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Analytical Lunar Ephemeris: Brouwer's Suggestion
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1970
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Analytical Lunar EphemerisComputational Number TheoryPlanetary GeologyAnalytic Number TheoryLunar TheoryAnalytic CombinatoricsBinomial ExpansionsLunar ScienceSlow Convergence
in the main problem of lunar theory, elimination of the monthly terms brings in divisors in the form (j+km), where m is the ratio n'/n. Delaunay develops them systematically in powers of m. Brouwer sug- gested examining whether these binomial expansions could be the primary cause of slow convergence in the powers of m. The answer to that question is in the negative.