Study of the low-order Delta nu-(rho)over-bar relation for moderately rotating delta Scuti stars and its impact on their characterization

The authors acknowledge funding support from Spanish public funds (including FEDER funds) for research under projects ESP2017-87676-C5-2-R, ESP2017-87676-C5-5-R, and PID2019107061GB-C64. Julio E. Rodriguez-Mart ' in also acknowledges financial support from the State Agency for Research of the Spanish Ministerio de Ciencia, Innovacion y Universidades through the 'Center of Excellence Severo Ochoa' award to the Instituto de Astrof ' isica de Andalucia-Consejo Superior de Investigaciones Cient ' ificas (SEV2017-0709). Antonio Garcia Hernandez also acknowledges support from `Fondo Europeo de Desarrollo Regional/Junta de AndaluciaConsejeria de Economia y Conocimiento' under project E-FQM041-UGR18 by Universidad de Granada. Juan Carlos Suarez also acknowledges support from project RYC-2012-09913 under the 'Ramon y Cajal' programme of the Spanish Ministry of Science and Education. This work has made use of data from the European Space Agency (ESA) mission Gaia (https://www.cosmos.e sa.int/gaia), processed by the Gaia Data Processing and Analysis Consortium (DPAC; https://www.cosmos.esa.int/web/gaia/dpac/con sortium). Funding for the DPAC has been provided by national institutions, in particular the institutions participating in the Gaia Multilateral Agreement.