Continued Fraction Evaluation of the Universal Y’s Functions

Mohammed Adel Sharaf¹, Abdel-naby Saad Saad^2,3*, Nihad Saad Abd El Motelp^2,4

¹Department of Astronomy, Faculty of Science, King Abdulaziz University, Jeddah, KSA.
²Department of Astronomy, National Research Institute of Astronomy and Geophysics, Cairo, Egypt.
³Department of Mathematics, Preparatory Year, Qassim University, Buraidah, KSA.
⁴Department of Mathematics, Preparatory Year for Girls Branch, Hail University, Hail, KSA.

DOI: 10.4236/ijaa.2015.51003                

Abstract

In the present paper, an efficient algorithm based on the continued fractions theory was established for the universal Y’s functions of space dynamics. The algorithm is valid for any conic motion (elliptic, parabolic or hyperbolic).

Keywords

Universal Kepler Equation, Continued Fraction Technique, Y-Universal Function

Conflicts of Interest

The authors declare no conflicts of interest.

References

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