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The elimination of short and intermediate period terms from the problem of a high altitude earth satelliteThe Delaunay-Similar elements of Scheifele (1976) are applied to the problem of an earth satellite that is perturbed by the sun, moon, and J2. All three effects are assumed to be the same order of magnitude. Since the external body terms depend explicitly on time, the time element appears as an additional angle variable. Also, the eccentric anomaly is used as a noncanonical auxiliary variable. A solution to the first Von Zeipel equation allows simultaneous elimination of short- and intermediate-period terms. The canonical transformation to mean elements is defined by a generating function that is a series involving Bessel coefficients.
Document ID
19770038006
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Graf, O. F., Jr.
(Analytical and Computational Mathematics, Inc. Houston, Tex., United States)
Date Acquired
August 9, 2013
Publication Date
November 1, 1976
Subject Category
Astronomy
Accession Number
77A20858
Distribution Limits
Public
Copyright
Other

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