Astronomy and Astrophysics – Astronomy
Scientific paper
Dec 1992
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992cemda..53..347f&link_type=abstract
Celestial Mechanics and Dynamical Astronomy (ISSN 0923-2958), vol. 53, no. 4, 1992, p. 347-363. Research supported by CICYT.
Astronomy and Astrophysics
Astronomy
5
Artificial Satellites, Linearization, Orbital Mechanics, Differential Equations, Orbital Elements, Perturbation Theory
Scientific paper
A set of canonical redundant variables is derived from Cartesian coordinates in a simplified form which allows the reduction of the Kepler problem to four harmonic oscillations with unit frequency. The coordinates are defined to be the direction cosines of the position of the particle along with the inverse of its distance. True anomaly is the new independent variable. The behavior of this transformation is studied when applied to the numerical integrations of the main problem in satellite theory. In particular, computation time and accuracy of orbits in these variables are compared with those in K-S and Cartesian variables. For high eccentricities the proposed variables require the least computation time for comparable accuracy regardless of the integration scheme.
Ferrandiz Jose-Manuel
Pojman Joseph R.
Sansaturio Maria-Eugenia
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