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Monthly Reports — 2004 December
 
Murison made further progress in the orbit-orbit distance problem. The condition equations for minimization of the distance is a pair of eight-order bivariate polynomials which are quite difficult to deal with. Murison found three reparameterizations of the circle for use as coordinate transformations of the condition equations. Two of those parameterizations reduce the order of the equations from eight to six, while the third increased the order to 14 (a somewhat surprising disappointment). Murison also continued with the writeup of this work.

Murison continued work with Efroimsky (USNO) on planetary precession, working out the coordinate transformation between precessing and non-precessing frames for use in the gauge equations in Murison's numerical program. (Recall that this program is to use a priori time series of planetary obliquity to calculate a time-varying precession vector, and its derivative, as seen in the precessing-nutating planetary frame.)

Murison continues to work with the USNO FTS project in a mostly-advisory role.