Mathematics
Scientific paper
Nov 1976
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976cemec..14..335j&link_type=abstract
(Conference on Mathematical Methods in Celestial Mechanics, 5th, Oberwolfach, West Germany, Aug. 24-30, 1975.) Celestial Mechani
Mathematics
2
Aerodynamic Drag, Atmospheric Density, Kepler Laws, Orbital Elements, Satellite Perturbation, Anomalies, Eccentric Orbits, Gauss Equation, Independent Variables, Satellite Orbits
Scientific paper
This paper calls into question the validity of the well-known formulas for the perturbations in the Keplerian elements, over one revolution of an orbit, for the motion of a drag-perturbed artificial satellite. These formulas are derived from Gauss's form of the planetary equations by averaging over a single revolution of the orbit and using the eccentric anomaly as the independent variable. It is shown that for light balloon-type satellites in near-circular orbits, neither the eccentric anomaly nor the true longitude is a suitable choice of independent variable for the averaging procedure. Under these circumstances, it would seem that simple formulas for the variations in the elements cannot be derived from Gauss's equations.
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