrast imaging, long base-line interferometry, and RV data. We also predict the closest approaches or the transit times of both planets, and we constrain the presence of additional planets in the system. Methods. We obtained six additional epochs of SPHERE data, six additional epochs of GRAVITY data, and five additional epochs of RV data. We combined these various types of data in a single Markov-chain Monte Carlo analysis to constrain the orbital parameters and masses of the two planets simultaneously. The analysis takes into account the gravitational influence of both planets on the star and hence their relative astrometry. Secondly, we used the RV and high contrast imaging data to derive the probabilities of presence of additional planets throughout the disk, and we tested the impact of absolute astrometry. Results. The orbital properties of both planets are constrained with a semi-major axis of 9.8 ± 0.4 au and 2.7 ± 0.02 au for b and c, respectively, and eccentricities of 0.09 ± 0.1 and 0.27 ± 0.07, assuming the H IPPARCOS distance. We note that despite these low fitting error bars, the eccentricity of β Pictoris c might still be over-estimated. If no prior is provided on the mass of β Pictoris b, we obtain a very low value that is inconsistent with what is derived from brightness-mass models. When we set an evolutionary model motivated prior to the mass of β Pictoris b, we find a solution in the 10–11 M Jup range. Conversely, β Pictoris c’s mass is well constrained, at 7.8 ± 0.4 M Jup , assuming both planets are on coplanar orbits. These values depend on the assumptions on the distance of the β Pictoris system. The absolute astrometry H IPPARCOS - Gaia data are consistent with the solutions presented here at the 2 σ level, but these solutions are fully driven by the relative astrometry plus RV data. Finally, we derive unprecedented limits on the presence of additional planets in the disk. We can now exclude the presence of planets that are more massive than about 2.5 M Jup closer than 3 au, and more massive than 3.5 M Jup between 3 and 7.5 au. Beyond 7.5 au, we exclude the presence of planets that are more massive than 1–2 M Jup . Conclusions. Combining relative astrometry and RVs allows one to precisely constrain the orbital parameters of both planets and to give lower limits to potential additional planets throughout the disk. The mass of β Pictoris c is also well constrained, while additional RV data with appropriate observing strategies are required to properly constrain the mass of β Pictoris b.

Authors 87

  1. Centre National de la Recherche Scientifique · Université Paris Sciences et Lettres · Observatoire de Paris · Sorbonne Université · Institut de Planétologie et d'Astrophysique de Grenoble · Laboratoire d’études spatiales et d’instrumentation en astrophysique · Institut de Mécanique Céleste et de Calcul des Éphémérides · Université Grenoble Alpes

    Affiliation as printed

    IMCCE – Observatoire de Paris, 77 Avenue Denfert-Rochereau, 75014 Paris, France

    IPAG, Univ. Grenoble Alpes, CNRS, IPAG, 38000 Grenoble, France

    LESIA, Observatoire de Paris, Université PSL, CNRS, Sorbonne Université, Université de Paris, 5 place Jules Janssen, 92195 Meudon, France

  2. Affiliation as printed

    Pixyl, 5 Avenue du Grand Sablon, 38700 La Tronche, France

  3. University of Cambridge

    Affiliation as printed

    Institute of Astronomy, University of Cambridge, Madingley Road, Cambridge CB3 0HA, UK

  4. Centre National de la Recherche Scientifique · Université Paris Sciences et Lettres · Observatoire de Paris · Sorbonne Université · Laboratoire d’études spatiales et d’instrumentation en astrophysique

    Affiliation as printed

    LESIA, Observatoire de Paris, Université PSL, CNRS, Sorbonne Université, Université de Paris, 5 place Jules Janssen, 92195 Meudon, France

  5. Centre National de la Recherche Scientifique · Institut de Planétologie et d'Astrophysique de Grenoble · Université Grenoble Alpes

    Affiliation as printed

    IPAG, Univ. Grenoble Alpes, CNRS, IPAG, 38000 Grenoble, France

  6. Centre National de la Recherche Scientifique · Université Paris Sciences et Lettres · Observatoire de Paris · Sorbonne Université · Laboratoire d’études spatiales et d’instrumentation en astrophysique

    Affiliation as printed

    LESIA, Observatoire de Paris, Université PSL, CNRS, Sorbonne Université, Université de Paris, 5 place Jules Janssen, 92195 Meudon, France

  7. École Normale Supérieure de Lyon · Centre National de la Recherche Scientifique · Université de Lyon · Centre de Recherche Astrophysique de Lyon

    Affiliation as printed

    CRAL, UMR 5574, CNRS, Université de Lyon, Ecole Normale Supérieure de Lyon, 46 Allée d’Italie, 69364 Lyon Cedex 07, France

    CRAL, UMR 5574, CNRS, Université de Lyon, Ecole Normale Supérieure de Lyon, 46 Allée d'Italie, 69364 Lyon Cedex 07, France

  8. Centre National de la Recherche Scientifique · Institut de Planétologie et d'Astrophysique de Grenoble · Université Grenoble Alpes

    Affiliation as printed

    IPAG, Univ. Grenoble Alpes, CNRS, IPAG, 38000 Grenoble, France

  9. Osservatorio Astronomico di Padova · National Institute for Astrophysics

    Affiliation as printed

    INAF – Osservatorio Astronomico di Padova, Vicolo dellâ Osservatorio 5, 35122, Padova, Italy

  10. California Institute of Technology

    Affiliation as printed

    Department of Astronomy, California Institute of Technology, Pasadena, CA 91125, USA

  11. Centre National de la Recherche Scientifique · Institut de Planétologie et d'Astrophysique de Grenoble · Université Grenoble Alpes

    Affiliation as printed

    IPAG, Univ. Grenoble Alpes, CNRS, IPAG, 38000 Grenoble, France

  12. Centre National de la Recherche Scientifique · Université Paris Sciences et Lettres · Observatoire de Paris · Sorbonne Université · Laboratoire d’études spatiales et d’instrumentation en astrophysique

    Affiliation as printed

    LESIA, Observatoire de Paris, Université PSL, CNRS, Sorbonne Université, Université de Paris, 5 place Jules Janssen, 92195 Meudon, France

  13. Centre National de la Recherche Scientifique · Université Paris Sciences et Lettres · Observatoire de Paris · Sorbonne Université · Laboratoire d’études spatiales et d’instrumentation en astrophysique

    Affiliation as printed

    LESIA, Observatoire de Paris, Université PSL, CNRS, Sorbonne Université, Université de Paris, 5 place Jules Janssen, 92195 Meudon, France

  14. Centre National de la Recherche Scientifique · Institut de Planétologie et d'Astrophysique de Grenoble · Université Grenoble Alpes

    Affiliation as printed

    IPAG, Univ. Grenoble Alpes, CNRS, IPAG, 38000 Grenoble, France

  15. Centre National de la Recherche Scientifique · Institut de Planétologie et d'Astrophysique de Grenoble · Université Grenoble Alpes

    Affiliation as printed

    IPAG, Univ. Grenoble Alpes, CNRS, IPAG, 38000 Grenoble, France

  16. Centre National de la Recherche Scientifique · Université Paris Sciences et Lettres · Observatoire de Paris · Galaxies, Etoiles, Physique et Instrumentation · Institut de Planétologie et d'Astrophysique de Grenoble · Université Grenoble Alpes

    Affiliation as printed

    GEPI, Observatoire de Paris, PSL University, CNRS; 5 Place Jules Janssen 92190 Meudon, France

    IPAG, Univ. Grenoble Alpes, CNRS, IPAG, 38000 Grenoble, France

    5 Place Jules Janssen 92190 Meudon, France

    GEPI, Observatoire de Paris, PSL University, CNRS

  17. Centre National de la Recherche Scientifique · Aix-Marseille Université

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    Aix-Marseille Univ, CNRS, CNES, LAM, Marseille, France

  18. Centre National de la Recherche Scientifique · Université Paris Sciences et Lettres · Observatoire de Paris · Sorbonne Université · Laboratoire d’études spatiales et d’instrumentation en astrophysique

    Affiliation as printed

    LESIA, Observatoire de Paris, Université PSL, CNRS, Sorbonne Université, Université de Paris, 5 place Jules Janssen, 92195 Meudon, France

  19. Centre National de la Recherche Scientifique · Université Paris Sciences et Lettres · Observatoire de Paris · Sorbonne Université · Laboratoire d’études spatiales et d’instrumentation en astrophysique

    Affiliation as printed

    LESIA, Observatoire de Paris, Université PSL, CNRS, Sorbonne Université, Université de Paris, 5 place Jules Janssen, 92195 Meudon, France

  20. Centre National de la Recherche Scientifique · Aix-Marseille Université · Universidad Diego Portales

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    Aix-Marseille Univ, CNRS, CNES, LAM, Marseille, France

    Núcleo de Astronomía, Facultad de Ingeniería, Universidad Diego Portales, Av. Ejercito 441, Santiago, Chile

  21. University of Liège · Max Planck Institute for Astronomy

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    Max Planck Institute for Astronomy, Königstuhl 17, 69117 Heidelberg, Germany

    STAR Institute/Université de Liège, Liège, Belgium

  22. European Southern Observatory

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    European Southern Observatory, Casilla 19001, Santiago 19, Chile

  23. University of Lisbon · Instituto Superior Técnico · Centro de Astrofísica e Gravitação

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    CENTRA – Centro de Astrofísica e Gravitação, IST, Universidade de Lisboa, 1049-001 Lisboa, Portugal

    Universidade de Lisboa – Faculdade de Ciências, Campo Grande, 1749-016 Lisboa, Portugal

  24. Max Planck Institute for Astronomy

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    Max Planck Institute for Astronomy, Königstuhl 17, 69117 Heidelberg, Germany

  25. Centre National de la Recherche Scientifique · Institut de Planétologie et d'Astrophysique de Grenoble · Université Grenoble Alpes

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    IPAG, Univ. Grenoble Alpes, CNRS, IPAG, 38000 Grenoble, France

  26. Centre National de la Recherche Scientifique · Institut de Planétologie et d'Astrophysique de Grenoble · Université Grenoble Alpes

    Affiliation as printed

    IPAG, Univ. Grenoble Alpes, CNRS, IPAG, 38000 Grenoble, France

  27. Centre National de la Recherche Scientifique · Institut de Planétologie et d'Astrophysique de Grenoble · Université Grenoble Alpes

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    IPAG, Univ. Grenoble Alpes, CNRS, IPAG, 38000 Grenoble, France

  28. Max Planck Institute for Astronomy

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    Max Planck Institute for Astronomy, Königstuhl 17, 69117 Heidelberg, Germany

  29. Max Planck Institute for Astronomy

    Affiliation as printed

    Max Planck Institute for Astronomy, Königstuhl 17, 69117 Heidelberg, Germany

  30. Centre National de la Recherche Scientifique · Université Paris Sciences et Lettres · Observatoire de Paris · Sorbonne Université · Laboratoire d’études spatiales et d’instrumentation en astrophysique

    Affiliation as printed

    LESIA, Observatoire de Paris, Université PSL, CNRS, Sorbonne Université, Université de Paris, 5 place Jules Janssen, 92195 Meudon, France

  31. Centre National de la Recherche Scientifique · Institut de Planétologie et d'Astrophysique de Grenoble · University of Chile · Université Grenoble Alpes

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    IPAG, Univ. Grenoble Alpes, CNRS, IPAG, 38000 Grenoble, France

    Unidad Mixta Internacional Franco-Chilena de Astronomía, CNRS/INSU UMI 3386 and Departamento de Astronomía, Universidad de Chile, Casilla 36-D, Santiago, Chile

  32. Centre National de la Recherche Scientifique · Aix-Marseille Université

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    Aix-Marseille Univ, CNRS, CNES, LAM, Marseille, France

  33. Centre National de la Recherche Scientifique · Université Paris Sciences et Lettres · Observatoire de Paris · Sorbonne Université · Laboratoire d’études spatiales et d’instrumentation en astrophysique

    Affiliation as printed

    LESIA, Observatoire de Paris, Université PSL, CNRS, Sorbonne Université, Université de Paris, 5 place Jules Janssen, 92195 Meudon, France

  34. Monash University

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    School of Physics and Astronomy, Monash University, Clayton, VIC 3800, Melbourne, Australia

  35. Centre National de la Recherche Scientifique · Université Paris Sciences et Lettres · Observatoire de Paris · Sorbonne Université · Laboratoire d’études spatiales et d’instrumentation en astrophysique

    Affiliation as printed

    LESIA, Observatoire de Paris, Université PSL, CNRS, Sorbonne Université, Université de Paris, 5 place Jules Janssen, 92195 Meudon, France

  36. Leiden University · Max Planck Institute for Extraterrestrial Physics · Leiden Observatory

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    Leiden Observatory, Leiden University, PO Box 9513, 2300 RA Leiden, The Netherlands

    Max Planck Institute for extraterrestrial Physics, Gießenbachstraße 1, 85748 Garching, Germany

  37. Osservatorio Astronomico di Padova · National Institute for Astrophysics

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    INAF – Osservatorio Astronomico di Padova, Vicolo dellâ Osservatorio 5, 35122, Padova, Italy

  38. Centre National de la Recherche Scientifique · Institut de Planétologie et d'Astrophysique de Grenoble · Université Grenoble Alpes

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    IPAG, Univ. Grenoble Alpes, CNRS, IPAG, 38000 Grenoble, France

  39. University of Cologne · Max Planck Institute for Radio Astronomy

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    Institute of Physics, University of Cologne, Zülpicher Straße 77, 50937 Cologne, Germany

    Max Planck Institute for Radio Astronomy, Auf dem Hügel 69, 53121 Bonn, Germany

  40. Max Planck Institute for Extraterrestrial Physics

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    Max Planck Institute for extraterrestrial Physics, Gießenbachstraße 1, 85748 Garching, Germany

  41. Centre National de la Recherche Scientifique · Institut de Planétologie et d'Astrophysique de Grenoble · Université Grenoble Alpes

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    IPAG, Univ. Grenoble Alpes, CNRS, IPAG, 38000 Grenoble, France

  42. Max Planck Institute for Extraterrestrial Physics

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    Max Planck Institute for extraterrestrial Physics, Gießenbachstraße 1, 85748 Garching, Germany

  43. University of Lisbon · Universidade do Porto · Instituto Superior Técnico · Centro de Astrofísica e Gravitação

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    CENTRA – Centro de Astrofísica e Gravitação, IST, Universidade de Lisboa, 1049-001 Lisboa, Portugal

    Universidade do Porto, Faculdade de Engenharia, Rua Dr. Roberto Frias, 4200-465 Porto, Portugal

  44. University College Dublin · Max Planck Institute for Astronomy

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    Max Planck Institute for Astronomy, Königstuhl 17, 69117 Heidelberg, Germany

    School of Physics, University College Dublin, Belfield, Dublin 4, Ireland

  45. Centre National de la Recherche Scientifique · Université Paris Sciences et Lettres · Observatoire de Paris · Sorbonne Université · Laboratoire d’études spatiales et d’instrumentation en astrophysique

    Affiliation as printed

    LESIA, Observatoire de Paris, Université PSL, CNRS, Sorbonne Université, Université de Paris, 5 place Jules Janssen, 92195 Meudon, France

  46. Max Planck Institute for Extraterrestrial Physics

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    Max Planck Institute for extraterrestrial Physics, Gießenbachstraße 1, 85748 Garching, Germany

  47. Max Planck Institute for Extraterrestrial Physics

    Affiliation as printed

    Max Planck Institute for extraterrestrial Physics, Gießenbachstraße 1, 85748 Garching, Germany

  48. Space Telescope Science Institute

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    Space Telescope Science Institute, Baltimore, MD 21218, USA

  49. University of Geneva

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    Geneva Observatory, University of Geneva, Chemin des Mailettes 51, 1290 Versoix, Switzerland

  50. European Southern Observatory

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    European Southern Observatory, Casilla 19001, Santiago 19, Chile

  51. Max Planck Institute for Astronomy

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    Max Planck Institute for Astronomy, Königstuhl 17, 69117 Heidelberg, Germany

  52. Centre National de la Recherche Scientifique · Université Paris Sciences et Lettres · Observatoire de Paris · Sorbonne Université · Laboratoire d’études spatiales et d’instrumentation en astrophysique

    Affiliation as printed

    LESIA, Observatoire de Paris, Université PSL, CNRS, Sorbonne Université, Université de Paris, 5 place Jules Janssen, 92195 Meudon, France

  53. Max Planck Institute for Astronomy

    Affiliation as printed

    Max Planck Institute for Astronomy, Königstuhl 17, 69117 Heidelberg, Germany

  54. University of Cologne

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    Institute of Physics, University of Cologne, Zülpicher Straße 77, 50937 Cologne, Germany

  55. Stockholm University · Max Planck Institute for Astronomy · AlbaNova

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    Department of Astronomy, Stockholm University, AlbaNova University Center, 10691 Stockholm, Sweden

    Max Planck Institute for Astronomy, Königstuhl 17, 69117 Heidelberg, Germany

  56. Australian National University · European Southern Observatory

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    European Southern Observatory, Karl-Schwarzschild-StraßBe 2, 85748 Garching, Germany

    Research School of Astronomy & Astrophysics, Australian National University, ACT 2611, Australia

  57. Leiden University · Leiden Observatory

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    Leiden Observatory, Leiden University, PO Box 9513, 2300 RA Leiden, The Netherlands

  58. Max Planck Institute for Astronomy

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    Max Planck Institute for Astronomy, Königstuhl 17, 69117 Heidelberg, Germany

  59. Max Planck Institute for Astronomy · Center for Astrophysics Harvard & Smithsonian

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    Center for Astrophysics | Harvard & Smithsonian, Cambridge, MA 02138, USA

    Max Planck Institute for Astronomy, Königstuhl 17, 69117 Heidelberg, Germany

  60. Centre National de la Recherche Scientifique · Université Paris Sciences et Lettres · Observatoire de Paris · Sorbonne Université · Laboratoire d’études spatiales et d’instrumentation en astrophysique

    Affiliation as printed

    LESIA, Observatoire de Paris, Université PSL, CNRS, Sorbonne Université, Université de Paris, 5 place Jules Janssen, 92195 Meudon, France

  61. Centre National de la Recherche Scientifique · Institut de Planétologie et d'Astrophysique de Grenoble · Université Grenoble Alpes

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    IPAG, Univ. Grenoble Alpes, CNRS, IPAG, 38000 Grenoble, France

  62. Centre National de la Recherche Scientifique · Université Paris Sciences et Lettres · Observatoire de Paris · Sorbonne Université · Laboratoire d’études spatiales et d’instrumentation en astrophysique

    Affiliation as printed

    LESIA, Observatoire de Paris, Université PSL, CNRS, Sorbonne Université, Université de Paris, 5 place Jules Janssen, 92195 Meudon, France

  63. European Southern Observatory

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    European Southern Observatory, Karl-Schwarzschild-StraßBe 2, 85748 Garching, Germany

  64. Osservatorio Astrofisico di Catania

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    INAF – Osservatorio Astrofisico di Catania, Via S. Sofia 78, 95123 Catania, Italy

  65. Max Planck Institute for Astronomy

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    Max Planck Institute for Astronomy, Königstuhl 17, 69117 Heidelberg, Germany

  66. University of Michigan

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    Astronomy Department, University of Michigan, Ann Arbor, MI 48109, USA

  67. Max Planck Institute for Extraterrestrial Physics

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    Max Planck Institute for extraterrestrial Physics, Gießenbachstraße 1, 85748 Garching, Germany

  68. Centre National de la Recherche Scientifique · Aix-Marseille Université

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    Aix-Marseille Univ, CNRS, CNES, LAM, Marseille, France

  69. Centre National de la Recherche Scientifique · Université Paris Sciences et Lettres · Observatoire de Paris · Sorbonne Université · Laboratoire d’études spatiales et d’instrumentation en astrophysique

    Affiliation as printed

    LESIA, Observatoire de Paris, Université PSL, CNRS, Sorbonne Université, Université de Paris, 5 place Jules Janssen, 92195 Meudon, France

  70. European Southern Observatory

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    European Southern Observatory, Casilla 19001, Santiago 19, Chile

  71. Centre National de la Recherche Scientifique · Institut de Planétologie et d'Astrophysique de Grenoble · Université Grenoble Alpes

    Affiliation as printed

    IPAG, Univ. Grenoble Alpes, CNRS, IPAG, 38000 Grenoble, France

  72. Centre National de la Recherche Scientifique · Université Paris Sciences et Lettres · Observatoire de Paris · Sorbonne Université · Laboratoire d’études spatiales et d’instrumentation en astrophysique

    Affiliation as printed

    LESIA, Observatoire de Paris, Université PSL, CNRS, Sorbonne Université, Université de Paris, 5 place Jules Janssen, 92195 Meudon, France

  73. Space Telescope Science Institute

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    Space Telescope Science Institute, Baltimore, MD 21218, USA

  74. European Southern Observatory

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    European Southern Observatory, Karl-Schwarzschild-StraßBe 2, 85748 Garching, Germany

  75. Cornell University

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    Cornell Center for Astrophysics and Planetary Science, Department of Astronomy, Cornell University, Ithaca, NY 14853, USA

  76. Centre National de la Recherche Scientifique · Université Paris Sciences et Lettres · Observatoire de Paris · Sorbonne Université · Laboratoire d’études spatiales et d’instrumentation en astrophysique

    Affiliation as printed

    LESIA, Observatoire de Paris, Université PSL, CNRS, Sorbonne Université, Université de Paris, 5 place Jules Janssen, 92195 Meudon, France

  77. Centre National de la Recherche Scientifique · Université Paris Sciences et Lettres · Observatoire de Paris · Sorbonne Université · Laboratoire d’études spatiales et d’instrumentation en astrophysique

    Affiliation as printed

    LESIA, Observatoire de Paris, Université PSL, CNRS, Sorbonne Université, Université de Paris, 5 place Jules Janssen, 92195 Meudon, France

  78. Max Planck Institute for Astronomy

    Affiliation as printed

    Max Planck Institute for Astronomy, Königstuhl 17, 69117 Heidelberg, Germany

  79. Max Planck Institute for Extraterrestrial Physics

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    Max Planck Institute for extraterrestrial Physics, Gießenbachstraße 1, 85748 Garching, Germany

  80. Affiliation as printed

    Hamburger Sternwarte, Gojenbergsweg 112 21029 Hamburg, Germany

  81. Max Planck Institute for Extraterrestrial Physics

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    Max Planck Institute for extraterrestrial Physics, Gießenbachstraße 1, 85748 Garching, Germany

  82. University of Cologne

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    Institute of Physics, University of Cologne, Zülpicher Straße 77, 50937 Cologne, Germany

  83. ETH Zurich · Institute for Particle Physics and Astrophysics

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    Institute for Particle Physics and Astrophysics, ETH Zurich, Wolfgang-Pauli-Strasse 27, 8093 Zurich, Switzerland

  84. Centre National de la Recherche Scientifique · Aix-Marseille Université

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    Aix-Marseille Univ, CNRS, CNES, LAM, Marseille, France

  85. Centre National de la Recherche Scientifique · Université Paris Sciences et Lettres · Observatoire de Paris · Sorbonne Université · Laboratoire d’études spatiales et d’instrumentation en astrophysique

    Affiliation as printed

    LESIA, Observatoire de Paris, Université PSL, CNRS, Sorbonne Université, Université de Paris, 5 place Jules Janssen, 92195 Meudon, France

  86. Max Planck Institute for Extraterrestrial Physics

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    Max Planck Institute for extraterrestrial Physics, Gießenbachstraße 1, 85748 Garching, Germany

  87. European Southern Observatory

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    European Southern Observatory, Karl-Schwarzschild-StraßBe 2, 85748 Garching, Germany

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References 88