Journal of Aeronautics & Aerospace Engineering
Open Access

N-body problem: The theory and application

3^rd International Conference and Exhibition on Satellite & Space Missions

May 11-13, 2017 Barcelona, Spain

Ahmed Hafez Mohammed Ibrahim

Al-Azhar University, Egypt

Posters & Accepted Abstracts: J Aeronaut Aerospace Eng

Abstract :

The history of the n-body problem: when did this problem appear? Who are the scientists and researchers helped in solutions of this problem? Examples of the n-body are: Two body problems, three body problems and four body problems. Types of solutions used are analytical solution, numerical solution, semi-analytical solutions, qualitative solutions and quantitative solutions. Types of restrictions are used to solve n-body problem. Types of systems of equations used to solve n-body problem are: Newtonian equations of motion and Hamiltonian equations. Application of n-body problem on Sun-Earth-Moon-Spacecraft is treated as a restricted fourbody problem finding liberation points as special solution. These liberation points can be used in space mission as parking orbit or space station. The effect of solar radiation in these liberation points is studied.

Biography :

Email: ahmed_hafez@azhar.edu.eg