Spherical coordinates perturbations for small eccentricity orbits

Details Spherical coordinates perturbations for small eccentricity orbits Spherical coordinates perturbations for small eccentricity orbits

Oct 1993

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993cemda..57q.406b&link_type=abstract

Celestial Mechanics and Dynamical Astronomy (ISSN 0923-2958), vol. 57, no. 1-2, p. 406

Astronomy and Astrophysics

Astronomy

1

Circular Orbits, Eccentric Orbits, Mathematical Models, Orbit Calculation, Orbit Perturbation, Satellite Orbits, Spherical Coordinates, Eccentricity, Fourier Series, Series Expansion

Scientific paper

The theory of perturbed circular orbital motion developed by Bois is extended to weakly eccentric orbits. Expressions for spherical coordinates are given as functions of amplitudes of the Fourier expansion of disturbing forces whatever their nature. The solution is nonsingular with respect to zero eccentricity and inclination. Numerical modeling of the equatorial artificial satellite orbits shows, that the internal accuracy of our first-order solution remains on the level of second-order effects for the eccentricity values lower than the small parameter of disturbing forces.

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