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)
You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use. You may not use the material for commercial purposes. If you remix, transform, or build upon the material, you may not distribute the modified material.
Exportado de SIDERAL (2023-05-18-13:34:03)
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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)
You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use. You may not use the material for commercial purposes. If you remix, transform, or build upon the material, you may not distribute the modified material. Exportado de SIDERAL (2023-05-18-13:34:03)
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Este artículo se encuentra en las siguientes colecciones:
Articles > Artículos por área > Física de la Tierra
Articles > Artículos por área > Matemática Aplicada
Record created 2021-12-01, last modified 2023-05-19