Optimal continuous thrust orbit transfer using evolutionary algorithms

Jugo Igarashi, David B. Spencer

Research output: Chapter in Book/Report/Conference proceedingConference contribution

6 Scopus citations

Abstract

In order to calculate the time history of the trajectory properties for an optimal continuous-thrust orbit transfer, the equations of motion and adjoint equations are integrated. For optimality, boundary conditions on the Hamiltonian must be satisfied, subject to meeting the initial and final values of the state vectors. At the beginning of the integration, the initial co-state variables for the adjoint equations are needed. However, the initial costate variables are usually unknown and thus it is necessary to find these variables. In this paper, evolutionary algorithms (EAs) are introduced and applied to find the values of the initial costate variables. Results obtained from the EAs are compared with the results previously published, and it was found that for several low Earth orbit to geostationary Earth orbit transfers, the initial values of the adjoints are comparable to those found using traditional optimization methods. While many traditional optimization methods are very sensitive to initial values of the adjoint variables, the EAs are able to find the initial values of the adjoints from lower and upper bounds that are up to ±25% away from the actual values.

Original languageEnglish (US)
Title of host publicationCollection of Technical Papers - AIAA/AAS Astrodynamics Specialist Conference
Pages667-688
Number of pages22
StatePublished - Dec 1 2004
EventCollection of Technical Papers - AIAA/AAS Astrodynamics Specialist Conference - Providence, RI, United States
Duration: Aug 16 2004Aug 19 2004

Publication series

NameCollection of Technical Papers - AIAA/AAS Astrodynamics Specialist Conference
Volume2

Other

OtherCollection of Technical Papers - AIAA/AAS Astrodynamics Specialist Conference
CountryUnited States
CityProvidence, RI
Period8/16/048/19/04

All Science Journal Classification (ASJC) codes

  • Engineering(all)

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  • Cite this

    Igarashi, J., & Spencer, D. B. (2004). Optimal continuous thrust orbit transfer using evolutionary algorithms. In Collection of Technical Papers - AIAA/AAS Astrodynamics Specialist Conference (pp. 667-688). [AIAA-2004-5085] (Collection of Technical Papers - AIAA/AAS Astrodynamics Specialist Conference; Vol. 2).