Generalized Multistep Methods in Satellite Orbit Computation
- 1 October 1968
- journal article
- Published by Association for Computing Machinery (ACM) in Journal of the ACM
- Vol. 15 (4) , 712-719
- https://doi.org/10.1145/321479.321493
Abstract
The theory of generalized multistep methods using an off-grid point is extended to the special second-order equation y″ = f ( x , y ). New high-order methods for solving this equation, based on quasi-Hermite interpolating polynomials, are shown to exist, as well as new explicit generalized methods for a first-order equation. Some results in the theory of quasi-Hermite interpolation are given, and results of computations of an unperturbed orbit trajectory are presented.Keywords
This publication has 4 references indexed in Scilit:
- A Multistep Generalization of Runge-Kutta Methods With Four or Five StagesJournal of the ACM, 1967
- A Modified Multistep Method for the Numerical Integration of Ordinary Differential EquationsJournal of the ACM, 1965
- Generalized Multistep Predictor-Corrector MethodsJournal of the ACM, 1964
- Note on the Numerical Integration of FormulaMonthly Notices of the Royal Astronomical Society, 1924