Murison is still working on calculation of orbital parameter errors of an orbiting body from incomplete state vector observations taken from an orbiting platform. During development of the numerical machinery in Maple to accomplish the numerical parts of this task, Murison discovered a new algorithm for fast solution of Kepler's equation. As shown in the plot below, at a solution precision of 10
-14 radians (2 nanoarcsec) about 71 percent of the
M-e plane requires only 2 iterations, and about 22 percent of the
M-e plane needs only 3 iterations. (
M is mean anomaly,
e is orbital eccentricity.) This is quite interesting, as the algorithm is fairly fast. Also as part of the orbital parameter errors work, Murison developed a Maple module to manipulate equations involving vectors where the vectors are represented symbolically rather than having to provide specific vector components. Using pattern recognition, the module knows the rules of vector algebra and about various basic vector identities, from which it can determine more-complicated identities and thus greatly simplify unwieldy vector equations.
For the newly-resurrected Newcomb project (aka "Newcomb Lite"), Murison made available his C++ utility classes that he and Hilton will make use of.
Murison continued assisting in the development of AA's new web site.
Murison continued his duties as Secretary of the AAS Division on Dynamical Astronomy, conducting the 2006 DDA elections and helping the LOC with various tasks in preparation for the 2006 DDA meeting.