General Mathematics

    

Estimates of the Residual Members of the Hill Series

Authors: M.S. Petrovskaya

Estimates have been obtained of the residual members of the Hill series for cases where the coefficients of these series, which are series by powers of $m (m=n_0/(n_1-n_0 ),n_0,n_1$ — average movements of the sun and moon), calculated with precision of the 2nd, 3rd, 4th, 5th, 6th power of $m$. There are also new estimates of the residual members of Hill's series, based on the powers of $m^2$, considered in the paper (Lyapunov, 1954). Estimates were found for the case $|m|≤sigma (≈0.080849)$, where $sigma$ is the value of the m parameter for the moon.

Comments: 42 Pages. Translation of Estimates of the residual members of the Hill series. Bull. ITA, IX, 4 (107). Translator: Thomas S. Ligon, orcit 0000-0002-4067-876X.

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[v1] 2025-10-04 16:27:50

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