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Time transformations and Cowell's methodThe precise numerical integration of Cowell's equations of satellite motion is frequently performed with an independent variable s defined by an equation of the form dt = cr to the n-th power ds, where t represents time, r the radial distance from the center of attraction, c is a constant, and n is a parameter. This has been primarily motivated by the 'uniformizing' effects of such a transformation resulting in desirable 'analytic' stepsize control for elliptical orbits. This report discusses the 'proper' choice of the parameter n defining the independent variable s for various types of orbits and perturbation models, and develops a criterion for its selection.
Document ID
19780062291
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
External Source(s)
Authors
Velez, C. E.
(NASA Goddard Space Flight Center Greenbelt, Md., United States)
Hilinski, S.
(Computer Science Technicolor Associates Greenbelt, Md., United States)
Date Acquired
August 9, 2013
Publication Date
January 1, 1978
Publication Information
Publication: Celestial Mechanics
Volume: 17
Subject Category
Astrodynamics
Accession Number
78A46200
Distribution Limits
Public
Copyright
Other

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