Skip to main content
SpringerLink
Log in

An analytical iterative algorithm for the prediction of special satellite orbit points with the Brouwer orbit theory

  • Published:
Celestial mechanics Aims and scope Submit manuscript

Abstract

Employing a direct recursive algorithm in relation with analytical theories will yield a considerable saving in computer time, as opposed to simulating a point by point integration through repeated evaluations of the orbit theory. As a case in point, we shall compute the set of osculating orbiting elements corresponding to special events within the revolution of an artificial satellite.

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

  • Aksnes, K.: 1970, ‘A Second-Order Artificial Satellite Theory Based on An Intermediate Orbit’,Astron. J. 75, 1066.

    Google Scholar 

  • Brouwer, D.: 1959, ‘Solution of the Problem of Artificial Satellite Theory Without Drag’,Astron. J. 64, 378.

    Google Scholar 

  • Henrici, P.: 1965,Elements of Numerical Analysis, John Wiley and Sons, Inc., New York, London, Sydney, p. 61.

    Google Scholar 

  • Kozai, Y.: 1959, ‘The Motion of a Close Earth Satellite’,Astron. J. 64, 367.

    Google Scholar 

  • Walter, H. G.: 1967, ‘Conversion of Osculating Orbital Elements into Mean Elements’,Astron. J. 72, 994.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. NASA/Goddard Space Flight Center, 20771, Greenbelt, Md., USA

    Robert A. Gordon

Authors
  1. Robert A. Gordon
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Gordon, R.A. An analytical iterative algorithm for the prediction of special satellite orbit points with the Brouwer orbit theory. Celestial Mechanics 7, 280–290 (1973). https://doi.org/10.1007/BF01229952

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01229952

Keywords

Search

Navigation