Search
Now showing items 1-3 of 3
A Variable-Step Double-Integration Multi-Step Integrator
(Univelt, Inc., 2004-02)
A variable-step double-integration multi-step integrator is derived using divided differences. The derivation is based upon the derivation of Shampine-Gordon, a single-integration method. Variable-step integrators are ...
Accuracy and Speed Effects of Variable Step Integration for Orbit Determination and Propagation
(Univelt, Inc., 2003-08)
In this paper the fixed step Gauss-Jackson method is compared to two variable step integrators. The first is the variable step, variable order Shampine-Gordon method. The second is s-integration, which may be considered ...
The generalized Sundman transformation for propagation of high-eccentricity elliptical orbits
(Univelt, Inc., 2002-01)
A generalized Sundman transformation dt = cr^n ds for exponent n >= 1 may be used to accelerate the numerical computation of high-eccentricity orbits, by transforming time t to a new independent variable s. Once transformed, ...