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).
References
[1]
Sharaf, M.A. and Saad, A.S. (2014) New Set of Universal Functions for the Two Body-Initial Value Problem. Astrophysics and Space Science, 349, 71-81. (Paper I)
[2]
Gautschi, W. (1967) Computational Aspects of Three-Term Recurrence Relations. SIAM Review, 9, 24-82. http://dx.doi.org/10.1137/1009002
[3]
Sharaf, M.A. (2006) Computations of the Cosmic Distance Equation. Applied Mathematics and Computation, 174, 1269-1278. http://dx.doi.org/10.1016/j.amc.2005.05.054
[4]
Sharaf, M.A., Almleaky, Y.M., Malawi, A.A., Goharji, A.A. and Basurah, H.M. (2004) Symbolic Analytical Expressions of the Physical Characteristics for N-Dimensional Radially Symmetrical Isothermal Models. AJSE, King Fahd, Univ., 29, 67-82.
[5]
Sharaf, M.A. and Banajh, M.A. (2001) Continued Fraction Evaluation of the Stumpff Functions of Space Dynamics. Scientific Journal of Faculty of Science, Minufiya University, XV, 267-282.
[6]
Sharaf, M.A. and Najmuldeen, S.A. (2001) Continued Fraction Evaluation of the Normal Distribution Function. Scientific Journal of Faculty of Science, Minufiya University, XV, 311-324.
[7]
Battin, R.H. (1999) An Introduction to the Mathematics and Methods of Astrodynamics. Revised Edition, AIAA, Education Series, Reston, Virginia.
