Gauss-Jackson Method
المؤلف:
Berry, M. M. and Healy, L. M
المصدر:
"Implementation of Gauss-Jackson Integration for Orbit Propagation." J. Astronaut. Sci. 52,
الجزء والصفحة:
...
23-12-2018
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Gauss-Jackson Method
A method for numerical solution of a second-order ordinary differential equation
first expounded by Gauss. It proceeds by introducing a function 
whose second differences are 
. The advantage of this method is that summation to get 
can be done exactly and that each rounding-off error in the correction term arises only a single time (Jeffreys and Jeffreys 1988, p. 300).
REFERENCES:
Berry, M. M. and Healy, L. M. "Implementation of Gauss-Jackson Integration for Orbit Propagation." J. Astronaut. Sci. 52, 331-357, 2004.
Cowell, P. H. Appendix to Greenwich Observations. Bellevue: 1909.
Jackson, J. "NOte on the Numerical Integration of 
." Monthly Not. Roy. Astron. Soc. 84, 602-606, 1924.
Jeffreys, H. and Jeffreys, B. S. "The Gauss-Jackson Method." §9.14 in Methods of Mathematical Physics, 3rd ed. Cambridge, England: Cambridge University Press, pp. 300-301, 1988.
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