Kolmogorov-Arnold-Moser torus orbit prediction from two-line element sets

Abstract

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 accuracy analysis of the new orbit determination method by using Simplified General Perturbations 4 (SGP4) and Two-Line Element Set (TLE) as observational data.