Semi-analytical global search algorithm for fuel-optimal satellite formation reconfiguration: Impulsive-thrust approach

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2 Citations (Scopus)

Abstract

This paper addresses the optimal impulsive control problem of the coplanar formation reconfiguration in a near-circular orbit using impulsive-thrust. This paper introduces a semi-analytical approach of primer vector analysis. For three or four-impulse transfers, semi-analytical solutions of optimal primer vector histories are derived from the necessary conditions of local optimality. The semi-analytical approach is different from the conventional heuristic primer vector analysis in that it utilizes the semi-analytical solutions of optimal primer vector histories. This approach reduces the number of unknown transfer parameters because the necessary conditions of optimality are already satisfied. If the solution exists, boundary conditions determine remaining unknown transfer parameters for given optimal primer vector history. Based on the semi-analytical approach, a global search algorithm has been developed to find global optimal solutions. Various simulations demonstrate that the semi-analytical global search algorithm discovers global optimal solutions satisfying the well-known Lawden's necessary conditions. Moreover, it is found that two different approximate solutions satisfy Lawden's necessary conditions.

Original languageEnglish
Title of host publicationAstrodynamics 2013 - Advances in the Astronautical Sciences
Subtitle of host publicationProceedings of the AAS/AIAA Astrodynamics Specialist Conference
PublisherUnivelt Inc.
Pages1357-1375
Number of pages19
ISBN (Print)9780877036050
Publication statusPublished - 2014 Jan 1
Event2013 AAS/AIAA Astrodynamics Specialist Conference, Astrodynamics 2013 - Hilton Head Island, SC, United States
Duration: 2013 Aug 112013 Aug 15

Publication series

NameAdvances in the Astronautical Sciences
Volume150
ISSN (Print)0065-3438

Other

Other2013 AAS/AIAA Astrodynamics Specialist Conference, Astrodynamics 2013
CountryUnited States
CityHilton Head Island, SC
Period13/8/1113/8/15

All Science Journal Classification (ASJC) codes

  • Aerospace Engineering
  • Space and Planetary Science

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    Kim, Y., Park, S. Y., & Park, C. (2014). Semi-analytical global search algorithm for fuel-optimal satellite formation reconfiguration: Impulsive-thrust approach. In Astrodynamics 2013 - Advances in the Astronautical Sciences: Proceedings of the AAS/AIAA Astrodynamics Specialist Conference (pp. 1357-1375). (Advances in the Astronautical Sciences; Vol. 150). Univelt Inc..