Skip to main content
Log in

Generalized multi-step methods with an application to orbit computation

  • Published:
Celestial mechanics Aims and scope Submit manuscript

Abstract

Generalized predictor-corrector algorithms are developed based on non-polynomial functions. The special case of two-body elliptic motion is examined, suitable function sets are established, and numerical results described.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Brock, P. and Murray, F.J.: 1952, ‘The Use of Exponential Sums in Step-by-Step Integration’,M.T.A.C. 6, 63–78, 138-150.

    Google Scholar 

  • Gautschi, W.: 1961, ‘Numerical Integration of Ordinary Differential Equations Based on Trigonometric Polynomials’,Numerische Mathematik 3.

  • Henrici, P.: 1962,Discrete Variable Methods in Ordinary Differential Equations, Wiley.

  • Herrick, S.: 1951, ‘Step-by-Step Integration of\(\ddot x = f(x,y,z,t)\) without a ‘Corrector’,M.T.A.C. 5, 61–67.

    Google Scholar 

  • Sheffield, C.: 1966, ‘Gravitational Field Signatures’,Ann. New York Acad. Sci. 140; Conference on Planetology and Space Mission Planning.

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Sheffield, C. Generalized multi-step methods with an application to orbit computation. Celestial Mechanics 1, 46–58 (1969). https://doi.org/10.1007/BF01230632

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01230632

Keywords

Navigation