Accession Number : AD0646449

Title :   ESTIMATES OF THE REMAINDERS OF HILL'S SERIES,

Corporate Author : FOREIGN TECHNOLOGY DIV WRIGHT-PATTERSON AFB OHIO

Personal Author(s) : Petrovskaya,M. S.

Report Date : 30 SEP 1966

Pagination or Media Count : 28

Abstract : Estimates of the remainders in Hill's series are obtained for cases where the coefficients in these series which are series in powers of m = n sub 0/(n sub 1-n sub 0)(where n sub 0 and n sub 1 are the mean angular velocities of the sun and the moon), are computed with accuracy to the 2nd, 3rd, 4th, 5th, and 6th powers of m. New estimates are also obtained for the remainders of Hill's series expanded in powers of m to the 2nd, which were examined in Lyapunov's paper (1954). The estimates are obtained for the case of m < o = sigma (approx. 0.080849), where sigma is the value of the parameter m for the moon.

Descriptors :   (*POWER SERIES, APPROXIMATION(MATHEMATICS)), (*CELESTIAL MECHANICS, APPROXIMATION(MATHEMATICS)), CONVERGENCE, EQUATIONS OF MOTION, ERRORS, USSR

Subject Categories : Celestial Mechanics
      Numerical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE