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Long-Time Predictions of Satellite Orbits by Numerical Integration

  • José M. Ferrándiz
  • M. Eugenia Sansaturio
  • Jesús Vigo
Part of the NATO ASI Series book series (NSSB, volume 272)

Abstract

In this paper we aim at establishing limits of predictability to find the extension of time for which meaningful analytical and/or numerical predictions can be made in orbital behaviour of artificial satellites. These limits depend, of course, on the accuracy required, on the specific dynamical models formulated, on the sets of variables chosen to describe them, on the numerical or analytical techniques used and, especially, on the specific trajectories to be established. In order to check the reliability of the predictions, first integrals, constraints among redundant variables and backwards integrations from the ending point to the initial conditions have been used.

Keywords

Position Error Artificial Satellite Kepler Problem Reference Orbit True Anomaly 
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.

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References

  1. Ferrándiz, J. M., 1988, A General Canonical Transformation Increasing the Number of Variables with Application to the Two-Body Problem, Celest. Mech., 41:343.ADSGoogle Scholar
  2. Ferrándiz, J. M. and Sansaturio, M. E., 1990,Elemento de tiempo en variables de Ferrándiz, Actas XIV Jornadas Hispano- Lusas de Matematicas, Junio 1989, Vol. 111:1231.Google Scholar
  3. Ferrándiz, J. M., Sansaturio, M. E. and Pojman, J., 1990, Increased Accuracy of Computations in the Main Satellite Problem through Linearization Methods, Celest. Mech., (In press).Google Scholar
  4. Stiefel, E. and Scheifele, G., 1971, "Linear and Regular Celestial Mechanics", Springer- Verlag, Berlin.MATHGoogle Scholar

Copyright information

© Plenum Press, New York 1991

Authors and Affiliations

  • José M. Ferrándiz
    • 1
  • M. Eugenia Sansaturio
    • 1
  • Jesús Vigo
    • 1
  1. 1.Departamento de Matemática Aplicada a la Ingeniería E.T.S. de Ingenieros IndustrialesUniversidad de ValladolidValladolidSpain

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