Skip to main content
SpringerLink
Log in

Investigation of the Time of Ballistic Existence for Elliptic Orbits Evolving under the Influence of Gravitational Perturbations of External Bodies

  • Published:
Cosmic Research Aims and scope Submit manuscript

Abstract

A comparative analysis of the time of ballistic existence for different elliptic orbits evolving under the influence of gravitational perturbations of external bodies is performed. For this purpose, the solution of a satellite variant of the restricted circular double-averaged three-body problem obtained by M.L. Lidov [1] is used. The use of a geometrical interpretation of Lidov's solutions has allowed us to create a visualized tool for a choice of evolving satellite orbits with a long time of ballistic existence.

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. Lidov, M.L., Orbit Evolution for Artificial Satellites of Planets under the Action of Gravitational Perturbations of External Bodies, Iskusstvennye sputniki Zemli, 1961, no. 8, p. 5.

  2. Moiseev, N.D., Certain Basic Simplified Schemes of Celestial Mechanics Derived by Averaging the Restricted Circular Three-Point Problem, Trudy GAISh, 1945, vol. 15, part 1, p. 100.

    Google Scholar 

  3. Gordeeva, Yu.F., Time Behavior of Elements in Long-Periodic Oscillation in the Restricted Three-Body Problem, Kosm. Issled., 1968, vol. 6, no. 4, p. 536.

    Google Scholar 

  4. Prokhorenko, V.I., A Geometric Study of Solutions to Restricted Circular Double-Averaged Three-Body Problem, Kosm. Issled., 2001, vol. 39, no. 6, pp. 622–633.

    Google Scholar 

  5. Prokhorenko, V.I., Investigation of Periods of Evolution for Elliptical Orbits in the Double-Averaged Hill Problem, Kosm. Issled., 2002, vol. 40, no. 1, p. 48.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Space Research Institute, Russian Academy of Sciences, Profsoyuznaya ul. 84/32, Moscow, 117997, Russia

    V. I. Prokhorenko

Authors
  1. V. I. Prokhorenko
    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

Prokhorenko, V.I. Investigation of the Time of Ballistic Existence for Elliptic Orbits Evolving under the Influence of Gravitational Perturbations of External Bodies. Cosmic Research 40, 264–273 (2002). https://doi.org/10.1023/A:1015929121296

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1015929121296

Keywords

Search

Navigation