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<i>Euclid</i> preparation

William L. MatthewsonUniversité de Genève, Département de Physique Théorique and Centre for Astroparticle PhysicsRuth DurrerUniversité de Genève, Département de Physique Théorique and Centre for Astroparticle PhysicsS. CameraINAF-Osservatorio Astrofisico 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. BaccigalupiINFN, Sezione di TriesteMarco BaldiINAF-Osservatorio di Astrofisica e Scienza dello Spazio di BolognaS BardelliINAF-Osservatorio di Astrofisica e Scienza dello Spazio di BolognaP. BattagliaINAF-Osservatorio di Astrofisica e Scienza dello Spazio di BolognaA BivianoINAF-Osservatorio Astronomico di TriesteE 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. CardoneINFN-Sezione di Roma, Piazzale Aldo MoroJ. 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. ConversiEuropean Space Agency/ESRINY. CopinUniversité Claude Bernard Lyon 1, CNRS/IN2P3, IP2I Lyon, UMR 5822F. CourbinInstitut de Ciències del Cosmos (ICCUB), Universitat de Barcelona (IEEC-UB)H. M. CourtoisCentre National de la Recherche ScientifiqueA. Da SilvaInstituto de Astrofísica e Ciências do Espaço, Faculdade de Ciências, Universidade de Lisboa, Campo GrandeH. DegaudenziDepartment of Astronomy, University of GenevaG de LuciaINAF-Osservatorio Astronomico di TriesteH. DoleUniversité Paris-SaclayF DubathDepartment of Astronomy, University of GenevaC. A. J. DuncanUniversity of EdinburghX. DupacESAC/ESA, Camino Bajo del CastilloS DusiniINFN-PadovaS. EscoffierAix-Marseille Université, CNRS/IN2P3, CPPMM. FarinaINAF-Istituto di Astrofisica e Planetologia SpazialiF. FaustiniUnited Kingdom Space AgencyS. FerriolCentre National de la Recherche ScientifiqueF FinelliINFN-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 GruppUniversitäts-Sternwarte München, Fakultät für Physik, Ludwig-Maximilians-Universität MünchenS. V. H. HauganInstitute of Theoretical Astrophysics, University of OsloW. N. HolmesJet Propulsion Laboratory, California Institute of TechnologyF. HormuthFelix Hormuth EngineeringA. HornstrupTechnical University of DenmarkK. 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. KubikCentre National de la Recherche ScientifiqueM KunzUniversité de Genève, Département de Physique Théorique and Centre for Astroparticle PhysicsH. Kurki‐SuonioDepartment of PhysicsA. M. C. Le BrunUniversité Paris Sciences et LettresS. LigoriINAF-Osservatorio Astrofisico di TorinoP. B. LiljeInstitute of Theoretical PhysicsV. LindholmDepartment of PhysicsI. LloroSKAO, Jodrell Bank, Lower WithingtonG. MainettiCentre de Calcul de l’IN2P3/CNRSD MainoINAF-IASF 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. MartinelliINFN-Sezione di Roma, Piazzale Aldo MoroN. 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. MeiInternational University of BeirutY MellierInstitut d’Astrophysique de Paris, UMR 7095, CNRS, and Sorbonne UniversitéM. MeneghettiINAF-Osservatorio di Astrofisica e Scienza dello Spazio di BolognaE MerlinNational Institute for AstrophysicsG. MeylanÉcole Polytechnique Fédérale de LausanneA 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 CitéL. MoscardiniINAF-Osservatorio di Astrofisica e Scienza dello Spazio di BolognaC. NeissnerInstitut de Física d’Altes Energies (IFAE), The Barcelona Institute of Science and Technology, Campus UABS.-M. NiemiEuropean Space Research and Technology CentreCarmencita 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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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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