Multi-step optimization strategy for fuel-optimal orbital transfer of low-thrust spacecraft. Issue 3 (3rd March 2016)

• Record Type: Journal Article
• Authors: Rasotto, M.; Armellin, R.; Di Lizia, P.
• Is Part Of: Engineering optimization. Volume 48:Issue 3(2016)
• Page Start: 519
• Page End: 542
• Publication Date: 2016-03-03
• Subjects: optimal control theory -- trajectory optimization -- low-thrust transfers -- hybrid optimization methods; Engineering design -- Periodicals; Mathematical optimization -- Periodicals; 620.0042
• DOI: 10.1080/0305215X.2015.1025773
• Languages: English
• ISSNs: 0305-215X

Abstract

Abstract : An effective method for the design of fuel-optimal transfers in two- and three-body dynamics is presented. The optimal control problem is formulated using calculus of variation and primer vector theory. This leads to a multi-point boundary value problem (MPBVP), characterized by complex inner constraints and a discontinuous thrust profile. The first issue is addressed by embedding the MPBVP in a parametric optimization problem, thus allowing a simplification of the set of transversality constraints. The second problem is solved by representing the discontinuous control function by a smooth function depending on a continuation parameter. The resulting trajectory optimization method can deal with different intermediate conditions, and no a priori knowledge of the control structure is required. Test cases in both the two- and three-body dynamics show the capability of the method in solving complex trajectory design problems.