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Short-Term Orbit Prediction with J<sub>2</sub> and Mean Orbital Elements
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International Journal of Astronomy and Astrophysics·Volume 01 (2011)·Pages 135–146·Published 27 September 2011·DOI10.4236/ijaa.2011.13018
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Abstract
An analytical theory for calculating perturbations of the orbital elements of a satellite due to J<sub>2</sub> to accuracy up to fourth power in eccentricity is developed. It is observed that there is significant improvement in all the orbital elements with the present theory over second-order theory. The theory is used for computing the mean orbital elements, which are found to be more accurate than provided by Bhatnagar and taqvi’s theory (up to second power in eccentricity). Mean elements have a large number of practical applications.
KeywordsPerturbation Due to J<sub>2</sub>Mean Orbital ElementsShort-Periodic TermsOsculating Orbital ElementsFourth Power in Eccentricit
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