Skip to main content
SpringerLink
Log in

How critical is the critical inclination?

  • Published:
Celestial mechanics Aims and scope Submit manuscript

Abstract

It has been claimed that the representation of satellite motion in the vicinity of the critical inclination is a matter of practical, as well as theoretical interest, since “the perturbations in the coordinates are of the order of 25 times greater near the critical inclination than away from it” (Messageet al., 1962). In this paper we show, using Encke's method of numerical integration for satellites which are at, near, and away from the critical inclination, that there are no discernible features in the coordinate perturbations which distinguish the critical inclination from any other.

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

  • Brouwer, D.: 1959, ‘Solution of the Problem of Aritificial Satellite Theory Without Drag’,Astronom. J. 64, 378–397.

    Google Scholar 

  • Brouwer, D.: 1963, ‘Review of Celestial Mechanics’,Ann. Rev. Astron. Astrophys. 1, 219–234.

    Google Scholar 

  • Claus, A. J. and Lubowe, A. G.: 1963, ‘A High Accuracy Perturbation Method with Direct Application to Communication Satellite Orbit Prediction’,Astronaut. Acta.,IX, 275–301.

    Google Scholar 

  • Cook, A. H.: 1963, ‘The Contribution of Observations of Satellites to the Determination of the Earth's Gravitational Potential’,Space Sc. Rev. 2, 355–437.

    Google Scholar 

  • Garfinkel, B.: 1959, ‘The Orbit of a Satellite of an Oblate Planet’,Astronom. J. 64, 353–367.

    Google Scholar 

  • Garlinkel, B.: 1960, ‘On the Motion of a Satellite in the Vicinity of the Critical Inclination’,Astronom. J. 65, 624–627.

    Google Scholar 

  • Hori, G.: 1960, ‘The Motion of an Artificial Satellite in the Vicinity of the Critical Inclination’,Astronom. J. 65, 291–300.

    Google Scholar 

  • Kikuchi, S.: 1967, ‘Commensurability and Critical Inclination’,Astron. Nachr. 289, 241–245.

    Google Scholar 

  • Kozai, Y.: 1959, ‘The Motion of a Close Earth Satellite’,Astronom. J. 64, 367–377.

    Google Scholar 

  • Message, P. J., Hori, G., and Garfinkel, B.: 1962, ‘On the Critical Case in the Motion of an Artificial Satellite’,Observatory No. 929, pp. 168–170.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Bell Telephone Laboratories Inc., Whippany, N.J., USA

    Anthony G. Lubowe

Authors
  1. Anthony G. Lubowe
    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

Lubowe, A.G. How critical is the critical inclination?. Celestial Mechanics 1, 6–10 (1969). https://doi.org/10.1007/BF01230627

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01230627

Keywords

Search

Navigation