A new time element for a general time transformation

Mathematics

Scientific paper

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Astrodynamics, Equations Of Motion, Numerical Integration, Satellite Orbits, Time Functions, Transformations (Mathematics), Error Analysis, Hamiltonian Functions, Stabilization

Scientific paper

The paper introduces a new time element to be used with a general time transformation for satellite equations of motion. The purpose of this time element is to reduce the growth of the numerical errors with respect to the time integration. It is characteristic for the new time element tau, that the relation between the time t and the element tau does not depend on the independent variable.

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