Now showing items 1-6 of 6
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 ...
Orbit propagation with Lie transfer maps in the perturbed Kepler problem
(Springer Science+Business Media B.V., 2003-02)
The Lie transfer map method may be applied to orbit propagation problems in celestial mechanics. This method, described in another paper, is a perturbation method applicable to Hamiltonian systems. In this paper, it is ...
Comparison Of Accuracy Assessment Techniques For Numerical Integration
(Univelt, Inc., 2003-02)
Knowledge of accuracy of numerical integration is important for composing an overall numerical error budget; in orbit determination and propagation for space surveillance, there is frequently a computation time-accuracy ...
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 ...