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This project compares the computational efficiency, stability/accuracy, and precision of various numerical integration schemes to determine which is most appropriate for use in conjunction analysis of satellite orbits. Specifically, this project examines a few of the top Runge-Kutta, extrapolation, and multistep algorithms, combining both previous research in this field with new analysis to form the final conclusion. In addition, a method is proposed for using dense output to expedite orbit calculations.

Comparing Three Types of Numerical Techniques for the Integration of Perturbed Satellite Motion