Astronomy and Astrophysics – Astrophysics
Scientific paper
May 1987
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987ap%26ss.133..339a&link_type=abstract
Astrophysics and Space Science, Vol. 133, No. 2, p. 339 - 353
Astronomy and Astrophysics
Astrophysics
9
Artificial Satellites:Geopotential, Artificial Satellites:Orbit Theory, Geopotential:Artificial Satellites, Orbit Theory:Artificial Satellites
Scientific paper
Economical and stable recurrence formulae for the Earth's zonal potential and its gradient for the KS regularized theory are established for any number N of the zonal harmonic coefficient. A general recursive computational algorithm based on these formulae is also established for the initial value problem of the KS theory for the prediction of artificial satellites in the Earth's gravitational field with axial symmetry. Applications of the algorithm for the problem of the final state prediction are illustrated by numerical examples of three test orbits each for two geopotential models corresponding to N = 2 and N = 36. A final state of any desired accuracy is obtained for each case study, a result which shows the flexibility of the algorithm.
Adel Sharaf Mohamed
Banaja Mona A.
El-Sayed Awad M.
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