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Propagation of local errors in the solutions of the differential equations for orbital elements

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Abstract

The propagation of errors in the solutions of the differential equations for the orbital elements of perturbed two-body motion is investigated. It is shown that the error in the time-element grows linearly for differential equations for orbital elements when only perturbations are present on the right-hand side, cubically for formulations which have a two-body term on the right-hand side, and linearly for formulations based upon extended phase space Hamiltonians.

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Authors and Affiliations

  1. Johnson Space Center, NASA, Houston, Texas, USA

    Victor R. Bond

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  1. Victor R. Bond
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Bond, V.R. Propagation of local errors in the solutions of the differential equations for orbital elements. Celestial Mechanics 27, 203–210 (1982). https://doi.org/10.1007/BF01271694

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  • DOI: https://doi.org/10.1007/BF01271694

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