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Coordinated orbit transfer for satellite clusters.

Fumin Zhang1, P S Krishnaprasad

  • 1Institute for Systems Research and Department of Electrical and Computer Engineering, University of Maryland at College Park, College Park, MA 20742, USA.

Annals of the New York Academy of Sciences
|June 29, 2004
PubMed
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This study introduces a new control law for satellite formations to perform orbit transfers while maintaining or adjusting their configuration. The method ensures the stability of the formation in new orbits.

Area of Science:

  • Spacecraft dynamics and control
  • Astrodynamics
  • Formation flying

Background:

  • Satellite formations require precise control for orbital maneuvers.
  • Existing single-satellite control laws need adaptation for multi-satellite systems.
  • Maintaining formation integrity during orbit transfers is a significant challenge.

Purpose of the Study:

  • To develop a control law for satellite formations to achieve orbit transfer.
  • To enable the maintenance or modification of formation geometry during the transfer.
  • To ensure the stability of the formation in the target orbit.

Main Methods:

  • Extension of the Chang, Chichka, and Marsden single-satellite orbit transfer control law.
  • Inclusion of coupling terms in the Lyapunov function summation for multiple satellites.

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  • These coupling terms are based on the difference in mean anomalies or perigee passage times between formation members.

    • Main Results:

    • A novel control law for satellite formation orbit transfer is proposed.
    • The control law allows for maintaining or modifying the formation during the maneuver.
    • Asymptotic stability of the desired formation in the target orbit is mathematically proven.

    Conclusions:

    • The proposed control law effectively manages satellite formation orbit transfers.
    • The method guarantees formation stability in both initial and final orbits.
    • This research advances the capabilities of coordinated satellite operations.