Download PDF

Celestial mechanics

, Volume 30, Issue 4, pp 363–371 | Cite as

An analytic solution for theJ2 perturbed equatorial orbit

  • D. J. Jezewski
Article
Received:
Accepted:

Abstract

An analytic solution for theJ2 perturbed equatorial orbit is obtained in terms of elliptic functions and integrals. The necessary equations for computing the position and velocity vectors, and the time are given in terms of known functions. The perturbed periapsis and apoapsis distances are determined from the roots of a characteristic cubic.

Keywords

Velocity Vector Elliptic Function Equatorial Orbit 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
Download to read the full article text

References

  1. Battin, R. H.: 1964,Astronautical Guidance, McGraw-Hill, New York.Google Scholar
  2. Brouwer, D.: 1959,Astron. J. 64, (1274), 378–397.Google Scholar
  3. Byrd, P. F. and Friedman, M. D.: 1971,Handbook of Elliptic Integrals for Engineers and Scientists, Springer-Verlag, New York.Google Scholar
  4. Cohen, C. J. and Lyddane, R. H.: 1981,Celest. Mech. 25, 221.Google Scholar
  5. Jezewski, D. J.: 1983,Celest. Mech. 30, 343 (this issue).Google Scholar
  6. Lyddane, R. H.: 1963,Astron. J. 68, 555.Google Scholar
  7. O'Mathuna, D.: 1970,Celest. Mech. 1, 467.Google Scholar
  8. Ramnath, R.: 1973,Celest. Mech. 8, 85.Google Scholar
  9. Sterne, T. E.: 1957,Astron. J. 63, (1255), 28–40.Google Scholar
  10. Vinti, J. P.: 1961,J. Res. NBS 65B (Math. Phys.), 169.Google Scholar
  11. Vinti, J. P.: 1962,J. Res. NBS 66B (Math. Phys.), 5.Google Scholar
  12. Whittaker, E. T.: 1944,A Treatise on the Analytical Dynamics of Particles and Rigid Bodies, Cambridge University Press, 80 pp.Google Scholar

Copyright information

© D. Reidel Publishing Company 1983

Authors and Affiliations

  • D. J. Jezewski
    • 1
  1. 1.Lyndon B. Johnson Space CenterNASAHoustonUSA

Personalised recommendations