Statistics – Computation
Scientific paper
Aug 1988
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988em%26p...42..163s&link_type=abstract
Earth, Moon, and Planets (ISSN 0167-9295), vol. 42, Aug. 1988, p. 163-178.
Statistics
Computation
7
Canonical Forms, Orbit Calculation, Orbit Perturbation, Runge-Kutta Method, Zonal Harmonics, Artificial Satellites, Circular Orbits, Satellite Tracking
Scientific paper
Uniformly regular canonical Kustaanheimo-Stiefel (1965) elements with earth's oblateness are considered, and computations have been performed to investigate the effects of earth's zonal harmonics and integration step-size variation. The use of recursion formulas for Legendre polynomials allows any number of earth's zonal harmonics to be treated. Numerical integration of the canonical equations is performed via a fixed step-size fourth-order Runge-Kutta-Gill method. The present technique is used to examine the behavior of a 900-km-height near-circular sun-synchronous satellite orbit over a duration of greater than 220 days, along with the effect of higher zonal harmonics on three 990-km-height near-circular orbits with inclinations of 60, 63.2, and 65 degrees.
Krishan Sharma Ram
Raj Xavier James M.
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