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R. H. Gooding, “A Second-Order Satellite Orbit Theory, with Compact Results in Cylindrical Coordinates,” Philosophical Transactions of the Royal Society, Vol. 299, No. 1451, 1981, pp. 425-474.

has been cited by the following article:

• TITLE: Short-Term Orbit Prediction with J2 and Mean Orbital Elements

  AUTHORS: Shraddha Gupta, M. Xavier James Raj, R. K. Sharma

  KEYWORDS: Perturbation Due to J2, Mean Orbital Elements, Short-Periodic Terms, Osculating Orbital Elements, Fourth Power in Eccentricit

  JOURNAL NAME: International Journal of Astronomy and Astrophysics, Vol.1 No.3, September 27, 2011

  ABSTRACT: An analytical theory for calculating perturbations of the orbital elements of a satellite due to J2 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.