IJAA  Vol.5 No.1 , March 2015
Continued Fraction Evaluation of the Universal Y’s Functions
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).

Cite this paper
Sharaf, M. , Saad, A. , Motelp, N. (2015) Continued Fraction Evaluation of the Universal Y’s Functions. International Journal of Astronomy and Astrophysics, 5, 15-19. doi: 10.4236/ijaa.2015.51003.
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.

 
 
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