Dynamical adjustments in IAU 2000A nutation series arising from IAU 2006 precession

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Título: Dynamical adjustments in IAU 2000A nutation series arising from IAU 2006 precession
Autor/es: Escapa García, Luis Alberto | Getino, Juan | Ferrandiz, Jose M. | Baenas, Tomás
Grupo/s de investigación o GITE: Geodesia Espacial y Dinámica Espacial
Centro, Departamento o Servicio: Universidad de Alicante. Departamento de Matemática Aplicada
Palabras clave: Astrometry | Ephemerides | Reference systems | Methods: analytical | Celestial mechanics
Área/s de conocimiento: Matemática Aplicada
Fecha de publicación: 14-ago-2017
Editor: EDP Sciences
Cita bibliográfica: Astronomy & Astrophysics. 2017, 604: A92. doi:10.1051/0004-6361/201730490
Resumen: The adoption of International Astronomical Union (IAU) 2006 precession model, IAU 2006 precession, requires IAU 2000A nutation to be adjusted to ensure compatibility between both theories. This consists of adding small terms to some nutation amplitudes relevant at the microarcsecond level. Those contributions were derived in previously published articles and are incorporated into current astronomical standards. They are due to the estimation process of nutation amplitudes by Very Long Baseline Interferometry (VLBI) and to the changes induced by the J2 rate present in the precession theory. We focus on the second kind of those adjustments, and develop a simple model of the Earth nutation capable of determining all the changes arising in the theoretical construction of the nutation series in a dynamical consistent way. This entails the consideration of three main classes of effects: the J2 rate, the orbital coefficients rate, and the variations induced by the update of some IAU 2006 precession quantities. With this aim, we construct a first order model for the nutations of the angular momentum axis of the non-rigid Earth. Our treatment is based on a Hamiltonian formalism and leads to analytical formulae for the nutation amplitudes in the form of in-phase, out-of-phase, and mixed secular terms. They allow numerical evaluation of the contributions of the former effects. We conclude that the accepted corrections associated with the J2 rate must be supplemented with new, hitherto unconsidered terms of the same order of magnitude, and that these should be incorporated into present standards.
Patrocinador/es: This work has been partially supported by the Spanish projects I+D+I AYA2010-22039-C02-02 and AYA2016-79775-P (AEI/FEDER, UE).
URI: http://hdl.handle.net/10045/68787
ISSN: 0004-6361 (Print) | 1432-0746 (Online)
DOI: 10.1051/0004-6361/201730490
Idioma: eng
Tipo: info:eu-repo/semantics/article
Derechos: Open Access article, published by EDP Sciences, under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Revisión científica: si
Versión del editor: http://dx.doi.org/10.1051/0004-6361/201730490
Aparece en las colecciones:INV - GEDE - Artículos de Revistas

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