75726 20200221144242.0 doi 10.2514/1.G001598 sideral 108325 ART-2016-108325 eng (orcid)0000-0001-9744-5732 Avendaño, M. An algebraic approach to the minimum-cost multi-impulse orbit transfer problem 2016 Access copy available to the general public Unrestricted 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). info:eu-repo/grantAgreement/ES/DGA/E15 info:eu-repo/grantAgreement/ES/MICINN/MTM2013-45710-C2-1-P info:eu-repo/grantAgreement/ES/MINECO/MTM2011-22621 info:eu-repo/grantAgreement/ES/MINECO/MTM2014-52197-P info:eu-repo/grantAgreement/ES/MINECO/2013-44217-R info:eu-repo/grantAgreement/ES/UZ/CUD2013-15 info:eu-repo/semantics/openAccess All rights reserved http://www.europeana.eu/rights/rr-f/ 1.856 2016 ENGINEERING, AEROSPACE 5 / 31 = 0.161 2016 Q1 T1 INSTRUMENTS & INSTRUMENTATION 22 / 58 = 0.379 2016 Q2 T2 1.181 2016 Aerospace Engineering 2016 Q1 Applied Mathematics 2016 Q1 Control and Systems Engineering 2016 Q1 Electrical and Electronic Engineering 2016 Q1 Space and Planetary Science 2016 Q2 info:eu-repo/semantics/article info:eu-repo/semantics/submittedVersion (orcid)0000-0002-6359-5246 Martín-Molina, V. (orcid)0000-0002-6559-4722 Martin Morales, Jorge (orcid)0000-0002-6635-8780 Ortigas-Galindo, J. Universidad de Zaragoza 2006 015 Universidad de Zaragoza Dpto. Matemáticas Área Análisis Matemático 39, 8 (2016), 1734-1743 J. guid. control dyn. JOURNAL OF GUIDANCE CONTROL AND DYNAMICS 0731-5090 763868 http://zaguan.unizar.es/record/75726/files/texto_completo.pdf Preprint 88887 http://zaguan.unizar.es/record/75726/files/texto_completo.jpg?subformat=icon icon Preprint oai:zaguan.unizar.es:75726 articulos driver 2020-02-21-13:22:25 ARTICLE