BYU

Abstract by Nick Freeman

Personal Infomation


Presenter's Name

Nick Freeman

Co-Presenters

None

Degree Level

Undergraduate

Co-Authors

None

Abstract Infomation


Department

Mathematics

Faculty Advisor

Tiancheng Ouyang

Title

Variational Methods and Numerical Simulation of the N-Body Problem

Abstract

It is known that Newton’s Law of Gravitation, combined with his second law, produces a system of second-order nonlinear vector differential equations for the motion of N point masses m1, m2, … , mN. The force between masses mi and mj is given by G times their product divided by the square of the distance between them, where G is the universal constant of gravitation. The solution of the resultant system of equations is called the N-body problem.

In this talk, we discuss an introduction of the variational methods used in the N-body problem beginning from 2006. Our simulations implemented a solver for boundary value problems. We emphasize on numerically finding periodic solutions of boundary value problems of 4 bodies in two dimensions.