By using Von Zeipel's generating function procedure the perturbing earth gravitational potential is averaged with respect to the fast variable (mean anomaly) and a set of 'fictitous' mean orbital elements which can be used as a long-term satellite orbit predictor is obtained. The set of elements is shown to be a function of the nonlinear square of the second zonal harmonic coefficient. It is found that the long-term orbit prediction using the 'fictitous' mean elements is as accurate as that using the osculating elements, but has a computing speed about two orders of magnitude faster. For short-term orbit predictions, the osculating elements approach must be used.
An accurate and efficient satellite long-term orbit predictor employing 'fictitious' mean orbital elements
AIAA/AAS Astrodynamics Conference ; 1988 ; Minneapolis, MN, United States
1988-01-01
Conference paper
No indication
English
Mean Orbital Elements Estimation for Autonomous Satellite Guidance and Orbit Control
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|LOP - Long-Term Orbit Predictor
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