A

Euclid: Calibrating distances from surface brightness fluctuations with Early Release Observations of the Fornax cluster

arXiv (Cornell University)

Abstract

Surface brightness fluctuations (SBF), the pixel-to-pixel variations in flux that arise from the statistical distribution of stars in galaxy images, provide a powerful tool to measure redshift-independent distances from photometric data alone. This method is particularly important in the era of large imaging surveys, such as those carried out during the Euclid mission. Here we present the first application of SBF to Euclid data, using the FAST-SBF code to measure stellar fluctuation amplitudes in the $I_\mathrm{E}$ band for a sample of galaxies in the Early Release Observations (ERO) of the Fornax galaxy cluster. Although the Euclid data reduction pipeline is not optimized for SBF measurements, extensive testing suggests that we are able to extract robust results. We calibrate the absolute fluctuation magnitude $\overline{M}_\mathrm{IE}$ as a function of the $(I_\mathrm{E}{-}H_\mathrm{E})$ colour for 15 galaxies in Fornax, then test this relation on galaxies in two other ERO fields: the Perseus cluster and dwarf satellite candidates around NGC 6744. Overall, we find reasonable agreement with distances in the literature and good agreement in cases where FAST-SBF indicates the measurements are robust. Finally, we compare our results against Stellar Population Tools (SPoT) simple stellar population models, and discuss the possibility of using SBF with Euclid to probe the underlying stellar populations of the galaxies.

Authors 99

  1. Collurania Teramo Observatory

    Affiliation as printed

    INAF - Osservatorio Astronomico d'Abruzzo, Via Maggini, 64100, Teramo, Italy

  2. Collurania Teramo Observatory

    Affiliation as printed

    INAF - Osservatorio Astronomico d'Abruzzo, Via Maggini, 64100, Teramo, Italy

  3. Collurania Teramo Observatory

    Affiliation as printed

    INAF - Osservatorio Astronomico d'Abruzzo, Via Maggini, 64100, Teramo, Italy

  4. Collurania Teramo Observatory

    Affiliation as printed

    INAF - Osservatorio Astronomico d'Abruzzo, Via Maggini, 64100, Teramo, Italy

  5. National Centre for Nuclear Research · Collurania Teramo Observatory · Gran Sasso Science Institute

    Affiliation as printed

    National Centre for Nuclear Research, ul. Pasteura 7, 02-093, Warsaw, Poland

    Gran Sasso Science Institute

    INAF - Osservatorio Astronomico d'Abruzzo, Via Maggini, 64100, Teramo, Italy

  6. Centre National de la Recherche Scientifique · Université Paris Cité · Institut National de Physique Nucléaire et de Physique des Particules · Centre Pierre Binétruy · University of California, Berkeley

    Affiliation as printed

    Université Paris Cité, CNRS, Astroparticule et Cosmologie, 75013 Paris, France

    CNRS-UCB International Research Laboratory, Centre Pierre Binétruy, IRL2007, CPB-IN2P3, Berkeley, USA

  7. Centre National de la Recherche Scientifique · Observatoire astronomique de Strasbourg · Université de Strasbourg

    Affiliation as printed

    Université de Strasbourg, CNRS, Observatoire astronomique de Strasbourg, UMR 7550, 67000 Strasbourg, France

  8. University of Cambridge

    Affiliation as printed

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

  9. Astronomical Observatory of Rome · National Institute for Astrophysics

    Affiliation as printed

    INAF-Osservatorio Astronomico di Roma, Via Frascati 33, 00078 Monteporzio Catone, Italy

  10. Arcetri Astrophysical Observatory · National Institute for Astrophysics

    Affiliation as printed

    INAF-Osservatorio Astrofisico di Arcetri, Largo E. Fermi 5, 50125, Firenze, Italy

  11. Centre National de la Recherche Scientifique · Université Paris Cité · Commissariat à l'Énergie Atomique et aux Énergies Alternatives · Université Paris-Saclay · Astrophysique, Instrumentation et Modélisation

    Affiliation as printed

    Université Paris-Saclay, Université Paris Cité, CEA, CNRS, AIM, 91191, Gif-sur-Yvette, France

  12. University of Arizona · NSF NOIRLab

    Affiliation as printed

    NSF's NOIR, Lab 950 N. Cherry Avenue, Tucson, Arizona 85719, USA

    Steward Observatory, University of Arizona, 933 N. Cherry Ave, Tucson, AZ 85750, USA

  13. Utah Valley University

    Affiliation as printed

    Utah Valley University, Orem, UT 84058, USA

  14. Astronomical Observatory of Rome · National Institute for Astrophysics

    Affiliation as printed

    INAF-Osservatorio Astronomico di Roma, Via Frascati 33, 00078 Monteporzio Catone, Italy

  15. Trieste Astronomical Observatory

    Affiliation as printed

    INAF-Osservatorio Astronomico di Trieste, Via G. B. Tiepolo 11, 34143 Trieste, Italy

  16. Centre National de la Recherche Scientifique · Observatoire astronomique de Strasbourg · Université de Strasbourg

    Affiliation as printed

    Université de Strasbourg, CNRS, Observatoire astronomique de Strasbourg, UMR 7550, 67000 Strasbourg, France

  17. Max Planck Institute for Extraterrestrial Physics

    Affiliation as printed

    Max Planck Institute for Extraterrestrial Physics, Giessenbachstr. 1, 85748 Garching, Germany

  18. University of Groningen

    Affiliation as printed

    Kapteyn Astronomical Institute, University of Groningen, PO Box 800, 9700 AV Groningen, The Netherlands

  19. Centre National de la Recherche Scientifique · Observatoire astronomique de Strasbourg · Université de Strasbourg

    Affiliation as printed

    Université de Strasbourg, CNRS, Observatoire astronomique de Strasbourg, UMR 7550, 67000 Strasbourg, France

  20. Universität Innsbruck

    Affiliation as printed

    Universität Innsbruck, Institut für Astro- und Teilchenphysik, Technikerstr. 25/8, 6020 Innsbruck, Austria

  21. Collurania Teramo Observatory · Gran Sasso Science Institute

    Affiliation as printed

    INAF - Osservatorio Astronomico d'Abruzzo, Via Maggini, 64100, Teramo, Italy

    Gran Sasso Science Institute

  22. University of Groningen

    Affiliation as printed

    Kapteyn Astronomical Institute, University of Groningen, PO Box 800, 9700 AV Groningen, The Netherlands

  23. University of Oulu

    Affiliation as printed

    Space physics and astronomy research unit, University of Oulu, Pentti Kaiteran katu 1, FI-90014 Oulu, Finland

  24. Isaac Newton Group

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    Isaac Newton Group of Telescopes, Apartado 321, 38700 Santa Cruz de La Palma, Spain

  25. Centre National de la Recherche Scientifique · Observatoire astronomique de Strasbourg · Université de Strasbourg

    Affiliation as printed

    Université de Strasbourg, CNRS, Observatoire astronomique de Strasbourg, UMR 7550, 67000 Strasbourg, France

  26. Max Planck Institute for Astronomy

    Affiliation as printed

    Max-Planck-Institut für Astronomie, Königstuhl 17, 69117 Heidelberg, Germany

  27. University of Cambridge

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

  28. Centre National de la Recherche Scientifique · University of Nottingham · Observatoire astronomique de Strasbourg · Université de Strasbourg

    Affiliation as printed

    School of Physics and Astronomy, University of Nottingham, University Park, Nottingham NG7 2RD, UK

    Université de Strasbourg, CNRS, Observatoire astronomique de Strasbourg, UMR 7550, 67000 Strasbourg, France

  29. Centre National de la Recherche Scientifique · Observatoire astronomique de Strasbourg · Université de Strasbourg

    Affiliation as printed

    Université de Strasbourg, CNRS, Observatoire astronomique de Strasbourg, UMR 7550, 67000 Strasbourg, France

  30. European Space Astronomy Centre

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    ESAC/ESA, Camino Bajo del Castillo, s/n., Urb. Villafranca del Castillo, 28692 Villanueva de la Cañada, Madrid, Spain

  31. Brera Astronomical Observatory

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    INAF-Osservatorio Astronomico di Brera, Via Brera 28, 20122 Milano, Italy

  32. Osservatorio di Astrofisica e Scienza dello Spazio · National Institute for Astrophysics

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    INAF-Osservatorio di Astrofisica e Scienza dello Spazio di Bologna, Via Piero Gobetti 93/3, 40129 Bologna, Italy

  33. Scuola Internazionale Superiore di Studi Avanzati · Trieste Astronomical Observatory · Istituto Nazionale di Fisica Nucleare, Sezione di Trieste · Institute for Fundamental Physics of the Universe

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    IFPU, Institute for Fundamental Physics of the Universe, via Beirut 2, 34151 Trieste, Italy

    INAF-Osservatorio Astronomico di Trieste, Via G. B. Tiepolo 11, 34143 Trieste, Italy

    INFN, Sezione di Trieste, Via Valerio 2, 34127 Trieste TS, Italy

    SISSA, International School for Advanced Studies, Via Bonomea 265, 34136 Trieste TS, Italy

  34. Istituto Nazionale di Fisica Nucleare, Sezione di Bologna · Osservatorio di Astrofisica e Scienza dello Spazio · National Institute for Astrophysics · University of Bologna

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    Dipartimento di Fisica e Astronomia, Università di Bologna, Via Gobetti 93/2, 40129 Bologna, Italy

    INAF-Osservatorio di Astrofisica e Scienza dello Spazio di Bologna, Via Piero Gobetti 93/3, 40129 Bologna, Italy

    INFN-Sezione di Bologna, Viale Berti Pichat 6/2, 40127 Bologna, Italy

  35. Osservatorio Astronomico di Padova

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    INAF-Osservatorio Astronomico di Padova, Via dell'Osservatorio 5, 35122 Padova, Italy

  36. Osservatorio di Astrofisica e Scienza dello Spazio · National Institute for Astrophysics

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    INAF-Osservatorio di Astrofisica e Scienza dello Spazio di Bologna, Via Piero Gobetti 93/3, 40129 Bologna, Italy

  37. Osservatorio di Astrofisica e Scienza dello Spazio · National Institute for Astrophysics

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    INAF-Osservatorio di Astrofisica e Scienza dello Spazio di Bologna, Via Piero Gobetti 93/3, 40129 Bologna, Italy

  38. Max Planck Institute for Extraterrestrial Physics · Ludwig-Maximilians-Universität München

    Affiliation as printed

    Max Planck Institute for Extraterrestrial Physics, Giessenbachstr. 1, 85748 Garching, Germany

    Universitäts-Sternwarte München, Fakultät für Physik, Ludwig-Maximilians-Universität München, Scheinerstr. 1, 81679 München, Germany

  39. Trieste Astronomical Observatory · Institute for Fundamental Physics of the Universe

    Affiliation as printed

    INAF-Osservatorio Astronomico di Trieste, Via G. B. Tiepolo 11, 34143 Trieste, Italy

    IFPU, Institute for Fundamental Physics of the Universe, via Beirut 2, 34151 Trieste, Italy

  40. Brera Astronomical Observatory · Istituto Nazionale di Fisica Nucleare, Sezione di Genova · University of Genoa

    Affiliation as printed

    Dipartimento di Fisica, Università di Genova, Via Dodecaneso 33, 16146, Genova, Italy

    INFN-Sezione di Genova, Via Dodecaneso 33, 16146, Genova, Italy

    INAF-Osservatorio Astronomico di Brera, Via Brera 28, 20122 Milano, Italy

  41. Astronomical Observatory of Capodimonte · University of Naples Federico II

    Affiliation as printed

    Department of Physics "E. Pancini", University Federico II, Via Cinthia 6, 80126, Napoli, Italy

    INAF-Osservatorio Astronomico di Capodimonte, Via Moiariello 16, 80131 Napoli, Italy

  42. Istituto Nazionale di Fisica Nucleare, Sezione di Torino · Osservatorio Astrofisico di Torino · University of Turin · National Institute for Astrophysics

    Affiliation as printed

    Dipartimento di Fisica, Università degli Studi di Torino, Via P. Giuria 1, 10125 Torino, Italy

    INFN-Sezione di Torino, Via P. Giuria 1, 10125 Torino, Italy

    INAF-Osservatorio Astrofisico di Torino, Via Osservatorio 20, 10025 Pino Torinese

  43. Osservatorio Astrofisico di Torino · National Institute for Astrophysics

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    INAF-Osservatorio Astrofisico di Torino, Via Osservatorio 20, 10025 Pino Torinese

  44. National Institute for Astrophysics

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    INAF-IASF Milano, Via Alfonso Corti 12, 20133 Milano, Italy

  45. Astronomical Observatory of Rome · Istituto Nazionale di Fisica Nucleare, Sezione di Roma I · National Institute for Astrophysics

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    INAF-Osservatorio Astronomico di Roma, Via Frascati 33, 00078 Monteporzio Catone, Italy

    INFN-Sezione di Roma, Piazzale Aldo Moro, 2 - c/o Dipartimento di Fisica, Edificio G. Marconi, 00185 Roma, Italy

  46. Port d'Informació Científica · Centro de Investigaciones Energéticas, Medioambientales y Tecnológicas

    Affiliation as printed

    Centro de Investigaciones Energéticas, Medioambientales y Tecnológicas

    Port d'Informació Científica, Campus UAB, C. Albareda s/n, 08193 Bellaterra

  47. Deutsches Zentrum für Luft- und Raumfahrt e. V. (DLR)

    Affiliation as printed

    Institute for Theoretical Particle Physics and Cosmology

    Deutsches Zentrum für Luft- und Raumfahrt e. V

  48. Astronomical Observatory of Rome · National Institute for Astrophysics

    Affiliation as printed

    INAF-Osservatorio Astronomico di Roma, Via Frascati 33, 00078 Monteporzio Catone, Italy

  49. Osservatorio di Astrofisica e Scienza dello Spazio · National Institute for Astrophysics

    Affiliation as printed

    INAF-Osservatorio di Astrofisica e Scienza dello Spazio di Bologna, Via Piero Gobetti 93/3, 40129 Bologna, Italy

  50. Astronomical Observatory of Capodimonte · Istituto Nazionale di Fisica Nucleare, Sezione di Napoli

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    INAF-Osservatorio Astronomico di Capodimonte, Via Moiariello 16, 80131 Napoli, Italy

    INFN section of Naples, Via Cinthia 6, 80126, Napoli, Italy

  51. University of Hawaiʻi at Mānoa · University of Hawaii System

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    Institute for Astronomy, University of Hawaii, 2680 Woodlawn Drive, Honolulu, HI 96822, USA

  52. University of Bologna

    Affiliation as printed

    Dipartimento di Fisica e Astronomia "Augusto Righi" - Alma Mater Studiorum Università di Bologna, Viale Berti Pichat 6/2, 40127 Bologna, Italy

  53. Instituto de Astrofísica de Canarias

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    Instituto de Astrofísica de Canarias, E-38205 La Laguna, Tenerife, Spain

  54. University of Manchester

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    Jodrell Bank Centre for Astrophysics, Department of Physics and Astronomy, University of Manchester, Oxford Road, Manchester M13 9PL, UK

  55. European Space Agency · European Space Astronomy Centre · European Space Research Institute

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    European Space Agency/ESRIN, Largo Galileo Galilei 1, 00044 Frascati, Roma, Italy

    ESAC/ESA, Camino Bajo del Castillo, s/n., Urb. Villafranca del Castillo, 28692 Villanueva de la Cañada, Madrid, Spain

  56. Lyon 1 Université · Centre National de la Recherche Scientifique · Institut National de Physique Nucléaire et de Physique des Particules · Institut de Physique des 2 Infinis de Lyon

    Affiliation as printed

    Université Claude Bernard Lyon 1, CNRS/IN2P3, IP2I Lyon, UMR 5822, Villeurbanne, F-69100, France

  57. Institució Catalana de Recerca i Estudis Avançats · Institute of Space Sciences · Institut de Ciències del Cosmos

    Affiliation as printed

    Institut de Ciències del Cosmos

    Institució Catalana de Recerca i Estudis Avançats

    Institut de Ciencies de l'Espai

  58. Lyon 1 Université · Centre National de la Recherche Scientifique · Institut National de Physique Nucléaire et de Physique des Particules · Institut de Physique des 2 Infinis de Lyon

    Affiliation as printed

    UCB Lyon 1, CNRS/IN2P3, IUF, IP2I Lyon, 4 rue Enrico Fermi, 69622 Villeurbanne, France

  59. University College London

    Affiliation as printed

    Mullard Space Science Laboratory, University College London, Holmbury St Mary, Dorking, Surrey RH5 6NT, UK

  60. University of Geneva

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    Department of Astronomy, University of Geneva, ch. d'Ecogia 16, 1290 Versoix, Switzerland

  61. Trieste Astronomical Observatory

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    INAF-Osservatorio Astronomico di Trieste, Via G. B. Tiepolo 11, 34143 Trieste, Italy

  62. Centre National de la Recherche Scientifique · Université Paris-Saclay · Institut d'Astrophysique Spatiale

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    Université Paris-Saclay, CNRS, Institut d'astrophysique spatiale, 91405, Orsay, France

  63. University of Geneva

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    Department of Astronomy, University of Geneva, ch. d'Ecogia 16, 1290 Versoix, Switzerland

  64. European Space Astronomy Centre

    Affiliation as printed

    ESAC/ESA, Camino Bajo del Castillo, s/n., Urb. Villafranca del Castillo, 28692 Villanueva de la Cañada, Madrid, Spain

  65. Centre National de la Recherche Scientifique · Aix-Marseille Université · Centre de physique des particules de Marseille · Institut National de Physique Nucléaire et de Physique des Particules

    Affiliation as printed

    Aix-Marseille Université, CNRS/IN2P3, CPPM, Marseille, France

  66. Max Planck Institute for Extraterrestrial Physics · Ludwig-Maximilians-Universität München

    Affiliation as printed

    Max Planck Institute for Extraterrestrial Physics, Giessenbachstr. 1, 85748 Garching, Germany

    Universitäts-Sternwarte München, Fakultät für Physik, Ludwig-Maximilians-Universität München, Scheinerstr. 1, 81679 München, Germany

  67. Institute for Space Astrophysics and Planetology · National Institute for Astrophysics

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    INAF-Istituto di Astrofisica e Planetologia Spaziali, via del Fosso del Cavaliere, 100, 00100 Roma, Italy

  68. Osservatorio di Astrofisica e Scienza dello Spazio · National Institute for Astrophysics

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    INAF-Osservatorio di Astrofisica e Scienza dello Spazio di Bologna, Via Piero Gobetti 93/3, 40129 Bologna, Italy

  69. Lyon 1 Université · Centre National de la Recherche Scientifique · Institut National de Physique Nucléaire et de Physique des Particules · Institut de Physique des 2 Infinis de Lyon

    Affiliation as printed

    Université Claude Bernard Lyon 1, CNRS/IN2P3, IP2I Lyon, UMR 5822, Villeurbanne, F-69100, France

  70. University of Bristol

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    School of Physics, HH Wills Physics Laboratory, University of Bristol, Tyndall Avenue, Bristol, BS8 1TL, UK

  71. Trieste Astronomical Observatory

    Affiliation as printed

    INAF-Osservatorio Astronomico di Trieste, Via G. B. Tiepolo 11, 34143 Trieste, Italy

  72. Osservatorio di Astrofisica e Scienza dello Spazio · National Institute for Astrophysics

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    INAF-Osservatorio di Astrofisica e Scienza dello Spazio di Bologna, Via Piero Gobetti 93/3, 40129 Bologna, Italy

  73. National Institute for Astrophysics

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    INAF-IASF Milano, Via Alfonso Corti 12, 20133 Milano, Italy

  74. Trieste Astronomical Observatory

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    INAF-Osservatorio Astronomico di Trieste, Via G. B. Tiepolo 11, 34143 Trieste, Italy

  75. Ludwig-Maximilians-Universität München

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    University Observatory, LMU Faculty of Physics, Scheinerstr. 1, 81679 Munich, Germany

  76. Royal Observatory · University of Edinburgh

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    Institute for Astronomy, University of Edinburgh, Royal Observatory, Blackford Hill, Edinburgh EH9 3HJ, UK

  77. Istituto Nazionale di Fisica Nucleare, Sezione di Bologna · Osservatorio di Astrofisica e Scienza dello Spazio · National Institute for Astrophysics

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    INAF-Osservatorio di Astrofisica e Scienza dello Spazio di Bologna, Via Piero Gobetti 93/3, 40129 Bologna, Italy

    INFN-Sezione di Bologna, Viale Berti Pichat 6/2, 40127 Bologna, Italy

  78. European Space Astronomy Centre

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    FRACTAL S.L.N.E., calle Tulipán 2, Portal 13 1A, 28231, Las Rozas de Madrid, Spain

    ESAC/ESA, Camino Bajo del Castillo, s/n., Urb. Villafranca del Castillo, 28692 Villanueva de la Cañada, Madrid, Spain

  79. Max Planck Institute for Extraterrestrial Physics

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    Max Planck Institute for Extraterrestrial Physics, Giessenbachstr. 1, 85748 Garching, Germany

  80. Osservatorio Astronomico di Padova

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    INAF-Osservatorio Astronomico di Padova, Via dell'Osservatorio 5, 35122 Padova, Italy

  81. Max Planck Institute for Extraterrestrial Physics · Ludwig-Maximilians-Universität München

    Affiliation as printed

    Max Planck Institute for Extraterrestrial Physics, Giessenbachstr. 1, 85748 Garching, Germany

    Universitäts-Sternwarte München, Fakultät für Physik, Ludwig-Maximilians-Universität München, Scheinerstr. 1, 81679 München, Germany

  82. University of Oslo

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    Institute of Theoretical Astrophysics, University of Oslo, P.O. Box 1029 Blindern, 0315 Oslo, Norway

  83. Leiden University · Leiden Observatory

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    Leiden Observatory, Leiden University, Einsteinweg 55, 2333 CC Leiden, The Netherlands

  84. Jet Propulsion Laboratory

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    Jet Propulsion Laboratory, California Institute of Technology, 4800 Oak Grove Drive, Pasadena, CA, 91109, USA

  85. Lancaster University

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    Department of Physics, Lancaster University, Lancaster, LA1 4YB, UK

  86. Affiliation as printed

    Felix Hormuth Engineering, Goethestr. 17, 69181 Leimen, Germany

  87. Technical University of Denmark

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    Technical University of Denmark, Elektrovej 327, 2800 Kgs. Lyngby, Denmark

    Cosmic Dawn Center

  88. Max Planck Institute for Astronomy

    Affiliation as printed

    Max-Planck-Institut für Astronomie, Königstuhl 17, 69117 Heidelberg, Germany

  89. Goddard Space Flight Center

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    NASA Goddard Space Flight Center, Greenbelt, MD 20771, USA

  90. University College London

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    Department of Physics and Astronomy, University College London, Gower Street, London WC1E 6BT, UK

  91. Centre National de la Recherche Scientifique · Aix-Marseille Université · Centre de physique des particules de Marseille · Institut National de Physique Nucléaire et de Physique des Particules

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    Aix-Marseille Université, CNRS/IN2P3, CPPM, Marseille, France

  92. Jet Propulsion Laboratory

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    Jet Propulsion Laboratory, California Institute of Technology, 4800 Oak Grove Drive, Pasadena, CA, 91109, USA

  93. Lyon 1 Université · Centre National de la Recherche Scientifique · Institut National de Physique Nucléaire et de Physique des Particules · Institut de Physique des 2 Infinis de Lyon

    Affiliation as printed

    Université Claude Bernard Lyon 1, CNRS/IN2P3, IP2I Lyon, UMR 5822, Villeurbanne, F-69100, France

  94. Ludwig-Maximilians-Universität München

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    Universitäts-Sternwarte München, Fakultät für Physik, Ludwig-Maximilians-Universität München, Scheinerstr. 1, 81679 München, Germany

  95. University of Geneva

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    Université de Genève, Département de Physique Théorique and Centre for Astroparticle Physics, 24 quai Ernest-Ansermet, CH-1211 Genève 4, Switzerland

  96. University of Helsinki · Helsinki Institute of Physics

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    Department of Physics, P.O. Box 64, University of Helsinki, 00014 Helsinki, Finland

    Helsinki Institute of Physics, Gustaf Hällströmin katu 2, University of Helsinki, 00014 Helsinki, Finland

  97. Centre National de la Recherche Scientifique · Université Paris Sciences et Lettres · Observatoire de Paris · Sorbonne Université · Laboratoire d'Étude de l'Univers et des Phénomènes Extrêmes

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    Laboratoire d'etude de l'Univers et des phenomenes eXtremes, Observatoire de Paris, Université PSL, Sorbonne Université, CNRS, 92190 Meudon, France

  98. University of Oslo

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    Institute of Theoretical Astrophysics, University of Oslo, P.O. Box 1029 Blindern, 0315 Oslo, Norway

  99. University of Helsinki · Helsinki Institute of Physics

    Affiliation as printed

    Department of Physics, P.O. Box 64, University of Helsinki, 00014 Helsinki, Finland

    Helsinki Institute of Physics, Gustaf Hällströmin katu 2, University of Helsinki, 00014 Helsinki, Finland

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