ESTIMATES OF THE REMAINDERS OF HILL'S SERIES,

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.

Document Details

Document Type
Technical Report
Publication Date
Sep 30, 1966
Accession Number
AD0646449

Entities

People

  • M. S. Petrovskaya

Organizations

  • National Air and Space Intelligence Center

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Accuracy
  • Coefficients
  • Motion

Fields of Study

  • Mathematics

Readers

  • Approximation Theory.
  • Space Exploration and Orbital Mechanics.