Constrained station relocation in geostationary equatorial orbit using a Legendre pseudospectral method

Seung Pil Kim, Robert Graham Melton

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

An algorithm for numerical approximation is formulated using a Legendre pseudospectral method to solve the problem of constrained station relocation, changing current position to another longitude,in geostationaryequatorial orbit. The problem was stated as a Bolza formin optimal control theory to calculate the control. A collision avoidance term, which is included in the objective function as an integral form and serves as a soft constraint, is considered during transferby specifyingamaximumorminimum radius, depending onwhether the transferisinthe eastor west direction. Several east-and-west-direction station relocation maneuvers are simulated; the states and control behavior are obtained and all the variables are found to be within feasible ranges. This method would be possible to implement using very-low-thrust engines, in particular, by employing attitude control thrusters.

Original languageEnglish (US)
Pages (from-to)711-719
Number of pages9
JournalJournal of Guidance, Control, and Dynamics
Volume38
Issue number4
DOIs
StatePublished - Apr 1 2015

Fingerprint

equatorial orbits
relocation
Pseudospectral Method
Relocation
Legendre
Orbits
stations
Orbit
collision avoidance
low thrust
Soft Constraints
Longitude
attitude control
control theory
Optimal Control Theory
Attitude Control
Integral form
Collision Avoidance
Attitude control
maneuvers

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Aerospace Engineering
  • Space and Planetary Science
  • Applied Mathematics
  • Electrical and Electronic Engineering

Cite this

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Constrained station relocation in geostationary equatorial orbit using a Legendre pseudospectral method. / Kim, Seung Pil; Melton, Robert Graham.

In: Journal of Guidance, Control, and Dynamics, Vol. 38, No. 4, 01.04.2015, p. 711-719.

Research output: Contribution to journalArticle

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