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):

• Deprit, A.
• Rom, A. R.

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:

• *EQUATIONS OF MOTION
• *FOURIER ANALYSIS
• ALGORITHMS
• DIGITAL COMPUTERS
• OPERATORS(MATHEMATICS)
• PERTURBATION THEORY
• RATIONAL NUMBERS
• REAL NUMBERS
• SPECIAL FUNCTIONS(MATHEMATICS)
• SYMBOLS

Subject Categories:

• Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE