Time transformations and Cowell's method

Details Time transformations and Cowell's method Time transformations and Cowell's method

Jan 1978

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978cemec..17...83v&link_type=abstract

Celestial Mechanics, vol. 17, Jan. 1978, p. 83-99.

Mathematics

3

Astrodynamics, Eccentric Orbits, Numerical Integration, Satellite Orbits, Transformations (Mathematics), Truncation Errors, Apogees, Elliptical Orbits, Equations Of Motion, Satellite Perturbation, Time Functions, Two Body Problem

Scientific paper

The 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.

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