Accession Number:

AD0649611

Title:

COMPUTERIZED EXPANSIONS IN ELLIPTIC MOTION

Descriptive Note:

Corporate Author:

BOEING SCIENTIFIC RESEARCH LABS SEATTLE WA MATHEMATICS RESEARCH LAB

Personal Author(s):

Report Date:

1967-02-01

Pagination or Media Count:

44.0

Abstract:

The functions of the Keplerian elliptic motion are expanded with respect to mean anomaly and the eccentricity by applying Poincares method of continuation in a direct manner to the equations of motion. Two algorithms are proposed both lead to programs by which the classical expansions are constructed symbolically and automatically on a computer in double precision arithmetic. Even to as high a degree as 30 in the eccentricity, the procedures are remarkably swift. Special care is taken here in describing significant error controls at each step of the recurrences.

Subject Categories:

  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE