Evolutionary Optimization of Multirendezvous Impulsive Trajectories
This paper investigates the use of evolutionary algorithms for the optimization of time-constrained impulsive multirendezvous missions. The aim is to find the minimum-ΔV trajectory that allows a chaser spacecraft to perform, in a prescribed mission time, a complete tour of a set of targets, such as...
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | International Journal of Aerospace Engineering |
| Online Access: | http://dx.doi.org/10.1155/2021/9921555 |
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| author | Lorenzo Federici Alessandro Zavoli Guido Colasurdo |
| author_facet | Lorenzo Federici Alessandro Zavoli Guido Colasurdo |
| author_sort | Lorenzo Federici |
| collection | DOAJ |
| description | This paper investigates the use of evolutionary algorithms for the optimization of time-constrained impulsive multirendezvous missions. The aim is to find the minimum-ΔV trajectory that allows a chaser spacecraft to perform, in a prescribed mission time, a complete tour of a set of targets, such as space debris or artificial satellites, which move on the same orbital plane at slightly different altitudes. For this purpose, a two-level design approach is pursued. First, an outer-level combinatorial problem is defined, dealing with the simultaneous optimization of the sequence of targets and the rendezvous epochs. The suggested approach is first tested by assuming that all transfer legs last exactly the same amount of time; then, the time domain is discretized over a finer grid, allowing a more appropriate sizing of the time window allocated for each leg. The outer-level problem is solved by an in-house genetic algorithm, which features an effective permutation-preserving solution encoding. A simple, but fairly accurate, heuristic, based on a suboptimal four-impulse analytic solution of the single-target rendezvous problem, is used when solving the combinatorial problem for a fast guess at the transfer cost, given the departure and arrival epochs. The outer-level problem solution is used to define an inner-level NLP problem, concerning the optimization of each body-to-body transfer leg. In this phase, the encounter times are further refined. The inner-level problem is tackled through an in-house multipopulation self-adaptive differential evolution algorithm. Numerical results for case studies including up to 20 targets with different time grids are presented. |
| format | Article |
| id | doaj-art-e5bad30fb59a4d0cb949d62ac4382d5a |
| institution | Kabale University |
| issn | 1687-5966 1687-5974 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Aerospace Engineering |
| spelling | doaj-art-e5bad30fb59a4d0cb949d62ac4382d5a2025-08-20T03:26:17ZengWileyInternational Journal of Aerospace Engineering1687-59661687-59742021-01-01202110.1155/2021/99215559921555Evolutionary Optimization of Multirendezvous Impulsive TrajectoriesLorenzo Federici0Alessandro Zavoli1Guido Colasurdo2Department of Mechanical and Aerospace Engineering, Sapienza University of Rome, Via Eudossiana 18, 00184 Rome, ItalyDepartment of Mechanical and Aerospace Engineering, Sapienza University of Rome, Via Eudossiana 18, 00184 Rome, ItalyDepartment of Mechanical and Aerospace Engineering, Sapienza University of Rome, Via Eudossiana 18, 00184 Rome, ItalyThis paper investigates the use of evolutionary algorithms for the optimization of time-constrained impulsive multirendezvous missions. The aim is to find the minimum-ΔV trajectory that allows a chaser spacecraft to perform, in a prescribed mission time, a complete tour of a set of targets, such as space debris or artificial satellites, which move on the same orbital plane at slightly different altitudes. For this purpose, a two-level design approach is pursued. First, an outer-level combinatorial problem is defined, dealing with the simultaneous optimization of the sequence of targets and the rendezvous epochs. The suggested approach is first tested by assuming that all transfer legs last exactly the same amount of time; then, the time domain is discretized over a finer grid, allowing a more appropriate sizing of the time window allocated for each leg. The outer-level problem is solved by an in-house genetic algorithm, which features an effective permutation-preserving solution encoding. A simple, but fairly accurate, heuristic, based on a suboptimal four-impulse analytic solution of the single-target rendezvous problem, is used when solving the combinatorial problem for a fast guess at the transfer cost, given the departure and arrival epochs. The outer-level problem solution is used to define an inner-level NLP problem, concerning the optimization of each body-to-body transfer leg. In this phase, the encounter times are further refined. The inner-level problem is tackled through an in-house multipopulation self-adaptive differential evolution algorithm. Numerical results for case studies including up to 20 targets with different time grids are presented.http://dx.doi.org/10.1155/2021/9921555 |
| spellingShingle | Lorenzo Federici Alessandro Zavoli Guido Colasurdo Evolutionary Optimization of Multirendezvous Impulsive Trajectories International Journal of Aerospace Engineering |
| title | Evolutionary Optimization of Multirendezvous Impulsive Trajectories |
| title_full | Evolutionary Optimization of Multirendezvous Impulsive Trajectories |
| title_fullStr | Evolutionary Optimization of Multirendezvous Impulsive Trajectories |
| title_full_unstemmed | Evolutionary Optimization of Multirendezvous Impulsive Trajectories |
| title_short | Evolutionary Optimization of Multirendezvous Impulsive Trajectories |
| title_sort | evolutionary optimization of multirendezvous impulsive trajectories |
| url | http://dx.doi.org/10.1155/2021/9921555 |
| work_keys_str_mv | AT lorenzofederici evolutionaryoptimizationofmultirendezvousimpulsivetrajectories AT alessandrozavoli evolutionaryoptimizationofmultirendezvousimpulsivetrajectories AT guidocolasurdo evolutionaryoptimizationofmultirendezvousimpulsivetrajectories |