On the integration of Cid''s radial intermediary

Abad, A. (Universidad de Zaragoza) ; Calvo, M. (Universidad de Zaragoza) ; Elipe, A. (Universidad de Zaragoza)

Resumen: 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.

Idioma: Inglés

DOI: 10.1016/j.actaastro.2020.11.025

Año: 2021

Publicado en: Acta Astronautica 179 (2021), 519-524
ISSN: 0094-5765

Factor impacto JCR: 2.954 (2021)

Categ. JCR: ENGINEERING, AEROSPACE rank: 6 / 34 = 0.176 (2021) - Q1 - T1

Factor impacto CITESCORE: 5.7 - Engineering (Q1)

Factor impacto SCIMAGO: 1.0 - Aerospace Engineering (Q1)

Financiación: info:eu-repo/grantAgreement/ES/DGA-FSE/E24-20R
Financiación: info:eu-repo/grantAgreement/ES/DGA-FSE/E41-20R
Financiación: info:eu-repo/grantAgreement/ES/MINECO/ESP2017-87113-R
Financiación: info:eu-repo/grantAgreement/ES/MINECO/MTM2016-77735-C3-1-P

Tipo y forma: Article (PostPrint)

Área (Departamento): Área Matemática Aplicada (Dpto. Matemática Aplicada)
Área (Departamento): Área Física de la Tierra (Dpto. Física Teórica)