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<i>Euclid</i> preparation

William L. MatthewsonKorea Astronomy and Space Science InstituteRuth DurrerUniversité de Genève, Département de Physique Théorique and Centre for Astroparticle PhysicsS. CameraDipartimento di Fisica, Università degli Studi di TorinoI. TutusausInstitut de Recherche en Astrophysique et Planétologie (IRAP), Université de Toulouse, CNRS, UPS, CNESB. AltieriESAC/ESA, Camino Bajo del CastilloA. AmaraSchool of Mathematics and Physics, University of Surrey, GuildfordS. AndreonINAF-Osservatorio Astronomico di BreraN AuricchioINAF-Osservatorio di Astrofisica e Scienza dello Spazio di BolognaC. BaccigalupiIFPU, Institute for Fundamental Physics of the UniverseMarco BaldiDipartimento di Fisica e Astronomia, Università di BolognaS BardelliINAF-Osservatorio di Astrofisica e Scienza dello Spazio di BolognaP. BattagliaINAF-Osservatorio di Astrofisica e Scienza dello Spazio di BolognaA BivianoIFPU, Institute for Fundamental Physics of the UniverseE BranchiniDipartimento di Fisica, Università di GenovaM BresciaDepartment of Physics “E. Pancini”, University Federico IIG Cañas-HerreraEuropean Space Agency/ESTECV CapobiancoINAF-Osservatorio Astrofisico di TorinoC. CarboneINAF-IASF MilanoV. F. CardoneINAF-Osservatorio Astronomico di RomaJ. CarreteroCentro de Investigaciones Energéticas, Medioambientales y Tecnológicas (CIEMAT)Santiago CasasInstitute for Theoretical Particle Physics and Cosmology (TTK), RWTH Aachen UniversityM. CastellanoINAF-Osservatorio Astronomico di RomaG. CastignaniINAF-Osservatorio di Astrofisica e Scienza dello Spazio di BolognaS. CavuotiINAF-Osservatorio Astronomico di CapodimonteK. C. ChambersInstitute for Astronomy, University of HawaiiA. CimattiDipartimento di Fisica e Astronomia “Augusto Righi” – Alma Mater Studiorum Università di BolognaC. Colodro-CondeInstituto de Astrofísica de CanariasG. CongedoInstitute for Astronomy, University of Edinburgh, Royal ObservatoryChristopher J. ConseliceJodrell Bank Centre for Astrophysics, Department of Physics and Astronomy, University of ManchesterL. ConversiESAC/ESA, Camino Bajo del CastilloY. CopinUniversité Claude Bernard Lyon 1, CNRS/IN2P3, IP2I Lyon, UMR 5822F. CourbinInstitució Catalana de Recerca i Estudis Avançats (ICREA)H. M. CourtoisUCB Lyon 1, CNRS/IN2P3, IUF, IP2I LyonA. Da SilvaDepartamento de Física, Faculdade de Ciências, Universidade de Lisboa, Edifício C8, Campo GrandeH. DegaudenziDepartment of Astronomy, University of GenevaG de LuciaINAF-Osservatorio Astronomico di TriesteH. DoleUniversité Paris-Saclay, CNRS, Institut d’astrophysique spatialeF DubathDepartment of Astronomy, University of GenevaC. A. J. DuncanInstitute for Astronomy, University of Edinburgh, Royal ObservatoryX. DupacESAC/ESA, Camino Bajo del CastilloS DusiniINFN-PadovaS. EscoffierAix-Marseille Université, CNRS/IN2P3, CPPMM. FarinaINAF-Istituto di Astrofisica e Planetologia SpazialiF. FaustiniINAF-Osservatorio Astronomico di RomaS. FerriolUniversité Claude Bernard Lyon 1, CNRS/IN2P3, IP2I Lyon, UMR 5822F FinelliINAF-Osservatorio di Astrofisica e Scienza dello Spazio di BolognaM. FrailisINAF-Osservatorio Astronomico di TriesteE. FranceschiINAF-Osservatorio di Astrofisica e Scienza dello Spazio di BolognaM FumanaINAF-IASF MilanoS. GaleottaINAF-Osservatorio Astronomico di TriesteK. M. GeorgeUniversity Observatory, LMU Faculty of PhysicsB GillisInstitute for Astronomy, University of Edinburgh, Royal ObservatoryC GiocoliINAF-Osservatorio di Astrofisica e Scienza dello Spazio di BolognaJ. Gracia-CarpioMax Planck Institute for Extraterrestrial PhysicsA GrazianINAF-Osservatorio Astronomico di PadovaFrank GruppMax Planck Institute for Extraterrestrial PhysicsS. V. H. HauganInstitute of Theoretical Astrophysics, University of OsloW. N. HolmesJet Propulsion Laboratory, California Institute of TechnologyF. HormuthFelix Hormuth EngineeringA. HornstrupCosmic Dawn Center (DAWN)K. JahnkęMax-Planck-Institut für AstronomieM. JhabvalaNASA Goddard Space Flight CenterB. JoachimiDepartment of Physics and Astronomy, University College LondonE. KeihänenS. KermicheAix-Marseille Université, CNRS/IN2P3, CPPMA KiesslingJet Propulsion Laboratory, California Institute of TechnologyB. KubikUniversité Claude Bernard Lyon 1, CNRS/IN2P3, IP2I Lyon, UMR 5822M KunzUniversité de Genève, Département de Physique Théorique and Centre for Astroparticle PhysicsH. Kurki‐SuonioDepartment of PhysicsA. M. C. Le BrunLaboratoire d’etude de l’Univers et des phenomenes eXtremes, Observatoire de Paris, Université PSL, Sorbonne Université, CNRSS. LigoriINAF-Osservatorio Astrofisico di TorinoP. B. LiljeInstitute of Theoretical Astrophysics, University of OsloV. LindholmDepartment of PhysicsI. LloroSKAO, Jodrell Bank, Lower WithingtonG. MainettiCentre de Calcul de l’IN2P3/CNRSD MainoDipartimento di Fisica “Aldo Pontremoli”, Università degli Studi di MilanoE. MaioranoINAF-Osservatorio di Astrofisica e Scienza dello Spazio di BolognaO MansuttiINAF-Osservatorio Astronomico di TriesteS. MarcinUniversity of Applied Sciences and Arts of Northwestern Switzerland, School of Computer ScienceO. MarggrafUniversität Bonn, Argelander-Institut für AstronomieM. MartinelliINAF-Osservatorio Astronomico di RomaN. MartinetAix-Marseille Université, CNRS, CNES, LAMF. MarulliDipartimento di Fisica e Astronomia “Augusto Righi” – Alma Mater Studiorum Università di BolognaR. MasseyE. MedinaceliINAF-Osservatorio di Astrofisica e Scienza dello Spazio di BolognaS. MeiCNRS-UCB International Research Laboratory, Centre Pierre Binétruy, IRL2007Y MellierInstitut d’Astrophysique de ParisM. MeneghettiINAF-Osservatorio di Astrofisica e Scienza dello Spazio di BolognaE MerlinINAF-Osservatorio Astronomico di RomaG. MeylanInstitute of Physics, Laboratory of Astrophysics, Ecole Polytechnique Fédérale de Lausanne (EPFL)A MoraTelespazio UK S.L. for European Space Agency (ESA), Camino bajo del Castillo, s/n, Urbanizacion Villafranca del CastilloM. MorescoDipartimento di Fisica e Astronomia “Augusto Righi” – Alma Mater Studiorum Università di BolognaB. MorinUniversité Paris-Saclay, Université Paris Cité, CEA, CNRS, AIML. MoscardiniDipartimento di Fisica e Astronomia “Augusto Righi” – Alma Mater Studiorum Università di BolognaC. NeissnerInstitut de Física d’Altes Energies (IFAE), The Barcelona Institute of Science and Technology, Campus UABS.-M. NiemiEuropean Space Agency/ESTECCarmencita D. PadillaInstitut de Física d’Altes Energies (IFAE), The Barcelona Institute of Science and Technology, Campus UABS. PaltaniDepartment of Astronomy, University of GenevaF. PasianINAF-Osservatorio Astronomico di TriesteK. PedersenDARK, Niels Bohr Institute, University of Copenhagen
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Аннотация

We compared the performance of the flat-sky approximation and Limber approximation for the clustering analysis of the photometric galaxy catalogue of Euclid . We studied a 6-bin configuration, representing the first data release (DR1), and a 13-bin configuration, representing the third and final data release (DR3). We find that the Limber approximation is sufficiently accurate for the analysis of the wide bins of DR1. Instead, the 13 bins of DR3 cannot be modelled accurately with the Limber approximation. Instead, the flat-sky approximation is accurate to below 5% in recovering the angular power spectra of galaxy number counts in both cases and can be used to simplify the computation of the full power spectrum in harmonic space for the data analysis of DR3.

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