TL;DR
This paper introduces a streamlined implementation of the ideal frame formulation for perturbed Keplerian motion, reducing the integration dimension from 8 to 7, which slightly enhances runtime efficiency while maintaining accuracy.
Contribution
It presents a novel 7-dimensional differential system for ideal frame formulation, improving computational efficiency over traditional 8-dimensional methods.
Findings
Reduced integration dimension from 8 to 7 variables
Slight improvement in runtime performance
Maintains comparable accuracy to previous methods
Abstract
An implementation of the ideal frame formulation of perturbed Keplerian motion is presented which only requires the integration of a differential system of dimension 7, contrary to the 8 variables traditionally integrated with this approach. The new formulation is based on the integration of a scaled version of the Eulerian set of redundant parameters, and slightly improves runtime performance with respect to the 8 dimensional case while retaining comparable accuracy.
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