A Note on the Canonical Character of the Stiefel-Scheifele Time Element

Ferrándiz, José M.; Sansaturio, M. E.

doi:10.1007/978-1-4899-1085-1_52

Cited by 1 publication

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“…Numerical tests show that the integration of the stabilized equations in Cartesian coordinates equipped with a time element can be as accurate as a regularized set of elements (Janin 1974). An interesting property of the Stiefel-Scheifele time element is that it can be incorporated as a coordinate into several canonical sets of variables by means of a canonical transformation applied in the extended phase space (Ferrándiz & Sansaturio 1995).…”

Section: Introductionmentioning

confidence: 99%

Time Elements for Enhanced Performance of the Dromo Orbit Propagator

Baù

Bombardelli

2014

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We propose two time elements for the orbit propagator named Dromo. One is linear and the other constant with respect to the independent variable, which coincides with the osculating true anomaly in the Keplerian motion. They are defined from a generalized Kepler's equation written for negative values of the total energy and, unlike the few existing time elements of this kind, are free of singularities. To our knowledge it is the first time that a constant time element is associated with a second-order Sundman time transformation. Numerical tests to assess the performance of the Dromo method equipped with a time element show the remarkable improvement in accuracy for the perturbed bounded motion around the Earth compared to the case in which the physical time is a state variable. Moreover, the method is competitive with and even better than other efficient sets of elements. Finally, we also derive a time element for a null and positive total energy.

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Section: Introductionmentioning

confidence: 99%

Time Elements for Enhanced Performance of the Dromo Orbit Propagator

Baù

Bombardelli

2014

View full text Add to dashboard Cite

show abstract

A Note on the Canonical Character of the Stiefel-Scheifele Time Element

Cited by 1 publication

References 6 publications

Time Elements for Enhanced Performance of the Dromo Orbit Propagator

Time Elements for Enhanced Performance of the Dromo Orbit Propagator

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