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This paper describes a method to calculate the optimal impulsive maneuver to avoid the collisions using Simplified General Perturbation 4 (SGP4) and Two Line Element (TLE). It also presents a rigorous analysis of the method to investigate the relative dynamics of the two colliding space objects assuming the encounter is instantaneous. Different collision geometries are used for test cases. For all...
A new method for orbit prediction, which is as accurate as numerical methods and as fast as analytical methods, in terms of computational time, is needed. Kolmogorov-Arnold-Moser (KAM) torus orbit prediction method is a modern orbit determination that can meet the aforementioned needs. This paper presents a differential correction technique to create parameters needed by the new theory and an approximate...
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