BYU

Abstract by Nicole Havens

Personal Infomation


Presenter's Name

Nicole Havens

Degree Level

Masters

Abstract Infomation


Department

Mathematics

Faculty Advisor

Lennard Bakker

Title

A Simplified Four-body Problem with Binary Asteroids

Abstract

NASA uses a restricted three-body problem to plan their space missions. Given that there is not yet a solution for the n-body problem larger than two, this presentation explores the benefits of retaining aspects of the restricted three-body problem in a simplified four-body problem that allows for gravitational interaction between binary asteroids. Collinear relative equilibria of these binary asteriods are explored through analytical and numerical methods.