Tests of the Extrapolation Method for the Numerical Integration of the Keplerian Motion

  • Toshio Fukushima
Conference paper


Two extrapolation methods (Gragg’s method and GBS method) were tested for the numerical integration of the Keplerian motion. The tests cleared that the Gragg’s method is better for the orbit computation and is 1) easy to control, 2) highly accurate, 3) tough, 4) economic, and 5) very flexible against the close encounter.


Extrapolation Method Integration Rule Close Encounter Keplerian Orbit Keplerian Motion 
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.


  1. Bulirsch, R. and Stoer, J. (1966) Numerische Mathematik 8, 1.MathSciNetzbMATHCrossRefGoogle Scholar
  2. Gear, C.W. (1971) Numerical Initial Value Problems in Ordinary Differential Equations, Prentice-Hall, Inc., New Jersy.zbMATHGoogle Scholar
  3. Gragg, W.B. (1965) SIAM J. Numer. Anal. Ser.B, 2, 384.MathSciNetADSGoogle Scholar

Copyright information

© Kluwer Academic Publishers 1989

Authors and Affiliations

  • Toshio Fukushima
    • 1
  1. 1.Satellite Geodesy OfficeHydrographie DepartmentChuo-ku, TokyoJapan

Personalised recommendations