Ahmed Hafez Mohammed Ibrahim
Al-Azhar University Faculty of science
Egypt
Title: N –Body problem: The Theory and Application
Biography
Biography: Ahmed Hafez Mohammed Ibrahim
Abstract
The history of the n-body problem: when appeared this problem? Who scientist and researches help in solutions of this problem? Examples of the n-body: two body problem, three - body problem and four- body problem. Types of solutions are used as 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 are used to solve n-body problem: Newtonian equations of motion and Hamiltonian equations. Application of n-body problem on Sun-Earth-Moon-Spacecraft, treatment this problem as a restricted four-body problem finding liberation points as special solution. These liberation points can use in space mission as parking orbit or space station. The effect of solar radiation in these liberation points is studied.