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.
Descriptors:
Subject Categories:
- Theoretical Mathematics