Acknowledgements

We would like to thank John Johnson of the Harvard-Smithsonian Center for Astrophysics for his valuable input on this project. We also thank him for establishing the Johnson Exolab as an environment where undergraduates and postdoctoral scholars can work together on projects like this one.

E. Price would like to thank Mr. and Mrs. Carl Larson for providing funding for her 2013 Carolyn Ash SURF Fellowship.

The LevelScheme \citep{Caprio2005CPC} scientific figure preparation system for Mathematica was used in the preparation of this paper.