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Automated, closed form integration of formulas in elliptic motion

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Abstract

In some perturbation theories it is possible to avoid expansion of the perturbations in powers of the eccentricity, obtaining results in closed form by using the true or eccentric anomaly instead of the mean anomaly. This paper describes an algorithm (which has been programmed for the 6600 computer using the formula manipulation system TRIGMAN) for automatically performing the integrals which arise in these theories.

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Authors and Affiliations

  1. University of Texas at Austin, Austin, USA

    William H. Jefferys

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  1. William H. Jefferys
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Jefferys, W.H. Automated, closed form integration of formulas in elliptic motion. Celestial Mechanics 3, 390–394 (1971). https://doi.org/10.1007/BF01231808

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  • DOI: https://doi.org/10.1007/BF01231808

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