Mathematics
Scientific paper
May 1994
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994adspr..14e..79a&link_type=abstract
Advances in Space Research (ISSN 0273-1177), vol. 14, no. 5, p. (5)79-(5)82
Mathematics
Aerodynamic Coefficients, Atmospheric Models, Earth Orbits, Free Flow, Molecular Flow, Orbit Calculation, Orbit Perturbation, Orbital Elements, Satellite Orbits, Space Debris, Mathematical Models, Riccati Equation, Statistical Analysis
Scientific paper
Typical space debris are irregular in shape, therefore in addition to the atmospheric drag, the perturbations due to the aerodynamic lift and the orthogonal forces are playing role as well. The equations for the averaged orbital elements, including these general atmospheric perturbations, were derived and solved as an expansion in small eccentricity. This solution is useful as a fast prediction of the debris propagation boundaries. The mechanism of the debris spread due to the distribution of the aerodynamic coefficients, was examined as well. A statistical model for the uncertainties in the debris location was developed, and an approximated solution for the Ricatti equation was obtained. The debris aerodynamic coefficients were evaluated by applying the free molecular flow theory.
Ashenberg Joshua
Broucke Roger A.
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