An analytical singularity-free orbit predictor for near-Earth satellites

Computer Science

Scientific paper

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Earth Orbits, Orbit Calculation, Prediction Analysis Techniques, Spacecraft Orbits, Aerodynamic Drag, Computer Systems Programs, Periodic Functions, Poincare Spheres, Radiation Pressure, Satellite Perturbation, Solar Activity Effects, Zonal Harmonics

Scientific paper

A completely analytical, first order satellite theory intended for low Earth orbits is presented. Perturbations are unified under the nonsingular Poincare Similar element formulation. The theory includes: short period, long period and secular effects of J2 and all higher zonal harmonics; secular and quadratic effects of atmospheric drag; and the average mean motion considering all harmonics of the geopotential. Recursive equations are used instead of explicit formulas. In the drag theory, the density model accounts for not only changes in altitude, but also the important effects of the Sun and its location. The theory is implemented in an operational computer program.

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