Accession Number:

AD0646449

Title:

ESTIMATES OF THE REMAINDERS OF HILL'S SERIES,

Descriptive Note:

Corporate Author:

FOREIGN TECHNOLOGY DIV WRIGHT-PATTERSON AFB OHIO

Personal Author(s):

Report Date:

1966-09-30

Pagination or Media Count:

28.0

Abstract:

Estimates of the remainders in Hills series are obtained for cases where the coefficients in these series which are series in powers of m n sub 0n sub 1-n sub 0where 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 Hills series expanded in powers of m to the 2nd, which were examined in Lyapunovs 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.

Subject Categories:

  • Celestial Mechanics
  • Numerical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE