BYU

Abstract by Mitchell Sailsbery

Personal Infomation


Presenter's Name

Mitchell Sailsbery

Co-Presenters

None

Degree Level

Undergraduate

Co-Authors

Lennard Bakker

Abstract Infomation


Department

Mathematics

Faculty Advisor

Lennard Bakker

Title

Numerical Evidence for Non-integrability of the Two-Center Symmetric Pair Problem for Negative Energy

Abstract

The two center symmetric pair problem can be seen as a perturbation of Euler’s two center problem. Before perturbation, the problem is globally Liouville integrable. We present evidence that after the perturbation, the integrability ceases to be global. This result is already known for positive energy but here we show that this evidence also suggests non-integrability for the negative energy case. Then, future research ideas are discussed.