Time elements in rectangular coordinates

Details Time elements in rectangular coordinates Time elements in rectangular coordinates

Jul 1981

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981cemec..24..269k&link_type=abstract

Celestial Mechanics, vol. 24, July 1981, p. 269-287.

Statistics

Computation

1

Cartesian Coordinates, Kepler Laws, Orbital Elements, Orbital Mechanics, Satellite Orbits, Time Functions, Computer Techniques, Equations Of Motion, Independent Variables, Numerical Stability, Runge-Kutta Method, Satellite Perturbation

Scientific paper

In a paper by the second author (Nacozy, 1981), various time elements are presented for use with the Sundman time transformation. In that paper, the time elements are given in terms of Keplerian orbital elements. We give here the corresponding time elements in terms of rectangular coordinates. Extensive references are given in the previous paper and will be omitted here. We present additional numerical experiments comparing the use of time elements and time transformations together with the use of time transformations alone. The results indicate a reduction in computational error when time elements are used.

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