Properties of Bessel Function Solution to Kepler’s Equation with Application to Opposition and Conjunction of Earth–Mars

@article{Ebaid2016PropertiesOB,
  title={Properties of Bessel Function Solution to Kepler’s Equation with Application to Opposition and Conjunction of Earth–Mars},
  author={Abdelhalim Ebaid and Ahmed B. Al-Blowy},
  journal={Zeitschrift f{\"u}r Naturforschung A},
  year={2016},
  volume={71},
  pages={457 - 464}
}
Abstract In this article, a simple approach is suggested to calculate the approximate dates of opposition and conjunction of Earth and Mars since their opposition on August 28, 2003 (at perihelion of Mars). The goal of this article has been achieved via using accurate analytical solution to Kepler’s equation in terms of Bessel function. The periodicity property of this solution and its particular values at specified times are discussed through some lemmas. The mathematical conditions of… 
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