Abstract
To examine the stabilizing effects of a modification of the classical finite difference methods of numerical integration the differential equations of perturbed Keplerian motion are integrated for two examples: an artificial satellite of the Earth, and Hill's variation orbit. The modified methods remove much of the instability that is inherent to the classical methods.
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Bettis, D.G. Stabilization of finite difference methods of numerical integration. Celestial Mechanics 2, 282–295 (1970). https://doi.org/10.1007/BF01235122
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DOI: https://doi.org/10.1007/BF01235122