An algebraic approach to the minimum-cost multi-impulse orbit transfer problem

Avendaño, M. ; Martín-Molina, V. ; Martin Morales, Jorge ; Ortigas-Galindo, J. (Universidad de Zaragoza)

Resumen: A purely algebraic formulation (i.e., polynomial equations only) of the minimum-cost multi-impulse orbit-transfer problem without time constraints is presented, while keeping all the variables with a precise physical meaning. General algebraic techniques are applied to solve these equations (resultants, Gröbner bases, etc.) in several situations of practical interest of different degrees of generality. For instance, a proof of the optimality of the Hohmann transfer for the minimum-fuel two-impulse circular-to-circular orbit-transfer problem is provided. Finally, a general formula is also provided for the optimal two-impulse in-plane transfer between two rotated elliptical orbits under a mild symmetry assumption on the two points where the impulses are applied (which, it is conjectured, can be removed).

Idioma: Inglés

DOI: 10.2514/1.G001598

Año: 2016

Publicado en: JOURNAL OF GUIDANCE CONTROL AND DYNAMICS 39, 8 (2016), 1734-1743
ISSN: 0731-5090

Factor impacto JCR: 1.856 (2016)

Categ. JCR: ENGINEERING, AEROSPACE rank: 5 / 31 = 0.161 (2016) - Q1 - T1
Categ. JCR: INSTRUMENTS & INSTRUMENTATION rank: 22 / 58 = 0.379 (2016) - Q2 - T2

Factor impacto SCIMAGO: 1.181 - Aerospace Engineering (Q1) - Applied Mathematics (Q1) - Control and Systems Engineering (Q1) - Electrical and Electronic Engineering (Q1) - Space and Planetary Science (Q2)

Financiación: info:eu-repo/grantAgreement/ES/DGA/E15
Financiación: info:eu-repo/grantAgreement/ES/MICINN/MTM2013-45710-C2-1-P
Financiación: info:eu-repo/grantAgreement/ES/MINECO/MTM2011-22621
Financiación: info:eu-repo/grantAgreement/ES/MINECO/MTM2014-52197-P
Financiación: info:eu-repo/grantAgreement/ES/MINECO/2013-44217-R
Financiación: info:eu-repo/grantAgreement/ES/UZ/CUD2013-15

Tipo y forma: Artículo (PrePrint)

Área (Departamento): Área Análisis Matemático (Dpto. Matemáticas)