000108580 001__ 108580 000108580 005__ 20230519145357.0 000108580 0247_ $$2doi$$a10.1016/j.actaastro.2020.11.025 000108580 0248_ $$2sideral$$a122364 000108580 037__ $$aART-2021-122364 000108580 041__ $$aeng 000108580 100__ $$0(orcid)0000-0002-5692-5876$$aAbad, A.$$uUniversidad de Zaragoza 000108580 245__ $$aOn the integration of Cid''s radial intermediary 000108580 260__ $$c2021 000108580 5060_ $$aAccess copy available to the general public$$fUnrestricted 000108580 5203_ $$aThis 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. 000108580 536__ $$9info:eu-repo/grantAgreement/ES/DGA-FSE/E24-20R$$9info:eu-repo/grantAgreement/ES/DGA-FSE/E41-20R$$9info:eu-repo/grantAgreement/ES/MINECO/ESP2017-87113-R$$9info:eu-repo/grantAgreement/ES/MINECO/MTM2016-77735-C3-1-P 000108580 540__ $$9info:eu-repo/semantics/openAccess$$aby-nc-nd$$uhttp://creativecommons.org/licenses/by-nc-nd/3.0/es/ 000108580 590__ $$a2.954$$b2021 000108580 592__ $$a1.0$$b2021 000108580 594__ $$a5.7$$b2021 000108580 591__ $$aENGINEERING, AEROSPACE$$b6 / 34 = 0.176$$c2021$$dQ1$$eT1 000108580 593__ $$aAerospace Engineering$$c2021$$dQ1 000108580 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/acceptedVersion 000108580 700__ $$0(orcid)0000-0002-3312-5710$$aCalvo, M.$$uUniversidad de Zaragoza 000108580 700__ $$0(orcid)0000-0001-5208-4494$$aElipe, A.$$uUniversidad de Zaragoza 000108580 7102_ $$12005$$2595$$aUniversidad de Zaragoza$$bDpto. Matemática Aplicada$$cÁrea Matemática Aplicada 000108580 7102_ $$12004$$2398$$aUniversidad de Zaragoza$$bDpto. Física Teórica$$cÁrea Física de la Tierra 000108580 773__ $$g179 (2021), 519-524$$pActa astronaut.$$tActa Astronautica$$x0094-5765 000108580 8564_ $$s296314$$uhttps://zaguan.unizar.es/record/108580/files/texto_completo.pdf$$yPostprint 000108580 8564_ $$s941836$$uhttps://zaguan.unizar.es/record/108580/files/texto_completo.jpg?subformat=icon$$xicon$$yPostprint 000108580 909CO $$ooai:zaguan.unizar.es:108580$$particulos$$pdriver 000108580 951__ $$a2023-05-18-13:34:03 000108580 980__ $$aARTICLE