Skip to main content
SpringerLink
Log in

An optimization technique for the transient response of passively stable satellites

  • Contributed Papers
  • Published:
Journal of Optimization Theory and Applications Aims and scope Submit manuscript

Abstract

The principal result of this paper is an analytical technique for optimizing the transient response characteristics for a class of passively stabilized satellites in the presence of practical design parameter constraints. The technique developed is directed at linearized models and is treated in detail only for quartic characteristic equations. The results, even for the special case treated, are sufficiently broad to provide a generalization of some techniques which have appeared in the literature. Briefly, it is shown that certain coalescent root configuration represent a hierarchy of transient optima, and conditions are derived which give the optimum transient characteristics as functions of the available variable system parameters.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Zajac, E.,Damping of a Gravitationally Oriented Two-Body Satellite, Journal of the American Rocket Society, Vol. 32, No. 12, 1962.

  2. Fletcher, H., Rongved, L., andYu, E. Y.,Dynamic Analysis of a Two-Body Gravitationally Oriented Satellite, Bell System Technical Journal, Vol. 42, No. 5, 1962.

  3. Etkin, B.,Dynamics of Gravity Oriented Orbiting Systems with Application to Passive Stabilization, AIAA Journal, Vol. 2, No. 6, 1963.

  4. Tinling, B., andMerrick, V.,Exploitation of Inertial Coupling in Passive Gravity Gradient Stabilized Satellites, Journal of Spacecraft and Rockets, Vol. 1, No. 4, 1964.

  5. Delisle, J.,Quarterly Summary Report for USAF Contract AF04(647)-769, MIT Instrumentation Laboratory, Reports Nos. R-357A, B, C, D, 1962.

  6. Scott, E. D.,Control Moment Gyro Gravity Stabilization, AIAA Guidance and Control Conference, Cambridge, Massachusetts, 1963.

  7. Totah, N.,Design, Development, and Fabrication of a Precession Damper, Final Report, Philco-Ford Report No. WDL-TR2419, 1965.

  8. Borrelli, R., andLeliakov, I.,Optimization Criteria for a Class of Non-Linear Systems, International Journal of Nonlinear Mechanics, Vol. 5, 1970.

  9. Borrelli, R., andLeliakov, I.,Optimum Transient Damping for a Gravity-Gradient Satellite, AIAA Journal (to appear).

  10. Zajac, E.,Bounds on the Decay Rate of Damped Linear Systems, Quarterly of Applied Mathematics, Vol. 20, No. 4, 1962.

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, Harvey Mudd College, Claremont, California

    R. L. Borrelli (Associate Professor)

  2. Western Development Laboratory, Philco-Ford Corporation, Palo Alto, California

    I. P. Leliakov (Senior Engineering Specialist)

Authors
  1. R. L. Borrelli
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. I. P. Leliakov
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Communicated by L. V. Breakwell

Rights and permissions

Reprints and permissions

About this article

Cite this article

Borrelli, R.L., Leliakov, I.P. An optimization technique for the transient response of passively stable satellites. J Optim Theory Appl 10, 344–361 (1972). https://doi.org/10.1007/BF00935399

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00935399

Keywords

Search

Navigation