Within the Gaia Data Processing and Analysis Consortium ( DPAC ), Lindegren leads the scientific implementation of the Astrometric Global Iterative Solution, a core element in the astrometric processing of the Gaia data.
22.
Kuhn and Kuenne found an iterative solution for the general Fermat problem in 1962, and, in 1972, Tellier found a direct numerical solution to the Fermat triangle problem, which is trigonometric.
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Most recently, Lee and R . Friedberg have developed a new method to solve the Schr�dinger Equation, leading to convergent iterative solutions for the long-standing quantum degenerate double-wall potential and other instanton problems.
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:: Well, even without full diff-eq ( which I'm not an expert at; I'm more of a number theory guy ), an iterative solution should get you fairly close.
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Such approximations can be used, for instance, as starting values for iterative solutions of Kepler's equation, or in calculating rise or set times, which due to atmospheric effects cannot be predicted with much precision.
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It was later popularized by Alfred Weber in 1909 . Kuhn and Kuenne s iterative solution found in 1962, and Tellier s solution found in 1972 apply to the Weber triangle problem as well as to the Fermat one.
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Yet semantically, this mathematical blending was considerably more complex than the mechanics of subroutines, because an iterative solution engine was attached to each problem model by its " calling " operator template above it in the program hierarchy.
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I was assuming that the mass of the moon was negligible ( as implied by my original question ) but I tried my Excel " iterative solution " again with the mass of the moon factored in and it didn't make a significant difference.
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It was first derived by Johannes Kepler in 1609 in Chapter 60 of his " Astronomia nova ", and in book V of his " Epitome of Copernican Astronomy " ( 1621 ) Kepler proposed an iterative solution to the equation.
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Obtaining " geodetic " latitude from " geocentric " coordinates from this relationship requires an iterative solution approach, otherwise the " geodetic " coordinates may be computed via the approach in the section above labeled " From ECEF to geodetic coordinates ."
