Skip to main content
SpringerLink
Log in

On the construction of Roche harmonics

  • Published:
Astrophysics and Space Science Aims and scope Submit manuscript

Abstract

A method, involving boundary integral equations of the first kind is offered for obtaining exact representations for solutions to interior and exterior harmonic problems. The method is constructive and a representation can be obtained to any degree of accuracy. The determination of Roche harmonics appears as a special case.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  • Hsiao, G. C. and Roach, G. F.: 1979,J. Math. Anal. Appl. 68(2), 557.

    Google Scholar 

  • Kleinman, R. E. and Roach, G. F.: 1974,SIAM Rev. 16(2), 214.

    Google Scholar 

  • Kopal, Z.: 1969,Astrophys. Space Sci. 5, 360.

    Google Scholar 

  • Kopal, Z.: 1970,Astrophys. Space Sci. 8, 149.

    Google Scholar 

  • Kopal, Z.: 1971,Astrophys. Space Sci. 10, 328.

    Google Scholar 

  • Kopal, Z.: 1972, inAdv. Astron. Astrophys. 9, 1.

  • Kopal, Z. and Sekender Ali, A.: 1971,Astrophys. Space Sci. 11, 423.

    Google Scholar 

  • Langebartel, R. G.: 1979,Astrophys. Space Sci. 60, 431.

    Google Scholar 

  • Miranda, C.: 1970,Partial Differential Equations of Elliptic Type, Springer, New York.

    Google Scholar 

  • Prendergast, K. H.: 1960,Astrophys. J. 132, 162.

    Google Scholar 

  • Roach, G. F.: 1975,Astrophys. Space Sci. 36, 159.

    Google Scholar 

  • Roach, G. F.: 1968,Astrophys. Space Sci. 1, 32.

    Google Scholar 

  • Roche, E. A.: 1851,Mem. Acad. Sci. Montpellier 2, 21.

    Google Scholar 

  • Smirnov, V. I.: 1964,A Course of Higher Mathematics, Pergamon Press, Oxford.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, University of Strathclyde, Glasgow, Scotland

    G. F. Roach

Authors
  1. G. F. Roach
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Roach, G.F. On the construction of Roche harmonics. Astrophys Space Sci 80, 237–247 (1981). https://doi.org/10.1007/BF00649150

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00649150

Keywords

Search

Navigation