JOURNAL BROWSE
Search
Advanced SearchSearch Tips
A GENERALIZATION OF THE ADAMS-BASHFORTH METHOD
facebook(new window)  Pirnt(new window) E-mail(new window) Excel Download
  • Journal title : Honam Mathematical Journal
  • Volume 32, Issue 3,  2010, pp.481-491
  • Publisher : The Honam Mathematical Society
  • DOI : 10.5831/HMJ.2010.32.3.481
 Title & Authors
A GENERALIZATION OF THE ADAMS-BASHFORTH METHOD
Hahm, Nahm-Woo; Hong, Bum-Il;
  PDF(new window)
 Abstract
In this paper, we investigate a generalization of the Adams-Bashforth method by using the Taylor`s series. In case of m-step method, the local truncation error can be expressed in terms of m - 1 coefficients. With an appropriate choice of coefficients, the proposed method has produced much smaller error than the original Adams-Bashforth method. As an application of the generalized Adams-Bashforth method, the accuracy performance is demonstrated in the satellite orbit prediction problem. This implies that the generalized Adams-Bashforth method is applied to the orbit prediction of a low-altitude satellite. This numerical example shows that the prediction of the satellite trajectories is improved one order of magnitude.
 Keywords
Adams-Bashforth method;multistep;orbit prediction problem;
 Language
English
 Cited by
1.
A STUDY OF GENERALIZED ADAMS-MOULTON METHOD FOR THE SATELLITE ORBIT DETERMINATION PROBLEM,;;

Korean Journal of Mathematics, 2013. vol.21. 3, pp.271-283 crossref(new window)
1.
A STUDY OF GENERALIZED ADAMS-MOULTON METHOD FOR THE SATELLITE ORBIT DETERMINATION PROBLEM, Korean Journal of Mathematics, 2013, 21, 3, 271  crossref(new windwow)
 References
1.
R. L. Burden and J. D. Faires, Numerical Analysis, PWS Publishing Company, Boston, 1993.

2.
D. Kincaid and W. Cheney, Numerical Analysis, Brooks/Cole Publishing Company, Pacific Grove, 1991.

3.
S. Lim and B. E. Schutz, Orbit Maintenance and Maneuver Design for the EOS Laser Altimeter Satellite, Spaceflight Mechanics: Advances in the Astronautical Sciences. 89 (1995), 1437-1449.

4.
GLAS DESIGN TEAM, EOS ALT/GLAS Phase-A Study: Geoscience Laser Altimeter System, NASA Goddard Space Flight Center, Greenbelt, Maryland, 1993.

5.
D. D. Rowlands, J. J. MaCarthy, M. H. Torrence and R. G. Williamson, Multi-Rate Numerical Integration of Satellite Orbits for Increased Computational Efficiency, Journal of the Astronautical Sciences, 43(1995), 89-100.