Analytical solution to optimal relocation of satellite formation flying in arbitrary elliptic orbits

Han Cheol Cho, Sang-Young Park, Sung Moon Yoo, Kyu Hong Choi

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

4 Citations (Scopus)

Abstract

The current paper presents and examines a general analytical solution to the optimal reconfiguration problem of satellite formation flying in an arbitrary eccentric orbit. The proposed approach does not use any simplifying assumptions regarding the eccentricity of the reference orbit. For the fuel optimal reconfiguration problem, continuous and variable low-thrust accelerations can be represented by the Fourier series and summed into closed-form solutions. Initial and final boundary conditions are used to establish the constraints on the thrust functions. The analytical solution can be implicated by the Fourier coefficients that minimize propellant usage during the maneuver. This analytical solution is very useful for designing a reconfiguration controller for satellite formation flying in a general elliptical orbit.

Original languageEnglish
Title of host publicationAmerican Astronautical Society - Space Flight Mechanics 2007 - Advances in the Astronautical Sciences, Proceedings of the AAS/AIAA Space Flight Mechanics Meeting
Pages153-179
Number of pages27
Publication statusPublished - 2007 Dec 1
Event17th Annual Space Flight Mechanics Meeting - Sedona, AZ, United States
Duration: 2007 Jan 282007 Feb 1

Publication series

NameAdvances in the Astronautical Sciences
Volume127 PART 1
ISSN (Print)0065-3438

Other

Other17th Annual Space Flight Mechanics Meeting
CountryUnited States
CitySedona, AZ
Period07/1/2807/2/1

Fingerprint

formation flying
relocation
Relocation
variable thrust
Orbits
thrust
Satellites
low thrust
orbits
elliptical orbits
eccentric orbits
Fourier series
propellants
maneuvers
eccentricity
controllers
boundary condition
boundary conditions
Propellants
coefficients

All Science Journal Classification (ASJC) codes

  • Aerospace Engineering
  • Space and Planetary Science

Cite this

Cho, H. C., Park, S-Y., Yoo, S. M., & Choi, K. H. (2007). Analytical solution to optimal relocation of satellite formation flying in arbitrary elliptic orbits. In American Astronautical Society - Space Flight Mechanics 2007 - Advances in the Astronautical Sciences, Proceedings of the AAS/AIAA Space Flight Mechanics Meeting (pp. 153-179). (Advances in the Astronautical Sciences; Vol. 127 PART 1).
Cho, Han Cheol ; Park, Sang-Young ; Yoo, Sung Moon ; Choi, Kyu Hong. / Analytical solution to optimal relocation of satellite formation flying in arbitrary elliptic orbits. American Astronautical Society - Space Flight Mechanics 2007 - Advances in the Astronautical Sciences, Proceedings of the AAS/AIAA Space Flight Mechanics Meeting. 2007. pp. 153-179 (Advances in the Astronautical Sciences).
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abstract = "The current paper presents and examines a general analytical solution to the optimal reconfiguration problem of satellite formation flying in an arbitrary eccentric orbit. The proposed approach does not use any simplifying assumptions regarding the eccentricity of the reference orbit. For the fuel optimal reconfiguration problem, continuous and variable low-thrust accelerations can be represented by the Fourier series and summed into closed-form solutions. Initial and final boundary conditions are used to establish the constraints on the thrust functions. The analytical solution can be implicated by the Fourier coefficients that minimize propellant usage during the maneuver. This analytical solution is very useful for designing a reconfiguration controller for satellite formation flying in a general elliptical orbit.",
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Cho, HC, Park, S-Y, Yoo, SM & Choi, KH 2007, Analytical solution to optimal relocation of satellite formation flying in arbitrary elliptic orbits. in American Astronautical Society - Space Flight Mechanics 2007 - Advances in the Astronautical Sciences, Proceedings of the AAS/AIAA Space Flight Mechanics Meeting. Advances in the Astronautical Sciences, vol. 127 PART 1, pp. 153-179, 17th Annual Space Flight Mechanics Meeting, Sedona, AZ, United States, 07/1/28.

Analytical solution to optimal relocation of satellite formation flying in arbitrary elliptic orbits. / Cho, Han Cheol; Park, Sang-Young; Yoo, Sung Moon; Choi, Kyu Hong.

American Astronautical Society - Space Flight Mechanics 2007 - Advances in the Astronautical Sciences, Proceedings of the AAS/AIAA Space Flight Mechanics Meeting. 2007. p. 153-179 (Advances in the Astronautical Sciences; Vol. 127 PART 1).

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

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Cho HC, Park S-Y, Yoo SM, Choi KH. Analytical solution to optimal relocation of satellite formation flying in arbitrary elliptic orbits. In American Astronautical Society - Space Flight Mechanics 2007 - Advances in the Astronautical Sciences, Proceedings of the AAS/AIAA Space Flight Mechanics Meeting. 2007. p. 153-179. (Advances in the Astronautical Sciences).