Statistics – Computation
Scientific paper
Aug 1988
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988em%26p...42..115s&link_type=abstract
Earth, Moon, and Planets (ISSN 0167-9295), vol. 42, Aug. 1988, p. 115-131.
Statistics
Computation
2
Eccentric Orbits, Elliptical Orbits, Fourier Analysis, Orbit Perturbation, Spherical Harmonics, Celestial Mechanics, Computational Astrophysics, Potential Fields
Scientific paper
Literal analytical expressions for the Fourier expansion of the earth's spherical harmonic potential have been obtained in terms of the sectorial variables proposed by Sharaf (1982) to regularize the highly-oscillating perturbation force of some orbital systems. Kaula's (1966) formula for the conversion of the earth's spherical harmonic potential to Keplerian elements and the mean anomaly are used to study the geopotential perturbation in satellite dynamics. It is pointed out that the series expansions of the present sectorial variables converge very rapidly for any eccentricity of elliptic orbits.
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