Euclid preparation
Astronomy and Astrophysics, vol. 707, pp. A228
Abstract
We investigated the accuracy and range of validity of the perturbative model for the two-point (2PCF) and three-point (3PCF) correlation functions in real space in view of the forthcoming analysis of the Euclid mission spectroscopic sample. We took advantage of clustering measurements from four snapshots of the Flagship I N -body simulations at z = {0.9,1.2,1.5,1.8}, which mimic the expected galaxy population in the ideal case, i.e. in the absence of observational effects such as purity and completeness. For the 3PCF we considered all available triangular configurations given a minimal separation ( r min ). We first assessed the model performance by fixing the cosmological parameters and evaluating the goodness of fit provided by the perturbative bias expansion in the joint analysis of the two statistics, finding an overall agreement with the data down to separations of 20 h −1 Mpc. Subsequently, we built on the state-of-the-art analysis and extended it to include the dependence on three cosmological parameters: the amplitude of scalar perturbations ( A s ), the matter density ( ω cdm ), and the Hubble parameter ( h ). To achieve this goal, we developed an emulator capable of generating fast and robust modelling predictions for the two summary statistics, which thus enables an efficient sampling of the joint likelihood function. We therefore present the first joint full-shape analysis of the real-space 2PCF and 3PCF, testing the consistency and constraining power of the perturbative model across both probes and assessing its performance in a combined likelihood framework. We explored possible systematic uncertainties induced by the perturbative model at small scales, finding an optimal scale cut of r min = 30 h −1 Mpc for the 3PCF when imposing an additional limitation on the nearly isosceles triangular configurations included in the data vector. This work is part of a series of papers in which we validate theoretical models for galaxy clustering measurements in preparation for the Euclid mission.
Authors 81
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Brera Astronomical Observatory · Istituto Nazionale di Fisica Nucleare, Sezione di Genova · University of Genoa · National Institute for Astrophysics
Affiliation as printed
Dipartimento di Fisica, Università di Genova
INAF-Osservatorio Astronomico di Brera
INFN-Sezione di Genova
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Affiliation as printed
Universität Bonn, Argelander-Institut für Astronomie
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Osservatorio di Astrofisica e Scienza dello Spazio · National Institute for Astrophysics · University of Bologna
Affiliation as printed
Dipartimento di Fisica e Astronomia, Università di Bologna
INAF-Osservatorio di Astrofisica e Scienza dello Spazio di Bologna
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Trieste Astronomical Observatory · Istituto Nazionale di Fisica Nucleare, Sezione di Trieste · Institute for Fundamental Physics of the Universe · National Institute for Astrophysics
Affiliation as printed
IFPU, Institute for Fundamental Physics of the Universe
INAF-Osservatorio Astronomico di Trieste
INFN, Sezione di Trieste
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Affiliation as printed
Universität Bonn, Argelander-Institut für Astronomie
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Brera Astronomical Observatory · Istituto Nazionale di Fisica Nucleare, Sezione di Genova · University of Genoa · National Institute for Astrophysics
Affiliation as printed
Dipartimento di Fisica, Università di Genova
INAF-Osservatorio Astronomico di Brera
INFN-Sezione di Genova
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Centre National de la Recherche Scientifique · Institute of Space Sciences · Université Paris Cité · Commissariat à l'Énergie Atomique et aux Énergies Alternatives · Université Paris Sciences et Lettres · Université Paris-Saclay · Observatoire de Paris · Astrophysique, Instrumentation et Modélisation · Laboratoire Univers et Théories
Affiliation as printed
Institute of Space Sciences (ICE, CSIC), Campus UAB
Laboratoire Univers et Théorie, Observatoire de Paris, Université PSL, Université Paris Cité, CNRS
Université Paris-Saclay, Université Paris Cité, CEA, CNRS, AIM
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Institute of Space Sciences · Scuola Internazionale Superiore di Studi Avanzati · Trieste Astronomical Observatory · Institut d'Estudis Espacials de Catalunya · Institute for Fundamental Physics of the Universe · National Institute for Astrophysics · Universitat Politècnica de Catalunya
Affiliation as printed
IFPU, Institute for Fundamental Physics of the Universe
INAF-Osservatorio Astronomico di Trieste
Institut d’Estudis Espacials de Catalunya (IEEC), Edifici RDIT, Campus UPC
Institute of Space Sciences (ICE, CSIC), Campus UAB
SISSA, International School for Advanced Studies
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Institute of Space Sciences · Institut d'Estudis Espacials de Catalunya · Universitat Politècnica de Catalunya
Affiliation as printed
Institut d’Estudis Espacials de Catalunya (IEEC), Edifici RDIT, Campus UPC
Institute of Space Sciences (ICE, CSIC), Campus UAB
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Centre National de la Recherche Scientifique · Aix-Marseille Université
Affiliation as printed
Aix-Marseille Université, CNRS, CNES, LAM
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Technion – Israel Institute of Technology
Affiliation as printed
Technion Israel Institute of Technology
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Affiliation as printed
Universität Bonn, Argelander-Institut für Astronomie
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Centre National de la Recherche Scientifique · Université de Toulon · University of Milan · Aix-Marseille Université · Centre de Physique Théorique
Affiliation as printed
Aix-Marseille Université, CNRS, CNES, LAM
Aix-Marseille Université, Université de Toulon, CNRS, CPT
Dipartimento di Fisica “Aldo Pontremoli”, Università degli Studi di Milano
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Istituto Nazionale di Fisica Nucleare, Gruppo Collegato di Parma
Affiliation as printed
INFN Gruppo Collegato di Parma
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Centre National de la Recherche Scientifique · Laboratoire d'Annecy de Physique Théorique · Université Savoie Mont Blanc
Affiliation as printed
Laboratoire d’Annecy-le-Vieux de Physique Theorique, CNRS & Universite Savoie Mont Blanc
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Scuola Internazionale Superiore di Studi Avanzati · Trieste Astronomical Observatory · Istituto Nazionale di Fisica Nucleare, Sezione di Trieste · Institute for Fundamental Physics of the Universe · Fondazione ICSC Centro Nazionale di Ricerca in High Performance Computing, Big Data e Quantum Computing · National Institute for Astrophysics
Affiliation as printed
ICSC – Centro Nazionale di Ricerca in High Performance Computing, Big Data e Quantum Computing
IFPU, Institute for Fundamental Physics of the Universe
INAF-Osservatorio Astronomico di Trieste
INFN, Sezione di Trieste
SISSA, International School for Advanced Studies
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Istituto Nazionale di Fisica Nucleare, Gruppo Collegato di Parma
Affiliation as printed
INFN Gruppo Collegato di Parma
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Scuola Internazionale Superiore di Studi Avanzati · Istituto Nazionale di Fisica Nucleare, Sezione di Trieste · Fondazione ICSC Centro Nazionale di Ricerca in High Performance Computing, Big Data e Quantum Computing
Affiliation as printed
ICSC – Centro Nazionale di Ricerca in High Performance Computing, Big Data e Quantum Computing
INFN, Sezione di Trieste
SISSA, International School for Advanced Studies
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Affiliation as printed
School of Mathematics and Physics, University of Surrey
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Brera Astronomical Observatory · National Institute for Astrophysics
Affiliation as printed
INAF-Osservatorio Astronomico di Brera
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Osservatorio di Astrofisica e Scienza dello Spazio · National Institute for Astrophysics
Affiliation as printed
INAF-Osservatorio di Astrofisica e Scienza dello Spazio di Bologna
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Scuola Internazionale Superiore di Studi Avanzati · Trieste Astronomical Observatory · Istituto Nazionale di Fisica Nucleare, Sezione di Trieste · Institute for Fundamental Physics of the Universe · National Institute for Astrophysics
Affiliation as printed
IFPU, Institute for Fundamental Physics of the Universe
INAF-Osservatorio Astronomico di Trieste
INFN, Sezione di Trieste
SISSA, International School for Advanced Studies
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Centre National d'Études Spatiales
Affiliation as printed
Centre National d’Etudes Spatiales – Centre spatial de Toulouse
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Istituto Nazionale di Fisica Nucleare, Sezione di Bologna · Osservatorio di Astrofisica e Scienza dello Spazio · National Institute for Astrophysics · University of Bologna
Affiliation as printed
Dipartimento di Fisica e Astronomia, Università di Bologna
INAF-Osservatorio di Astrofisica e Scienza dello Spazio di Bologna
INFN-Sezione di Bologna
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Osservatorio di Astrofisica e Scienza dello Spazio · National Institute for Astrophysics
Affiliation as printed
INAF-Osservatorio di Astrofisica e Scienza dello Spazio di Bologna
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Trieste Astronomical Observatory · Institute for Fundamental Physics of the Universe · National Institute for Astrophysics
Affiliation as printed
IFPU, Institute for Fundamental Physics of the Universe
INAF-Osservatorio Astronomico di Trieste
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Astronomical Observatory of Capodimonte · University of Naples Federico II · National Institute for Astrophysics
Affiliation as printed
Department of Physics “E. Pancini”, University Federico II
INAF-Osservatorio Astronomico di Capodimonte
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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
INAF-Osservatorio Astrofisico di Torino
INFN-Sezione di Torino
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Osservatorio Astrofisico di Torino · National Institute for Astrophysics
Affiliation as printed
INAF-Osservatorio Astrofisico di Torino
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Universitat Autònoma de Barcelona · Port d'Informació Científica · Centro de Investigaciones Energéticas, Medioambientales y Tecnológicas
Affiliation as printed
Centro de Investigaciones Energéticas, Medioambientales y Tecnológicas (CIEMAT)
Port d’Informació Científica, Campus UAB
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Osservatorio di Astrofisica e Scienza dello Spazio · National Institute for Astrophysics
Affiliation as printed
INAF-Osservatorio di Astrofisica e Scienza dello Spazio di Bologna
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University of Hawaiʻi at Mānoa · University of Hawaii System
Affiliation as printed
Institute for Astronomy, University of Hawaii
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Affiliation as printed
Dipartimento di Fisica e Astronomia “Augusto Righi” – Alma Mater Studiorum Università di Bologna
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Instituto de Astrofísica de Canarias
Affiliation as printed
Instituto de Astrofísica de Canarias
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Royal Observatory · University of Edinburgh
Affiliation as printed
Institute for Astronomy, University of Edinburgh, Royal Observatory
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European Space Agency · European Space Astronomy Centre · European Space Research Institute
Affiliation as printed
ESAC/ESA
European Space Agency/ESRIN
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University of Lisbon · Institute of Astrophysics and Space Sciences
Affiliation as printed
Departamento de Física, Faculdade de Ciências, Universidade de Lisboa
Instituto de Astrofísica e Ciências do Espaço, Faculdade de Ciências, Universidade de Lisboa
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Affiliation as printed
Department of Astronomy, University of Geneva
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Trieste Astronomical Observatory · National Institute for Astrophysics
Affiliation as printed
INAF-Osservatorio Astronomico di Trieste
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Centre National de la Recherche Scientifique · Université Paris-Saclay · Institut d'Astrophysique Spatiale
Affiliation as printed
Université Paris-Saclay, CNRS, Institut d’astrophysique spatiale
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Centre National de la Recherche Scientifique · Université Paris-Saclay · Institut d'Astrophysique Spatiale
Affiliation as printed
Université Paris-Saclay, CNRS, Institut d’astrophysique spatiale
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Affiliation as printed
Department of Astronomy, University of Geneva
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European Space Agency · European Space Astronomy Centre
Affiliation as printed
ESAC/ESA
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Istituto Nazionale di Fisica Nucleare · Istituto Nazionale di Fisica Nucleare, Sezione di Padova
Affiliation as printed
INFN-Padova
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Institute for Space Astrophysics and Planetology · National Institute for Astrophysics
Affiliation as printed
INAF-Istituto di Astrofisica e Planetologia Spaziali
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Osservatorio di Astrofisica e Scienza dello Spazio · National Institute for Astrophysics
Affiliation as printed
INAF-Osservatorio di Astrofisica e Scienza dello Spazio di Bologna
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Astronomical Observatory of Rome · Agenzia Spaziale Italiana · National Institute for Astrophysics
Affiliation as printed
INAF-Osservatorio Astronomico di Roma
Space Science Data Center, Italian Space Agency
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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
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Istituto Nazionale di Fisica Nucleare, Sezione di Bologna · Osservatorio di Astrofisica e Scienza dello Spazio · National Institute for Astrophysics
Affiliation as printed
INAF-Osservatorio di Astrofisica e Scienza dello Spazio di Bologna
INFN-Bologna
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Institute of Space Sciences · Institut d'Estudis Espacials de Catalunya · Universitat Politècnica de Catalunya
Affiliation as printed
Institut d’Estudis Espacials de Catalunya (IEEC), Edifici RDIT, Campus UPC
Institute of Space Sciences (ICE, CSIC), Campus UAB
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Affiliation as printed
School of Physics, HH Wills Physics Laboratory, University of Bristol
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Osservatorio di Astrofisica e Scienza dello Spazio · National Institute for Astrophysics
Affiliation as printed
INAF-Osservatorio di Astrofisica e Scienza dello Spazio di Bologna
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National Institute for Astrophysics
Affiliation as printed
INAF-IASF Milano
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Trieste Astronomical Observatory · National Institute for Astrophysics
Affiliation as printed
INAF-Osservatorio Astronomico di Trieste
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Royal Observatory · University of Edinburgh
Affiliation as printed
Institute for Astronomy, University of Edinburgh, Royal Observatory
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Istituto Nazionale di Fisica Nucleare, Sezione di Bologna · Osservatorio di Astrofisica e Scienza dello Spazio · National Institute for Astrophysics
Affiliation as printed
INAF-Osservatorio di Astrofisica e Scienza dello Spazio di Bologna
INFN-Sezione di Bologna
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Max Planck Institute for Extraterrestrial Physics
Affiliation as printed
Max Planck Institute for Extraterrestrial Physics
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Max Planck Institute for Extraterrestrial Physics · Ludwig-Maximilians-Universität München
Affiliation as printed
Max Planck Institute for Extraterrestrial Physics
Universitäts-Sternwarte München, Fakultät für Physik, Ludwig-Maximilians-Universität München
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University of Milan · Brera Astronomical Observatory · Istituto Nazionale di Fisica Nucleare, Sezione di Milano · National Institute for Astrophysics
Affiliation as printed
Dipartimento di Fisica “Aldo Pontremoli”, Università degli Studi di Milano
INAF-Osservatorio Astronomico di Brera
INFN-Sezione di Milano
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Affiliation as printed
Jet Propulsion Laboratory, California Institute of Technology
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Technical University of Denmark
Affiliation as printed
Cosmic Dawn Center (DAWN)
Technical University of Denmark
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Max Planck Institute for Astronomy
Affiliation as printed
Max-Planck-Institut für Astronomie
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Affiliation as printed
NASA Goddard Space Flight Center
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Affiliation as printed
Department of Physics and Astronomy, University College London
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Affiliation as printed
Department of Physics and Helsinki Institute of Physics
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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
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Affiliation as printed
Jet Propulsion Laboratory, California Institute of Technology
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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
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Ludwig-Maximilians-Universität München
Affiliation as printed
Universitäts-Sternwarte München, Fakultät für Physik, Ludwig-Maximilians-Universität München
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Affiliation as printed
Université de Genève, Département de Physique Théorique and Centre for Astroparticle Physics
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Affiliation as printed
Department of Physics
Helsinki Institute of Physics
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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
Affiliation as printed
Laboratoire d’etude de l’Univers et des phenomenes eXtremes, Observatoire de Paris, Université PSL, Sorbonne Université, CNRS
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Osservatorio Astrofisico di Torino · National Institute for Astrophysics
Affiliation as printed
INAF-Osservatorio Astrofisico di Torino
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Affiliation as printed
Department of Physics
Helsinki Institute of Physics
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Affiliation as printed
SKA Observatory
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Centre National de la Recherche Scientifique · Centre de Calcul de l’Institut National de Physique Nucléaire et de Physique des Particules
Affiliation as printed
Centre de Calcul de l’IN2P3/CNRS
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University of Milan · Istituto Nazionale di Fisica Nucleare, Sezione di Milano · National Institute for Astrophysics
Affiliation as printed
Dipartimento di Fisica “Aldo Pontremoli”, Università degli Studi di Milano
INAF-IASF Milano
INFN-Sezione di Milano
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Osservatorio di Astrofisica e Scienza dello Spazio · National Institute for Astrophysics
Affiliation as printed
INAF-Osservatorio di Astrofisica e Scienza dello Spazio di Bologna
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Trieste Astronomical Observatory · National Institute for Astrophysics
Affiliation as printed
INAF-Osservatorio Astronomico di Trieste
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FHNW University of Applied Sciences and Arts Northwestern Switzerland
Affiliation as printed
University of Applied Sciences and Arts of Northwestern Switzerland, School of Computer Science
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Affiliation as printed
Universität Bonn, Argelander-Institut für Astronomie
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