Notions of Analytic Vs Numerical Stability as Applied to the Numerical Calculation of Orbits

Details Notions of Analytic Vs Numerical Stability as Applied to the Numerical Calculation of Orbits Notions of Analytic Vs Numerical Stability as Applied to the Numerical Calculation of Orbits

Dec 1974

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1974cemec..10..405v&link_type=abstract

Celestial Mechanics, Volume 10, Issue 4, pp.405-422

Physics

11

Scientific paper

This paper deals with the implications of ‘stability’ as applied to the numerical calculation of orbits. The study was motivated by the recent appearance of several proposed transformations of the classical Newtonian equations of motion which ‘analytically stabilize’ Cowell's method. This report analyzes the basic properties of such stabilizing transformations and shows the removal of the period as a parameter is the key to these transformations and, that although such transformations do not yield global numerical error bounds, the error propagation properties are more favorable-linear vs quadratic growth.

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