Construction of Seminumerical Schemes: Application to the Artificial Satellite Problem

  • Authors:
  • Roberto Barrio

  • Affiliations:
  • -

  • Venue:
  • NAA '00 Revised Papers from the Second International Conference on Numerical Analysis and Its Applications
  • Year:
  • 2000

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Abstract

In this paper we study the combination of averaging theories and the numerical integration of the averaged equations by means of Chebyshev series methods, that permits to obtain the numerical solution as a short Chebyshev series. The proposed scheme is applied to the artificial satellite problem.