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Stabilization of Cowell's method

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Abstract

This paper offers a modification of the Cowell method for the integration of orbits. The modification is characterized by the property that it will integrate unperturbed Kepler motion exactly (excluding truncation errors), thus the slight instability of the Cowell Method is avoided. Furthermore, the modification takes into account the most important secular effects of orbit motion. As an example of the applicability of the modified method to perturbed motion, the equations of motion of an artificial earth satellite are integrated. In the case of elliptic initial conditions regularization by a Levi-Civita transformation was used.

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References

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Authors and Affiliations

  1. Yale University Observatory, New Haven, Connecticut

    E. Stiefel & D. G. Bettis

  2. Eidgenössische Technische Hochschule, Institut für Angewandte Mathematik, Leonhardstraße 33, 8006, Zürich, Schweiz

    E. Stiefel

Authors
  1. E. Stiefel
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  2. D. G. Bettis
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Visiting Professor from Institut für Angewandte Mathematik, Eidgenössische Technische Hochschule, Zurich, Switzerland.

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Stiefel, E., Bettis, D.G. Stabilization of Cowell's method. Numer. Math. 13, 154–175 (1969). https://doi.org/10.1007/BF02163234

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  • DOI: https://doi.org/10.1007/BF02163234

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