Skip to main content
SpringerLink
Log in

An exercise in symbolic programming: Computation of general normalized inclination functions

  • Published:
Celestial mechanics Aims and scope Submit manuscript

Abstract

Computation of the general normalized inclination functionsA k lm(i) defined by R. H. Gooding is studies as an example of a representative problem in symbolic programming applied to celestial mechanics. The performance of three different computing systems (one for general use, one for special-purpose applications in celestial mechanics, and one whose data-structures are intended to adapt themselves to descriptions of special-purpose applications) on the problem is discussed, together with aspects of their operation which are likely to require the user's attention in most such computations. An Appendix contains the values of the functions throughl=6.

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

  • Allan, R. R.: 1965,Proc. Roy. Soc. A 288, 60.

    Google Scholar 

  • Campbell, J. A.: 1971,Comp. J. 14, 7.

    Google Scholar 

  • Campbell, J. A. and Jefferys, W. H.: 1970,Celest. Mech. 2, 467.

    Google Scholar 

  • Engeli, M. E.: 1969,Adv. Information Systems Sci. 1, 117.

    Google Scholar 

  • Gooding, R. H.: 1971,Celest. Mech. 4, 91.

    Google Scholar 

  • Harris, F. E. and Michels, H. H.: 1965,J. Chem. Phys. 43, S165.

    Google Scholar 

  • Hearn, A. C.: 1968,Interactive Systems for Experimental Applied Mathematics (ed. by M. Klerer and J. Reinfelds), Academic Press, New York, p. 77.

    Google Scholar 

  • Hearn, A. C.: 1970, ‘REDUCE 2 User's Manual’, Stanford Artificial Intelligence Project memo AIM-133, Stanford, Calif.

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

    Google Scholar 

  • Jefferys, W. H.: 1971,Comm. A.C.M. 14, 538.

    Google Scholar 

  • Knowlton, K.C.: 1966,Comm. A.C.M. 9, 616.

    Google Scholar 

  • Rom, A.: 1971,Celest. Mech. 3, 331.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Dept. of Physics, Center for Particle Theory, University of Texas at Austin, Austin, Tex., USA

    J. A. Campbell

  2. Dept. of Computer Science, University of Texas at Austin, Austin, Tex., USA

    J. A. Campbell

Authors
  1. J. A. Campbell
    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

Campbell, J.A. An exercise in symbolic programming: Computation of general normalized inclination functions. Celestial Mechanics 6, 187–197 (1972). https://doi.org/10.1007/BF01227780

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01227780

Keywords

Search

Navigation