Abstract by Nicole Havens
A Simplified Four-body Problem with Binary Asteroids
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.