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A note on an attempt at more efficient Poisson series evaluation

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Abstract

Eliminating many of the trigonometric function calls by a suitable series transformation has resulted in a substantial reduction of on-line computing time while very long Poisson series are being evaluated. A further reduction has been realized by applying a short SNOBOL processor to the FORTRAN coding of the transformed series which eliminates many of the multiplication operations during the course of series evaluation.

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References

  • Bender, P. L., Currie, D. G., Dicke, R. H., Eckhardt, D. H., Faller, J. E., Kaula, W. M., Mulholland, J. D., Plotkin, H. H., Poultney, S. K., Silverberg, E. C., Wilkinson, D. T., Williams, J. G., and Alley, C. O.: 1973,Science 182, 224.

    Google Scholar 

  • Danby, J. M. A., Deprit, A., and Rom, A. R. M.: 1965,Boeing Sci. Res. Lab., Math. Note No. 432.

  • Eckhardt, D. H.: 1965,Astron. J.,70, 466.

    Google Scholar 

  • Eckhardt, D. H.: 1970,The Moon 1, 264.

    Google Scholar 

  • Eckhardt, D. H.: 1974, Private communication.

  • Jefferys, W. H.: 1970,Celes. Mech. 2, 474.

    Google Scholar 

  • Jefferys, W. H.: 1972,ibid..

    Google Scholar 

  • Williams, J. G., Eckhardt, D. H., Kaula, W. M., and Slade, M. A.: 1973,The Moon 8, 469.

    Google Scholar 

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Authors and Affiliations

  1. Dept. of Astronomy, University of Texas at Austin, 78712, Austin, Tex., USA

    Peter J. Shelus & William H. Jefferys III

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  1. Peter J. Shelus
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  2. William H. Jefferys III
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Shelus, P.J., Jefferys, W.H. A note on an attempt at more efficient Poisson series evaluation. Celestial Mechanics 11, 75–78 (1975). https://doi.org/10.1007/BF01228737

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  • DOI: https://doi.org/10.1007/BF01228737

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