With regard to the problem of the distance function between two confocal Keplerian orbits, Murison is looking at the problem in a coordinate frame that rotates and scales with the orbit of one of the bodies. One can use some of the analytical machinery from the elliptic restricted three-body problem, which Murison has worked on in the past. It is hoped that this will either lead to some simplifications or shed further geometric insight into the problem, or both.
Murison resumed work on the "Computational Techniques" chapter of the new Explanatory Supplement.
Murison refereed a paper for the Astronomical Journal.