Programming Systems for Analytical Developments on Computers

Davis, Morgan

doi:10.1086/110615

Cited by 13 publications

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“…are required 6) Applying the averaging operator on the averaged to osculating VOP equations of motion transformation (1.15), it appears that these conditions (1.25)…”

Section: )mentioning

confidence: 99%

“…--Engineers and physicists, drawn from disciplines for which the electronic computer seemed to be a most promising tool, and who wrote special purpose programs in order to solve their specific problems The two main drawbacks of early FORMAC were the lack of space for programs in execution and the absence of a few basic simplifications [6]. The first problem was compensated by the possibility of dumping information onto magnetic tape and erasing instructions no longer of interest to the user.…”

Section: Introductionmentioning

confidence: 99%

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Computerized Algebraic Utilities for the Construction of Nonsingular Satellite Theories

Zeis¹,

Cefola²

1980

Journal of Guidance and Control

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This thesis investigates the possibilities offered to celestial mechanics by a general purpose algebraic language, MACSYMA. A computerized algebraic utility has been implemented for the construction of a first-order nonsingular semianalytic satellite theory. This package can generate the special functions which appear in the expansion of the gravitational potential in terms of equinoctial variables, the averaged potential and equations of motion and short-periodics due to an arbitrary harmonic. The MACSYMA satellite theory package is used to build an analytical tool to handle the critical inclination problem for small eccentricity orbits. The eccentricity variations due to the zonal harmonics computed theoretically are in agreement with actual observation data. The dramatic importance of the high degree odd zonal harmonics in the vicinity of the critical inclination is illustrated.

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“…are required 6) Applying the averaging operator on the averaged to osculating VOP equations of motion transformation (1.15), it appears that these conditions (1.25)…”

Section: )mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%