Open Access. Powered by Scholars. Published by Universities.®
Physical Sciences and Mathematics Commons™
Open Access. Powered by Scholars. Published by Universities.®
Articles 1 - 2 of 2
Full-Text Articles in Physical Sciences and Mathematics
Moid Using New Sets Of Universal Functions, Ayman Homda, Hany R. Dwidar, Abdelaziz A. Bakry, M.N. Mohamad Ismail, Ahmed El-Raffie
Moid Using New Sets Of Universal Functions, Ayman Homda, Hany R. Dwidar, Abdelaziz A. Bakry, M.N. Mohamad Ismail, Ahmed El-Raffie
Al-Azhar Bulletin of Science
In this paper, based on Goodyear's time transformation formula, we used a set of modified universal functions to construct the minimum distance function between any two celestial objects. We determined the distance between objects in space under a specific time constraint. We used the continued fractions method for quick convergence of the distance function. We used the inverse series to obtain a first initial guess to solve the convergence equation. Furthermore, the Lagrange multiplier method was used to determine the minimum distance between the two objects under the specified time constraint. We constructed an algorithm and applied it with the …
A Numerical Approach To Solve The Initial-Value Problem Of Two-Body With Universal Variable, Ahmed B. Yassen, Waleed N. Ahmed, Ahmed H. Ibrahim, Abdelaziz A. Bakry, Hany R. Dwidar
A Numerical Approach To Solve The Initial-Value Problem Of Two-Body With Universal Variable, Ahmed B. Yassen, Waleed N. Ahmed, Ahmed H. Ibrahim, Abdelaziz A. Bakry, Hany R. Dwidar
Al-Azhar Bulletin of Science
The solution of the initial-value problem of two-body gives inaccurate final state predictions for the orbital motions of artificial satellites. This is due to the presence of singularities and the poor selection of variables. In the current study, we numerically investigated the initial-value problem using the universal anomaly approach. To clarify the problem under concern, we carried out several numerical examples using a homemade software package. We considered five space missions, around the two planets Earth and Venus, which represent circular, near circular and ellipse orbits. We showed that the universal anomaly approach facilitates the numerical and analytical treatments of …