doi:10.2514/1.G001598engAvendaño, M.Martín-Molina, V.Martin Morales, JorgeOrtigas-Galindo, J.An algebraic approach to the minimum-cost multi-impulse orbit transfer problemART-2016-108325A 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).2016http://zaguan.unizar.es/record/7572610.2514/1.G001598http://zaguan.unizar.es/record/75726oai:zaguan.unizar.es:75726info:eu-repo/grantAgreement/ES/DGA/E15info:eu-repo/grantAgreement/ES/MICINN/MTM2013-45710-C2-1-Pinfo:eu-repo/grantAgreement/ES/MINECO/MTM2011-22621info:eu-repo/grantAgreement/ES/MINECO/MTM2014-52197-Pinfo:eu-repo/grantAgreement/ES/MINECO/2013-44217-Rinfo:eu-repo/grantAgreement/ES/UZ/CUD2013-15JOURNAL OF GUIDANCE CONTROL AND DYNAMICS 39, 8 (2016), 1734-1743All rights reservedhttp://www.europeana.eu/rights/rr-f/info:eu-repo/semantics/openAccess