On the time-step to be used for the computation of orbits by numerical integration
HTML articles powered by AMS MathViewer
- by J. W. Sheldon, B. Zondek and M. Friedman PDF
- Math. Comp. 11 (1957), 181-189 Request permission
Erratum: Math. Comp. 20 (1966), 468-471.
References
- W. J. Eckert, “The computation of special perturbations by the punched card method,” Astronomical Jn., v. 44, 1935, p. 177-182.
W. J. Eckert, Dirk Brouwer, & G. M. Clemence, “Coordinates of the five outer planets (1653-2060),” Astronomical papers prepared for the use of the American Ephemeris and Nautical Almanac, v. 12, U. S. Gov. Printing Office, Washington, D. C., 1951.
Dirk Brouwer, “On the accumulation of errors in numerical integration,” Astronomical Jn., v. 46, 1937, p. 149-153.
- Lothar Collatz, Numerische Behandlung von Differentialgleichungen, Die Grundlehren der mathematischen Wissenschaften in Einzeldarstellungen mit besonderer Berücksichtigung der Anwendungsgebiete. Band LX, Springer-Verlag, Berlin-Göttingen-Heidelberg, 1951 (German). MR 0043563 C. Stürmer, “Elektronenbahnen im Felde eines Elementarmagneten und ihre Anwendung auf Brüches Modellversuche und auf Eschenhagens Elementarwellen des Erdmagnetismus,” Zeit. für Astrophysik, v. 1, 1930, p. 237-274. H. A. Rademacher, “On the accumulation of errors in processes of integration on highspeed calculating machines,” Proceedings of a symposium on large scale digital calculating machinery, The Computation Laboratory of Harvard University Annals, v. 16, 1948, p. 176-185.
Additional Information
- © Copyright 1957 American Mathematical Society
- Journal: Math. Comp. 11 (1957), 181-189
- MSC: Primary 65.3X
- DOI: https://doi.org/10.1090/S0025-5718-1957-0092232-2
- MathSciNet review: 0092232