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The evaluation ofHeuman's Lambda function and its application to calculate the gravitational effect of a right circular cylinder

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Summary

A computational scheme has been derived to generateHeuman's Lambda function. This has been applied to compute the gravitational attraction of a right vertical circular cylinder. Test computations show that the error introduced by assuming a semifinite cylinder in place of a finite one of depth 30 times its radius is 1.77%.

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References

  1. P. F. Byrd andM. D. Friedman,Handbook of elliptic integrals for engineers and physicists (Springer-Verlag 1954), 297.

  2. C. Hastings, Jr.,Approximations for digital computers (Princeton University Press 1955), 170.

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  4. T. Kolbenheyer,The gravity field of a homogeneous circular cylinder (in Russian), Studia Geophysica et Geodetica5 (1961).

  5. M. N. Nabighian,The gravitational attraction of a right vertical circular cylinder at points external to it, Geofis. Pura e Appl.53 (1962).

  6. D. Nagy,The gravitational attraction of a right rectangular prism, Geophysics31 (1966).

  7. D. S. Parasnis,Exact expressions for the gravitational attraction of a circular lamina of all points of space and of a right circular vertical cylinder at points external to it, Geophysical Prospecting9 (1961).

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Authors and Affiliations

  1. Dominion Observatory, Ottawa 3, Canada

    Dezső Nagy

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  1. Dezső Nagy
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Nagy, D. The evaluation ofHeuman's Lambda function and its application to calculate the gravitational effect of a right circular cylinder. PAGEOPH 62, 5–12 (1965). https://doi.org/10.1007/BF00875282

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  • DOI: https://doi.org/10.1007/BF00875282

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