108580 20230519145357.0 doi 10.1016/j.actaastro.2020.11.025 sideral 122364 ART-2021-122364 eng Abad, A. Universidad de Zaragoza (orcid)0000-0002-5692-5876 On the integration of Cid''s radial intermediary 2021 Access copy available to the general public Unrestricted This paper deals with the integrations of homogeneous quasi-Keplerian Hamiltonians, that is, perturbed Kepler Hamiltonians which perturbation is of the form SUM j=2 N Aj/rj with Aj constant. Although there are many applications of these Hamiltonians in Physics, Astronomy and Astrodynamics, we focus our interest on a particular case in the core of Artificial Satellite Theory, the Cid's radial intermediary. For this problem, we integrate the equations of motion in two different ways, by means of the elliptic P-Weierstrass function and by using the Krylov–Bogoliubov averaging method to integrate a perturbed harmonic oscillator. In this case, the resulting solution is given in terms of the classical Kepler's equation, with no need of introducing more complex generalized Kepler's equation. info:eu-repo/grantAgreement/ES/DGA-FSE/E24-20R info:eu-repo/grantAgreement/ES/DGA-FSE/E41-20R info:eu-repo/grantAgreement/ES/MINECO/ESP2017-87113-R info:eu-repo/grantAgreement/ES/MINECO/MTM2016-77735-C3-1-P info:eu-repo/semantics/openAccess by-nc-nd http://creativecommons.org/licenses/by-nc-nd/3.0/es/ 2.954 2021 ENGINEERING, AEROSPACE 6 / 34 = 0.176 2021 Q1 T1 1.0 2021 Aerospace Engineering 2021 Q1 5.7 2021 info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion Calvo, M. Universidad de Zaragoza (orcid)0000-0002-3312-5710 Elipe, A. Universidad de Zaragoza (orcid)0000-0001-5208-4494 2005 595 Universidad de Zaragoza Dpto. Matemática Aplicada Área Matemática Aplicada 2004 398 Universidad de Zaragoza Dpto. Física Teórica Área Física de la Tierra 179 (2021), 519-524 Acta astronaut. Acta Astronautica 0094-5765 296314 http://zaguan.unizar.es/record/108580/files/texto_completo.pdf Postprint 941836 http://zaguan.unizar.es/record/108580/files/texto_completo.jpg?subformat=icon icon Postprint oai:zaguan.unizar.es:108580 articulos driver 2023-05-18-13:34:03 ARTICLE