THE APPLICATION OF GEGENBAUER POLYNOMIALS TO THE MICHELL INTEGRAL

Gegenbauer polynomials have been used to define the centerplane distribution of Havelock sources defining the ship in the Michell thin-ship theory. Orthogonality properties have been used to reduce the Michell integral to a double finite sum of coefficients defined in terms of the singularity distribution, the Froude number, and the length--draft ratio.

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    Society of Naval Architects and Marine Engineers

    601 Pavonia Avenue
    Jersey City, NJ  USA  07306-2907
  • Authors:
    • Michelsen, F C
  • Publication Date: 1972-3

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Filing Info

  • Accession Number: 00037483
  • Record Type: Publication
  • Source Agency: Society of Naval Architects and Marine Engineers
  • Files: TRIS
  • Created Date: Nov 10 1973 12:00AM