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International Journal of Aerospace Engineering
Volume 2017 (2017), Article ID 6396032, 15 pages
https://doi.org/10.1155/2017/6396032
Research Article

A Novel Double Cluster and Principal Component Analysis-Based Optimization Method for the Orbit Design of Earth Observation Satellites

1School of Astronautics, Beihang University, Beijing 100191, China
2Department of Satellite Application System, North China Institute of Computing Technology, Beijing 100191, China
3Institute of Manned Space System Engineering, China Academy of Space Technology, Beijing 100094, China

Correspondence should be addressed to Fengrui Liu

Received 23 December 2016; Revised 6 April 2017; Accepted 12 April 2017; Published 9 May 2017

Academic Editor: Christian Circi

Copyright © 2017 Yunfeng Dong et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

The weighted sum and genetic algorithm-based hybrid method (WSGA-based HM), which has been applied to multiobjective orbit optimizations, is negatively influenced by human factors through the artificial choice of the weight coefficients in weighted sum method and the slow convergence of GA. To address these two problems, a cluster and principal component analysis-based optimization method (CPC-based OM) is proposed, in which many candidate orbits are gradually randomly generated until the optimal orbit is obtained using a data mining method, that is, cluster analysis based on principal components. Then, the second cluster analysis of the orbital elements is introduced into CPC-based OM to improve the convergence, developing a novel double cluster and principal component analysis-based optimization method (DCPC-based OM). In DCPC-based OM, the cluster analysis based on principal components has the advantage of reducing the human influences, and the cluster analysis based on six orbital elements can reduce the search space to effectively accelerate convergence. The test results from a multiobjective numerical benchmark function and the orbit design results of an Earth observation satellite show that DCPC-based OM converges more efficiently than WSGA-based HM. And DCPC-based OM, to some degree, reduces the influence of human factors presented in WSGA-based HM.