Now showing items 1-5 of 5
Speed and Accuracy Tests of the Variable-Step Störmer-Cowell Integrator
(Univelt, Inc., 2005-02)
The variable-step Stormer-Cowell integrator is a non-summed, double-integration multi-step integrator derived in variable-step form. The method has been implemented with a Shampine-Gordon style error control algorithm ...
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, ...
Implementation of Gauss-Jackson Integration for Orbit Propagation
(American Astronautical Society, 2004)
The Gauss-Jackson multi-step predictor-corrector method is widely used in numerical integration problems for astrodynamics and dynamical astronomy. The U.S. space surveillance centers have used an eighth-order Gauss-Jackson ...