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Monthly Reports — 2004 July
 
Murison and Munteanu (SEAP student) continued their joint work on the two-body distance problem. Munteanu succeeded in transforming the problem to several of the classical orthogonal coordinate systems. Unfortunately, none of these transformations appear to be advantageous. Murison finished looking at the problem in a rotating coordinate frame, which also did not simplify the problem. For quantitative comparisons with our new method of finding minimum distances, Munteanu is working on implementing Sitarski's method, which researches have used up to now. Murison and Munteanu continued preparing summaries of work to date in preparation for a paper for the AJ.

Murison continued finding solutions of definite integrals of the form Int( sin(theta)^n*cos(theta)^m/(1+e*cos(theta))^k, theta=0..2*Pi ). Based on a suggestion from Efroimsky, Murison found a successive derivatives algorithm to find all solutions for the n=0 case.

Murison and Efroimsky settled on a roadmap for work on the new formulation for the motions of satellites about planets. Murison is working anew on the numerical side.

Continued testing at the Clay Center telescope in Boston shows that Murison's computer program to control the USNO dFTS adaptive optics (AO) module is working at a maximum frame rate of only 2-3 fps, instead of the expected peak rate of 30 fps. Murison is currently investigating possible causes.