A New Mixed Iterative Algorithm to Solve the Fuel-Optimal Linear Impulsive Rendezvous Problem

D. Arzelier (), C. Louembet, A. Rondepierre and M. Kara-Zaitri
Additional contact information
D. Arzelier: CNRS, LAAS
C. Louembet: CNRS, LAAS
A. Rondepierre: IMT
M. Kara-Zaitri: CNRS, LAAS

Journal of Optimization Theory and Applications, 2013, vol. 159, issue 1, No 12, 210-230

Abstract: Abstract The optimal fuel impulsive time-fixed rendezvous problem is reviewed. In a linear setting, it may be reformulated as a non-convex polynomial optimization problem for a pre-specified fixed number of velocity increments. Relying on variational results previously published in the literature, an improved mixed iterative algorithm is defined to address the issue of optimization over the number of impulses. Revisiting the primer vector theory, it combines variational tests with sophisticated numerical tools from algebraic geometry to solve polynomial necessary and sufficient conditions of optimality. Numerical examples under circular and elliptic assumptions show that this algorithm is efficient and can be integrated into a rendezvous planning tool.

Keywords: Orbital rendezvous; Fuel optimal space trajectories; Primer vector theory; Impulsive maneuvers; Linear equations of motion (search for similar items in EconPapers)
Date: 2013
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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DOI: 10.1007/s10957-013-0282-z

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