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  • Further Applications of the Smallest Loss Criterion in the Multiobjective Optimization of a Satellite Constellation

    Paper number

    IAC-05-C1.7.09

    Author

    Dr. Evandro Marconi Rocco, Instituto Nacional de Pesquisas Espaciais (INPE), Brazil

    Coauthor

    Dr. Marcelo Lopes de Oliveira e Souza, Instituto Nacional de Pesquisas Espaciais (INPE), Brazil

    Coauthor

    Dr. Antonio Prado, National Institute for Space Research, Brazil

    Year

    2005

    Abstract
    The problem of the orbital maintenance of a satellite constellation can be defined as a multi-objective problem. In the orbital maintenance many parameters must be considered to determine the maneuvers to be applied. It can be desired to minimize simultaneously, the fuel consumption, the time spent in the maneuvers and the positioning error. However, those objectives, generally, are conflicting. When one of them is optimized the others, are not, necessarily. Other parameters beyond those can be considered, turning the problem even more complex. If the n satellites of the constellation will be considered, must be taken into account the problem of simultaneous optimization of the maneuvers for the n satellites. In this case, it is practically impossible to determine the optimal solution that minimizes all the objectives simultaneously. Therefore, in this work the multi-objective optimization methodology presented in Rocco et al. (2003) was used to define a maneuver strategy to be applied in a satellite constellation, in way to reduce the fuel consumption, the time spent in the maneuvers and the positioning error for the entire constellation. This methodology, called the Smallest Loss Criterion, can consider n conflicting objectives simultaneously without reducing the problem to an optimization of only one objective, as it occurs with most of the methods found in the literature. The Smallest Loss Criterion was compared with other existent methods and it was verified that it is capable to supply better results to the problem of the orbital maintenance of satellite constellations. In this work, some applications of the Smallest Loss Criterion, presented in Rocco et al. (2003) are reproduced but now considering a different constellation and controlling the satellites during a long period of time. Furthermore, some improvements of the multi-objective methodology are proposed, in way to improve the application of the Smallest Loss Criterion in multi-objective problems.
    
    
    *Rocco, E.M.; Souza, M.L.O.; Prado, A.F.B.A. Multi-Objective Optimization Applied to Satellite Constellations I: Formulation of the Smallest Loss Criterion. IAC 2003 54st International Astronautical Congress. Bremen, Germany, September 29 - October 3, 2003.
    Abstract document

    IAC-05-C1.7.09.pdf

    Manuscript document

    IAC-05-C1.7.09.pdf (🔒 authorized access only).

    To get the manuscript, please contact IAF Secretariat.